Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 15, Problem 43CR
To determine
Check whether the population mean score is not same for the three types of students.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In a study designed to test the effectiveness of hypnosis in reducing pain a research team looked at responses from 8 randomly selected patients before and after hypnosis. The raw data are found in Table 1. Let ? = 0.01
Table 1: Perceived pain levels pre and post hypnosis for 8 subjects
Pre
9.6
11.3
10.6
8.5
9.8
12.8
10.8
12.2
Post
9.3
11.0
8.5
10.0
10.2
9.4
8.9
11.5
Diff
-0.3
-0.3
-2.1
1.5
0.4
-3.4
-1.9
-0.7
E) The point estimate for the true standard deviation of the effect that hypnosis has on pain perception is: Note: round your answer to 3 decimal precision
G) The test statistic for this data set is: Note: Round your answer to the nearest hundredth.
In comparing the academic performance of college students who are affiliated with fraternities and those male students who are unaffiliated, a random sample of students was drawn from each of the two populations on a university campus. Summary statistics on the student GWAs are given below.
n
x
s
Fraternity
645
2.90
0.47
Unaffiliated
450
2.88
0.42
Test, at the 1% level of significance, whether the data provide sufficient evidence to conclude that there is a difference in average GWA between the population of fraternity students and the population of unaffiliated male students on this university campus.
1. State the hypotheses.
2. Give the critical value and region of rejection.
3. Compute for the standard error of the difference between two means.
4. Compute for the test statistic. Give the probability of the calculated test statistic.
5. Interpret result using both p-value and critical region of rejection.
6. State your conclusion.
7. Construct…
In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected.
Light
Heavy
Nonbrowser
Browser
Browser
10
9
7
11
10
9
12
9
7
9
8
9
9
11
6
10
8
8
11
10
7
10
9
9
. Use to test for a difference among mean comfort scores for the three types of browsers.
Compute the values identified below (to 2 decimals, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean Squares, Treatment
Mean Squares, Error
Calculate the value of the test statistic (to 2 decimals, if necessary).
The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6
What is your…
Chapter 15 Solutions
Introduction To Statistics And Data Analysis
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Prob. 2ECh. 15.1 - Employees of a state university system can choose...Ch. 15.1 - The accompanying summary statistics for a measure...Ch. 15.1 - The authors of the paper Age and Violent Content...Ch. 15.1 - The paper referenced in the previous exercise also...Ch. 15.1 - Do people feel hungrier after sampling a healthy...Ch. 15.1 - Prob. 8ECh. 15.1 - The Paper Womens and Mens Eating Behavior...Ch. 15.1 - Can use of an online plagiarism-detection system...
Ch. 15.1 - Prob. 11ECh. 15.1 - In the introduction to this chapter, we considered...Ch. 15.1 - In an experiment to investigate the performance of...Ch. 15.2 - Leaf surface area is an important variable in...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - The paper referenced in Exercise 15.5 described an...Ch. 15.2 - Prob. 19ECh. 15.2 - The accompanying data resulted from a flammability...Ch. 15.2 - Do lizards play a role in spreading plant seeds?...Ch. 15.2 - Samples of six different brands of diet or...Ch. 15.3 - A particular county employs three assessors who...Ch. 15.3 - The accompanying display is a partially completed...Ch. 15.3 - With the use of biofuels increasing, investigators...Ch. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - The paper Feedback Enhances the Positive Effects...Ch. 15.4 - The following graphs appear in the paper Which...Ch. 15.4 - The behavior of undergraduate students when...Ch. 15.4 - Prob. 33ECh. 15.4 - The following partially completed ANOVA table...Ch. 15.4 - Prob. 35ECh. 15.4 - The accompanying ANOVA table is similar to one...Ch. 15.4 - Identification of sex in human skeletons is an...Ch. 15 - Suppose that a random sample or size n = 5 was...Ch. 15 - Parents are frequently concerned when their child...Ch. 15 - Prob. 40CRCh. 15 - Consider the accompanying data on plant growth...Ch. 15 - Prob. 42CRCh. 15 - Prob. 43CRCh. 15 - Prob. 44CRCh. 15 - Prob. 45CRCh. 15 - Prob. 46CRCh. 15 - Prob. 47CRCh. 15 - Prob. 48CRCh. 15 - Prob. 49CR
