Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 7, Problem 7.3.31RE
To determine
To find: The critical value (s) and rejection region (s) for a left-tailed test with
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the critical value.Determine the critical values for a two-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of n = 12.
True or false; Hypothesis testing on samples with fewer than 30 participants can be carried out by using the t-value for the corresponding level of significance in place of the zvalue when setting up the decision rule.
1. Identify the for steps of a hypothesis test as presented in this chapter.
2. Define the alpha level and the critical region for a hypothesis test.
3. Define a Type I error and a Type II error and explain the consequences of each.
4. If the alpha level is changed from a=.05 to a = .01
a. What happens to the boundaries for the critical region?
b. What happens to the probability of Type I error?
Chapter 7 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 7.1 - Prob. 1TYCh. 7.1 - Prob. 2TYCh. 7.1 - Prob. 3TYCh. 7.1 - Prob. 4TYCh. 7.1 - Prob. 5TYCh. 7.1 - What are the two types of hypotheses used in a...Ch. 7.1 - Describe the two types of errors possible in a...Ch. 7.1 - Prob. 3ECh. 7.1 - Does failing to reject the null hypothesis mean...Ch. 7.1 - True or False? In Exercises 510, determine whether...
Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Prob. 25ECh. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Prob. 44ECh. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Writing Hypotheses: Medicine A medical research...Ch. 7.1 - Writing Hypotheses: Transportation Network Company...Ch. 7.1 - Prob. 51ECh. 7.1 - Writing Hypotheses: Internet Provider An Internet...Ch. 7.1 - Prob. 53ECh. 7.1 - Getting at the Concept Explain why a level of...Ch. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.2 - Prob. 1TYCh. 7.2 - Prob. 2TYCh. 7.2 - Prob. 3TYCh. 7.2 - Prob. 4TYCh. 7.2 - Prob. 5TYCh. 7.2 - Prob. 6TYCh. 7.2 - Prob. 7TYCh. 7.2 - Prob. 8TYCh. 7.2 - Prob. 9TYCh. 7.2 - Prob. 10TYCh. 7.2 - Explain the difference between the z-test for ...Ch. 7.2 - In hypothesis testing, does using the critical...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Prob. 24ECh. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Prob. 31ECh. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Writing When P , does the standardized test...Ch. 7.2 - Writing In a right-tailed test where P , does the...Ch. 7.3 - Prob. 1TYCh. 7.3 - Prob. 2TYCh. 7.3 - Prob. 3TYCh. 7.3 - Prob. 4TYCh. 7.3 - Prob. 5TYCh. 7.3 - Prob. 6TYCh. 7.3 - Explain how to find critical values for a...Ch. 7.3 - Explain how to use a t-test to test a hypothesized...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Deciding on a Distribution In Exercises 31 and 32,...Ch. 7.3 - Prob. 30ECh. 7.3 - Writing You are testing a claim and incorrectly...Ch. 7.3 - Prob. 1ACh. 7.3 - Prob. 2ACh. 7.3 - Prob. 3ACh. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - In an article in the Journal of Statistics...Ch. 7.4 - Prob. 1TYCh. 7.4 - Prob. 2TYCh. 7.4 - Explain how to determine whether a normal...Ch. 7.4 - Explain how to test a population proportion p.Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - The alternative formula is derived from the...Ch. 7.4 - Prob. 1ACh. 7.4 - Prob. 2ACh. 7.5 - Prob. 1TYCh. 7.5 - Prob. 2TYCh. 7.5 - Prob. 3TYCh. 7.5 - Prob. 4TYCh. 7.5 - Prob. 5TYCh. 7.5 - Prob. 6TYCh. 7.5 - Explain how to find critical values in a...Ch. 7.5 - Can a critical value for the chi-square test be...Ch. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - Graphical Analysis In Exercises 13 and 14, state...Ch. 7.5 - Prob. 12ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 14ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7 - Prob. 1UACh. 7 - Prob. 2UACh. 7 - Prob. 3UACh. 7 - Prob. 4UACh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.3RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.5RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.7RECh. 7 - Prob. 7.1.8RECh. 7 - Prob. 7.1.9RECh. 7 - In Exercises 710, (a) state the null and...Ch. 7 - In Exercises 11 and 12, find the P-value for the...Ch. 7 - Prob. 7.2.12RECh. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - Prob. 7.2.15RECh. 7 - In Exercises 1316, find the critical value(s) and...Ch. 7 - Prob. 7.2.17RECh. 7 - Prob. 7.2.18RECh. 7 - Prob. 7.2.19RECh. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - Prob. 7.2.26RECh. 7 - Prob. 7.2.27RECh. 7 - Prob. 7.2.28RECh. 7 - Prob. 7.3.29RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.31RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.33RECh. 7 - Prob. 7.3.34RECh. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - Prob. 7.3.39RECh. 7 - Prob. 7.3.40RECh. 7 - Prob. 7.4.41RECh. 7 - Prob. 7.4.42RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.45RECh. 7 - Prob. 7.4.46RECh. 7 - Prob. 7.5.47RECh. 7 - Prob. 7.5.48RECh. 7 - Prob. 7.5.49RECh. 7 - Prob. 7.5.50RECh. 7 - Prob. 7.5.51RECh. 7 - Prob. 7.5.52RECh. 7 - Prob. 7.5.53RECh. 7 - In Exercises 5558, test the claim about the...Ch. 7 - Prob. 7.5.55RECh. 7 - Prob. 7.5.56RECh. 7 - Prob. 7.5.57RECh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 1RSRDCh. 