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The time taken for healthy Canadian adults to complete a logic problem is believed to be Normally distributed with mean 40 seconds and standard deviation 4 seconds. It is of interest to investigate whether UBC students perform better on average than healthy adult Canadians, so the logic problem is given to a sample of 80 UBC students, and their times to solution are recorded. Part a) Which of the following is/are parameter(s) of interest with respect to the new investigation here? (Select all that apply) OA. 40 seconds B. 4 seconds C. The variance of the times for all UBC students to complete the logic problem. O D. The mean time for all UBC students to complete the logic problem. OE. The mean time for the 80 UBC students to complete the logic problem. OF. 80 G. None of the above Part b) In testing a hypothesis about a parameter of interest, what would your null hypothesis be? O The mean time taken to solve the logic problem by healthy Canadian adults is 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is greater than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is less than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is different from 40 seconds. O The mean time taken to solve the logic problem by UBC students is greater than 40 seconds. O The mean time taken to solve the logic problem by UBC students is less than 40 seconds. O The mean time taken to solve the logic problem by UBC students is different from 40 seconds. • The mean time taken to solve the logic problem by UBC students is 40 seconds. Part c) You would take the alternative hypothesis to be: one-sided, left-tailed O two-sided. O one-sided, right-tailed. Oit does not matter whether we take a one-sided or two-sided altemative.

The time taken for healthy Canadian adults to complete a logic problem is believed to be Normally distributed with mean 40 seconds and standard deviation 4 seconds. It is of interest to investigate whether UBC students perform better on average than healthy adult Canadians, so the logic problem is given to a sample of 80 UBC students, and their times to solution are recorded. Part a) Which of the following is/are parameter(s) of interest with respect to the new investigation here? (Select all that apply) OA. 40 seconds B. 4 seconds C. The variance of the times for all UBC students to complete the logic problem. O D. The mean time for all UBC students to complete the logic problem. OE. The mean time for the 80 UBC students to complete the logic problem. OF. 80 G. None of the above Part b) In testing a hypothesis about a parameter of interest, what would your null hypothesis be? O The mean time taken to solve the logic problem by healthy Canadian adults is 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is greater than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is less than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is different from 40 seconds. O The mean time taken to solve the logic problem by UBC students is greater than 40 seconds. O The mean time taken to solve the logic problem by UBC students is less than 40 seconds. O The mean time taken to solve the logic problem by UBC students is different from 40 seconds. • The mean time taken to solve the logic problem by UBC students is 40 seconds. Part c) You would take the alternative hypothesis to be: one-sided, left-tailed O two-sided. O one-sided, right-tailed. Oit does not matter whether we take a one-sided or two-sided altemative.

A First Course in Probability (10th Edition)
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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The time taken for healthy Canadian adults to complete a logic problem is believed to be Normally distributed with mean 40 seconds and standard deviation 4 seconds. It is of interest to investigate whether UBC students perform better on average than healthy adult Canadians, so the logic problem is given to a sample of 80 UBC students, and their times to solution are recorded. Part a) Which of the following is/are parameter(s) of interest with respect to the new investigation here? (Select all that apply) NA. 40 seconds O B. 4 seconds OC. The variance of the times for all UBC students to complete the logic problem. O D. The mean time for all UBC students to complete the logic problem. O E. The mean time for the 80 UBC students to complete the logic problem. OF. 80 OG. None of the above Part b) In testing a hypothesis about a parameter of interest, what would your null hypothesis be? O The mean time taken to solve the logic problem by healthy Canadian adults is 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is greater than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is less than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is different from 40 seconds. O The mean time taken to solve the logic problem by UBC students is greater than 40 seconds. O The mean time taken to solve the logic problem by UBC students is less than 40 seconds. The mean time taken to solve the logic problem by UBC students is different from 40 seconds. O The mean time taken to solve the logic problem by UBC students is 40 seconds. Part c) You would take the altemative hypothesis to be: O one-sided, left-tailed O two-sided. O one-sided, right-tailed. O it does not matter whether we take a one-sided or two-sided altemative Part d) Suppose that, based on data collected, you reject the null hypothesis. Which of the following could you conclude? O There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians. O There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is the same as the mean time for healthy adult Canadians. O There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is greater than the mean time for healthy adult Canadians. O There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is the same as the mean time for healthy adult Canadians. O There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians. O There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is greater than the mean time for healthy adult Canadians. Part e) Suppose that, based on data collected, you decide that UBC students perform better on average than healthy adult Canadians. o it is possible that you are making a Type l error. Oit is possible that you are making a Type Il error. Oit is certainly correct that UBC students perform better on average than healthy adult Canadians. O it is certainly incorrect that UBC students perform better on average than healthy adult Canadians. O there must have been a problem with the way the sample was obtained. Part f) Suppose that, based on the data collected, you obtain a P-value of 0.04. This means: O the sample of UBC students performed relatively better, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. O there is a 4% chance that UBC students perform better on average than healthy adult Canadians. there is a 4% chance that UBC students perform worse on average than healthy adult Canadians. O the probability of UBC students performing as well or better is 0.04, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. O the probability of UBC students performing as well or worse is 0.04, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. O the sample of UBC students performed relatively worse, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. Part g) Based on the P-value that was obtained, you would (Select all that apply): OA. neither reject nor accept the null hypothesis. O B. reject the null hypothesis at a = 0.1 level of significance OC. reject the null hypothesis at a = 0.05 level of significance O D. fail to reject the null hypothesis at all. O E. believe the null hypothesis is true. OF. None of the above.
