You are planning to conduct a 2-sample t-test to determine whether the mean of one normally distributed population is statistically larger than the mean of the second normally distributed population. (In other words, H.: 41 – Hz > 0, so you will be doing a one-tailed test.) For your first sample, the sample size is 7, and you calculate the sample standard deviation to be 4.2. For the second sample, the sample size is 9, and you calculate the sample standard deviation to be 3.8. You do not know the values of either population standard deviation, but you are able to assume that the two population standard deviations are the same. You have already calculated the test statistic, and now you are ready to find the critical value. You want a confidence level of 95%, which has a significance level a = 0.05. What is the critical value for this one-tailed test? 1.746 1.761 O 1.782 1.860

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You are planning to conduct a 2-sample t-test to determine whether the mean of one normally
distributed population is statistically larger than the mean of the second normally distributed
population. (In other words, H.: 41 – H2 > 0, so you will be doing a one-tailed test.) For your
first sample, the sample size is 7, and you calculate the sample standard deviation to be 4.2. For
the second sample, the sample size is 9, and you calculate the sample standard deviation to be
3.8. You do not know the values of either population standard deviation, but you are able to
assume that the two population standard deviations are the same. You have already calculated
the test statistic, and now you are ready to find the critical value. You want a confidence level of
95%, which has a significance level a = 0.05. What is the critical value for this one-tailed test?
1.746
O 1.761
1.782
1.860
Transcribed Image Text:You are planning to conduct a 2-sample t-test to determine whether the mean of one normally distributed population is statistically larger than the mean of the second normally distributed population. (In other words, H.: 41 – H2 > 0, so you will be doing a one-tailed test.) For your first sample, the sample size is 7, and you calculate the sample standard deviation to be 4.2. For the second sample, the sample size is 9, and you calculate the sample standard deviation to be 3.8. You do not know the values of either population standard deviation, but you are able to assume that the two population standard deviations are the same. You have already calculated the test statistic, and now you are ready to find the critical value. You want a confidence level of 95%, which has a significance level a = 0.05. What is the critical value for this one-tailed test? 1.746 O 1.761 1.782 1.860
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