7 - Prob. 2RSRDCh. 7 - Prob. 3RSRDCh. 7 - Prob. 4RSRDCh. 7 - EXERCISES 1. The Minilab display below shows a...Ch. 7 - In Exercise 1, you rejected the claim that p =...Ch. 7 - Prob. 3TCh. 7 - Describe a hypothesis test for Judge Fords random...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The bad debt ratio for a financial institution is defined to be the dollar value of loans defaulted divided by the total dollar value of all loans made. Suppose that a random sample of sixty-five banks in Illinois is selected and that their bad debt ratios (recorded as a percentage) are presented in the sample. Banking officials claim that the mean bad debt ratio for all Midwestern banks is 3.5 percent and that the mean bad debt ratio for Illinois banks is higher. What is the null hypothesis? What is the t-value? bank Bad Debt Ratio 1 3.38 2 5.15 3 4.63 4 9.69 5 8.32 6 3.58 7 5.9 8 7.33 9 6.28 10 6.87 11 3.93 12 5.76 13 3.98 14 3.66 15 7.46 16 5.59 17 6.39 18 6.49 19 2.31 20 7.84 21 9.2 22 4.64 23 5.38 24 4.23 25 7.12 26 3.48 27 2.87 28 4.59 29 7.43 30 8.34 31 5.15 32 5.84 33 4.95 34 5.6 35 7.52 36 5.23 37 7.88 38 8.86 39 4.42 40 6.64 41 9.25 42 6.53 43 5.35 44 6.04 45 5.19 46 2.87 47 2.91…arrow_forwardThe researcher is interested to find out if the proportion of urban companies that adopted the new accounting standards is significantly higher than the proportion of rural companies that adopted the new accounting standards. To test the hypothesis a random sample of 90 urban and 100 rural companies is taken, with 45 urban and 35 rural companies indicating that they have adopted the new standards. The hypothesis is tested with the significance level of alpha=0.01 Find the T stat, critical value, P value, and what does it mean for the hypothesis (what can be concluded)arrow_forwardUsing the z-tables (or t-tables), determine the critical value for the two-tailed z-test with α=0.20.arrow_forward
- Find the critical value(s) and rejection region(s) for a left-tailed chi-square test with a sample size n=18 and level of significance α=0.10.arrow_forwardFind the t-value that form the boundaries of the critical region for a two-tailed test with and a sample size of 11.arrow_forwardA car manufacturer claims that less than 10% of its cars should need repairs in the first three years of their life, thewarranty period. A random sample of 50 three-year-old cars found that 8 had required attention. Does this contradictthe maker’s claim? Test the car manufacturer’s claim.a) State the hypothesis to test. [1]b) Find the critical value and the rejection region to test the hypothesis at the 10% significance level. [2]c) Calculate the value of the test statistic to test the hypothesis. [2]d) State the correct conclusion.arrow_forward
- Define the alpha level and the critical region for a hypothesis test.arrow_forwardA random sample of 170 donations at a certain blood bank reveals that 84 were Type A blood. Does this suggest that the actual percentage of Type A donations differs from 45%, of the population having Type A blood? A. State H0 and Ha B. Test the hypothesis using the P-Value approach at a significance level of 3%, and express your decision. C Based on the given data, determine the extreme value without rejecting the H0.arrow_forwardThe Web site salary.com reports that the mean salary for marketing managers is $82,000. A random sample of 36 marketing managers taken during the recession showed a mean salary of $78,000. Assume that σ = $8000. Test using level of significance α = 0.0 3 whether the population mean salary for marketing managers differs after the recession. Show all five steps (I hypothesis, II compute test statistic, III find rejection region or p value, V decision, VI conclusion)arrow_forward
- Fuel Economy A company with a large fleet of cars hopes to keep gasoline cost down and sets a goal of attaining a fleet average of greater than 26 miles per gallon. To see if their goal is being met, they check the gasoline usage of 50 company trips, finding a mean of 27.01 miles per gallon. Define the relevant parameter, state the null and alternative hypothesis, and test at the 5% significance level to see whether this sample provides evidence that the company is meeting its goal. The standard error from the randomization distribution under the null hypothesis is SE = 0.68.arrow_forward3. Hypothesis Testing: Comparing Two Population ParametersIn 1980, of 750 men 20-34 years old, 130 were found to be overweight. Whereas, in 1990, of 700 men, 20-34 years old, 160 were found to be overweight. At the 5% significance level, do the data provide sufficient evidence to conclude that, for men 20-34 years old, a higher percentage were overweight in 1990 than 10 years earlier? Conduct the test using the p-value approach.arrow_forwardA manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem. Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License