Họ: H -2 =0A decision-makor wishes to test the null and emative hypotheses shown to the right using an alpha level equal to 0.05. The populationstandard deviations are assumed to be known uter the sample data are collected, the test statistic is computed to be z=2.43. Completeparts a through c below.a. Using the test statistic approach, what conclus ion should be reached about the null hypothesis?Determine the critical value(s) for a = 0.05. Select the corroct choice below and fill in the answer box to complete your choice.(Round to two decimal places as needed.)O A. Z=OB. 22/2=Oc. -1

Answered: Image /qna-images/answer/979f2e66-ea1d-4bb0-9f0c-e6eddd553035.jpg

Answered: A decision-makor wishes to test the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups the same? Set alpha to 0.05 1.What are the appropriate null and alternative hypothesis? 2. What is the Test statistics? 3.What is the value of the test statistic? 4. For a significance level of 0.05, what is the critical value? 5.What is the appropriate decision and conclusion?
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.34 A, with a sample standard deviation of s = 0.41 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) State the null and alternate hypotheses. H0: μ ≠ 0.8; H1: μ = 0.8H0: μ = 0.8; H1: μ ≠ 0.8 H0: p = 0.8; H1: p ≠ 0.8H0: p ≠ 0.8; H1: p = 0.8H0: p = 0.8; H1: p > 0.8H0: μ = 0.8; H1: μ > 0.8 What sampling distribution will you use? What assumptions are you making? The Student's t, since we assume that x has a normal distribution with known σ.The standard normal, since we assume that x has a normal distribution with unknown σ. The standard normal, since we assume that x has a normal distribution with known σ.The Student's t, since we assume that x has a normal distribution with unknown σ. What is the value of the…
A researcher wishes to test the claim that the average cost of tuition and fees at a four-year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at 0.05? STEP 1. State the null and alternate hypothesis. CHOOSE THE LETTER THAT CORRESPONDS TO THE CORRECT ANSWER. STEP 2. The critical value (s) is/are: z1 = z2 = (IF THERE IS ONLY ONE CRITICAL VALUE ENTER IT IN THE LEFT BOX AND ENTER N/A IN THE RIGHT BOX.) STEP 3. The test-value z0 is: z0 = (Round to two decimal places.)
A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in Region 2. The mean daily lodging cost for 41 families traveling in Region 1 is $130 with a population standard deviation of $26. The mean daily lodging cost for 41 families traveling in Region 2 is $138 with a population standard deviation of $25. At α=0.10, is there enough evidence to reject the group's claim? Complete parts (a) through (e). (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. What is the claim? A. The mean daily lodging cost in Region 1 is less than Region 2. Your answer is not correct. B. The mean daily lodging cost in Region 1 is greater than Region 2. C. The mean daily lodging costs in Region 1 and Region 2 are different. D. The mean daily lodging costs in Region 1 and Region 2 are equal. This is the correct answer. What are Upper H 0H0 and Upper H Subscript aHa? A. Upper H 0H0: mu 1μ1greater…
J 1 Consider the hypothesis statement to the right using a=0.01 and the data to the right from two independent samples. A) calcuate the appropriate test statistic and interpret the results b) calculate the p value and interpret the results
A nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.4 pounds per year. Assume the population standard deviation is 1.19 pounds. At alphaαequals=0.05, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. Upper H 0H0: muμless than or equals≤3.6 Upper H Subscript aHa: muμgreater than>3.6 B. Upper H 0H0: muμgreater than>3.6 Upper H Subscript aHa: muμless than or equals≤3.6 C. Upper H 0H0: muμnot equals≠3.4 Upper H Subscript aHa: muμequals=3.4 D. Upper H 0H0: muμgreater than>3.4 Upper H Subscript aHa: muμless than or equals≤3.4 E. Upper H 0H0: muμequals=3.6 Upper H Subscript aHa: muμnot equals≠3.6 F. Upper H 0H0: muμless than or equals≤3.4 Upper H Subscript aHa: muμgreater than>3.4 (b) Identify the standardized test statistic.…
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 44 bag sample had a mean of 428 grams. Assume the population standard deviation is known to be 26. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Step 1 of 7: State the null and alternative hypotheses Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 7: Specify if the test is one-tailed or two-tailed. Step 4 of 7: Determine the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 7: Identify the value of the level of significance. Step 6 of 7: Make the decision to reject or fail to reject the null hypothesis.
The nicotine content in cigarettes of a certain brand is normally distributed. The brand advertises that the mean nicotine content of their cigarettes is µ = 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of ?̅= 1.53 and s = 0.95. Is this evidence that the mean nicotine content is actually higher than advertised? 1. State the appropriate null and alternative hypotheses. H0: ? = 1.5 Ha: ? > 1.5 2. Should you use the z or t test? t – do not have sigma 3. Compute the test statistic to test your hypotheses. (report to 2 decimal places) ? = 1.53−1.5 0.95 √100 ⁄ = 0.32 4. Find the appropriate range of p-value for your test. P-value: a. Less than 0.005 b. Between 0.005 and 0.01 c. Between 0.01 and 0.025 d. Between 0.025 and 0.05 e. Greater than 0.05
As a bonus assignment a former student checked if your professor gave a statistically significant difference in grades between his male and female students. She based her study based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317) and her sample included nm = 485 male students and nf = 264 female students. The average grades received were ?̅ = 84.6 and ?̅ = 85.8. The population standard ?? deviation were σ m = 12.0 and σ f = 11.4. Test the hypothesis that the two groups received different grades using a 95% confidence level and using the critical value approach

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