In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was 76.3. Arandom sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a 10%significance level.7883736965728171 DE Click the icon to view the upper critical values of the Student's t distribution.What are the null and alternative hypotheses for this test?O A. Ho: Hs 76.3H,: µ> 76.3O B. H,: H#76.3H;: µ = 76.3OC. Ho: H2 76.3O D. H,: H= 76.3H,: µ<76.3H,: µ+76.3For this test at the significance level a with sample mean x, hypothesized mean Ho, sample standard deviation s, and sample size n, what is the form of the decision rule?x- HoO A. Reject Ho if<-n- 1,0s/ ynx- Ho>tn -1,aO B. Reject Ho i -s/ ynx- HoOC. Reject Ho if-s/ ynx-Ho>tn- 1,a/2< -h-18/2 or reject H, ifs/ynDetermine the value(s) for -t,-1g. th-14 or ±t,-18/2 as appropriate for this test.

Name: In Izmir University of Economics, a statistics instructor is interest
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the av

Given claim is "the population mean prediction would be 76.3. Null Hypothesis: H0:μ=76.3 Alternative…

Math

Probability

In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a significance level. 78 83 73 69 65 • 72 81 71 D Click the icon to view the upper critical values of the Student's t distribution. What are the null and alternative hypotheses for this test? O B. H u76.3 H,: u= 76.3 OD. H, = 76.3 H, u476.3 O A. H us 76.3 H: u> 76.3 OC. H, u2 76.3 H: u<76.3 For this test at the significance level a with sample mean x, hypothesized mean lo. sample standard deviation s, and sample size n, what is the form of the decision rule? O A. Reject H, if s/yn OB. Reject Ho if s/ yn

In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a significance level. 78 83 73 69 65 • 72 81 71 D Click the icon to view the upper critical values of the Student's t distribution. What are the null and alternative hypotheses for this test? O B. H u76.3 H,: u= 76.3 OD. H, = 76.3 H, u476.3 O A. H us 76.3 H: u> 76.3 OC. H, u2 76.3 H: u<76.3 For this test at the significance level a with sample mean x, hypothesized mean lo. sample standard deviation s, and sample size n, what is the form of the decision rule? O A. Reject H, if s/yn OB. Reject Ho if s/ yn

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...

See similar textbooks

Similar questions

A researcher was interested in comparing the mean grade-point-average (GPA) of students at the University of Toronto Scarborough and Mississauga campuses. Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs. You can assume the data in each group follow a normal distribution. Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus different from the mean GPA of students at the Mississauga campus? A. What statistical test is most appropriate to answer this question? B. Identify the relevant assumptions and conditions. State how these have or have not been met. C. Write an appropriate null and alternative hypothesis for this question.
A professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations. She randomly divides her class into two groups of 15, gives one group instructions in text and the second group instructions with visual illustrations. The following data summarizes the scores the students received on a test given after the lab. Let the populations be normally distributed with a population standard deviation of 5.32 points for both the text and visual illustrations. Text (Group 1) Visual Illustrations (Group 2) 57.3 59 45.3 57.6 87.1 72.9 61.2 83.2 43.1 64 87.3 76.7 75.2 78.2 88.2 64.4 67.5 89 86.2 72.9 67.2 88.2 54.4 43.8 93 97.1 89.2 95.1 52 84.1 Is there evidence to suggest that a difference exists in the comprehension of the lab based on the…
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
A jar holds 25 cookies, 8 are chocolate-chip cookies, and 17 are brussel-spout-with-turnip-chips cookies. You pick 5 cookies at random. What is the probability that you get exactly 4 of the brussel-spout-with-turnip-chips cookies?
Español A r.able indicator of a baby's health is the weight gained in the fir year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 3.454 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you…
A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery tickets in the past year. Suppose that in fact (unknown to Gallup) exactly 60% of all adults bought a lottery ticket in the past year. If Gallup took many simple random samples of 1,523 people, the sample proportion who bought a ticket would vary from sample to sample. The sampling distribution would be close to normal with a mean of 0.6 and a standard deviation of___ A)0.4899 B)0.0251 C)0.00016 D)0.0126
A study found that there was 48% chance that the driver fails a breathalyzer test when it is administered on a Friday night. The test is administered to 80 drivers. What distribution that can be used to model the above situation. How many drivers do we expect to fail the test
A personnel psychologist has to decide which of three employees to place in a particular job that requires a high level of coordination. All three employees have taken tests of coordination, but each took a different test. Employee A scored 15 on a test with a mean of 10 and a standard deviation of 2; Employee B scored 350 on a test with a mean of 300 and a standard deviation of 40; and Employee C scored 108 on a test with a mean of 100 and a standard deviation of 16. (On all three tests, higher scores mean greater coordination.) Which employee has the best coordination? (hint: convert raw scores to z scores and compare) Select one: a. Employee A b. Employee B c. Employee C Clear my choice
A researcher has run an experiment on the effects of early cognitive simulation on children and their school success at age 10 years. He wants to compare his sample results to the normal distribution (z-distribution), but he is not sure whether the population distribution is normal or not. He comes to you as an expert in statistics for advice. Can he do this? Why or why not? What conditions must be met?
Give a brief example of both a theoretical distribution of data.
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…