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
- A cross-sectional study is conducted to investigate cardiovascular disease (CVD) risk factors among a sample of patients seeking medical care at one of three local hospitals. A total of 500500 patients are enrolled. Based on the following data, we would like to determine if there is a significant association between the family history of CVD and the enrollment site. Enrollment Site Family History of CVD Hospital 1 Hospital 2 Hospital 3 Total Yes 34 8 58 100 No 104 72 224 400 Total 138 80 282 500 Given: The value of the test statistic is χ2= 6.912 Use α=0.1 as the level of significance. The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 15% of the patients go to Hospital 2 and 60% of the patients go to Hospital 3. Given: The superintendent found that the pp-value for the test is 0.25091 Let: p1=p1= be the proportion of patients at Hospital 1 p2=p2= be the proportion of patients at…arrow_forwardThe article ``Work-Related Attitudes" (Psychological Reports, 1991:443-450) reports the results of a survey of 395 elementary school teachers and 266 high school teachers. Of the elementary school teachers, 224 said they were very satisfied with their jobs, whereas 126 of the high school high school teachers were very satisfied with their jobs. Consider the elementary school teachers and the high school teachers that were interviewed as two independent groups. Test the claim that the proportion of elementary teachers who are satisfied (p1) is LARGER THAN the proportion of high school teachers who are satisfied (p2), using α=0.05.arrow_forwardBased on a survey of a random sample of 900 adults in the United States, a journalist reports that A random sample of 100 movie goers was asked to state his or her gender and favorite soft drink available at the local movie theater. The results appear in the table below. Is there a relationship between gender and soft drink preference? Coke Diet Coke Sprite Male 23 11 12 Female 16 28 10 To analyze the results, which of the following tests is most appropriate? A)Chi-square test of independence B)Chi-square test of homogeneity C)Two sample t-test D)Matched pair t-test E)Chi-square goodness of fitarrow_forward
- In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Heavy Nonbrowser Browser Browser 10 9 8 11 10 10 12 9 8 9 8 10 9 11 7 10 8 9 11 10 8 10 9 10 Use a=0.05 to test for a difference among mean comfort scores for the three types of browsers. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals, if necessary). The -value is - Select your answer -less than .01between…arrow_forwardThree samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions: Is mean burst strength affected by temperature and/or by pipe type? Is there a “best” brand of PVC pipe? Burst Strength of PVC Pipes (psi) Temperature PVC1 PVC2 PVC3 Hot (70º C) 247 299 239 277 287 262 283 275 279 Warm (40º C) 325 341 297 322 319 315 296 335 304 Cool (10º C) 358 375 327 366 352 334 338 359 340 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses. a. H0: A1 ≠ A2 ≠ A3 ≠ 0 ⇐⇐ Temperature means differ H1: All the Aj are equal to zero ⇐⇐ Temperature means are the same b. H0: A1 = A2 = A3 = 0 ⇐⇐ Temperature means are the same H1: Not all the Aj are equal to zero ⇐⇐ Temperature means differ a b (a-2) Choose the correct column-effect hypotheses. a. H0: B1 ≠ B2 ≠ B3 ≠ 0 ⇐⇐…arrow_forwardA random sample of 3586 students from various areas is taken to compare their performance in Biology, based on the final exam mark (low: below 40%, medium: between 40% and 60%, high: above 60%), in relation to the amount of private tutoring they receive. The results are summarized in the table below Performance in Biology Tutoring Low Medium High Total No tutoring 46 (11%) 168 (41%) 196 (48%) 410 (100%) Some tutoring 100(5%) 572 (31%) 1148 (63%) 1820 (100%) Frequent tutoring 32 (2%) 248 (18%) 1076 (79%) 1356 (100%) Total 178(5%) 988 (28%) 2420 (67%) 3586 (100%) Based on the data in the table, and without doing a significance test, how would you describe the relationship between receiving private tutoring and performance in Biology? Calculate the Chi-Square statistic and use it to test for independence, using a 10% significance level. What do you conclude? Would you conclude that…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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