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11:06 VPN V 561 12 Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 18 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 20 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States? Test at a 1% significance level. NOTE: If you are using a Student's t- distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) c) In words, state what your random variable d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) f) What is the p-value? ( Round your answer to four decimal places.) Explain what the p-value means for this problem. g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p- value. h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. i) Explain how you determined which distribution to use. ||| =

11:06 VPN V 561 12 Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 18 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 20 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States? Test at a 1% significance level. NOTE: If you are using a Student's t- distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) c) In words, state what your random variable d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) f) What is the p-value? ( Round your answer to four decimal places.) Explain what the p-value means for this problem. g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p- value. h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. i) Explain how you determined which distribution to use. ||| =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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11:06 VPN V 561 12 Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 18 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 20 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States? Test at a 1% significance level. NOTE: If you are using a Student's t- distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) c) In words, state what your random variable d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) f) What is the p-value? ( Round your answer to four decimal places.) Explain what the p-value means for this problem. g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p- value. h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. i) Explain how you determined which distribution to use. ||| =
Transcribed Image Text:11:06 VPN V 561 12 Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 18 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 20 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States? Test at a 1% significance level. NOTE: If you are using a Student's t- distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) c) In words, state what your random variable d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) f) What is the p-value? ( Round your answer to four decimal places.) Explain what the p-value means for this problem. g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p- value. h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. i) Explain how you determined which distribution to use. ||| =
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