Transcribed Image Text:The time taken for healthy Canadian adults to complete a logic problem is believed to be Normally distributed with mean 40 seconds and standard deviation 4 seconds. It is of interest to investigate whether UBC students perform better on average than healthy adult Canadians, so the logic problem is given to a sample of 80 UBC students, and their times to solution are recorded. Part a) Which of the following is/are parameter(s) of interest with respect to the new investigation here? (Select all that apply) NA. 40 seconds O B. 4 seconds OC. The variance of the times for all UBC students to complete the logic problem. O D. The mean time for all UBC students to complete the logic problem. O E. The mean time for the 80 UBC students to complete the logic problem. OF. 80 OG. None of the above Part b) In testing a hypothesis about a parameter of interest, what would your null hypothesis be? O The mean time taken to solve the logic problem by healthy Canadian adults is 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is greater than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is less than 40 seconds. O The mean time taken to solve the logic problem by healthy Canadian adults is different from 40 seconds. O The mean time taken to solve the logic problem by UBC students is greater than 40 seconds. O The mean time taken to solve the logic problem by UBC students is less than 40 seconds. The mean time taken to solve the logic problem by UBC students is different from 40 seconds. O The mean time taken to solve the logic problem by UBC students is 40 seconds. Part c) You would take the altemative hypothesis to be: O one-sided, left-tailed O two-sided. O one-sided, right-tailed. O it does not matter whether we take a one-sided or two-sided altemative Part d) Suppose that, based on data collected, you reject the null hypothesis. Which of the following could you conclude? O There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians. O There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is the same as the mean time for healthy adult Canadians. O There is sufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is greater than the mean time for healthy adult Canadians. O There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is the same as the mean time for healthy adult Canadians. O There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is less than the mean time for healthy adult Canadians. O There is insufficient evidence to suggest the mean time taken to solve the logic problem by UBC students is greater than the mean time for healthy adult Canadians. Part e) Suppose that, based on data collected, you decide that UBC students perform better on average than healthy adult Canadians. o it is possible that you are making a Type l error. Oit is possible that you are making a Type Il error. Oit is certainly correct that UBC students perform better on average than healthy adult Canadians. O it is certainly incorrect that UBC students perform better on average than healthy adult Canadians. O there must have been a problem with the way the sample was obtained. Part f) Suppose that, based on the data collected, you obtain a P-value of 0.04. This means: O the sample of UBC students performed relatively better, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. O there is a 4% chance that UBC students perform better on average than healthy adult Canadians. there is a 4% chance that UBC students perform worse on average than healthy adult Canadians. O the probability of UBC students performing as well or better is 0.04, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. O the probability of UBC students performing as well or worse is 0.04, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. O the sample of UBC students performed relatively worse, if indeed the true mean time taken to solve the logic problem by all UBC students is 40 seconds. Part g) Based on the P-value that was obtained, you would (Select all that apply): OA. neither reject nor accept the null hypothesis. O B. reject the null hypothesis at a = 0.1 level of significance OC. reject the null hypothesis at a = 0.05 level of significance O D. fail to reject the null hypothesis at all. O E. believe the null hypothesis is true. OF. None of the above.
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