b) what is the test statistic? c) What is the P-value for the test? A facwtles m
ID: 3181437 • Letter: B
Question
b) what is the test statistic? c) What is the P-value for the test? A facwtles manager at a university reads in a research report that the mean amount of time spent in the by an a is s to collect data to see the mean amount of time that college students spend in shower minutes. He decides standard deviation was 0.75 minutes. Using the is significantly different from s minutes. In a sample of 13 found the average time was 4.45 minutes and the this sample students, he signincance. Assume normalty. information, conduct the appropriate hypothesis test at the 0.01 level of a) What are the appropriate null and alternative hypotheses? O Ho: u s versus H.: u s He:R s versus H u s O He: s versus H.: s O Hot H S versus H.: S b) what is the test statistic? Give your answer to four decimal places. c) What is the P-value for the test? Give your answer to four decimal places. d) What is the appropriate conclusion? Reject the claim that the mean time is 5 minutes because the P value is larger than 0.01 O Reyect the claim that the mean time is 5 Fall to reject the claim that the mean time is 5 minutes because the P value is Fall to reject the claim that the mean time is 5 minutes because the P value is larger than 0.01Explanation / Answer
In order to conduct this hypothesis test we use t-statistics. This is because we don't have information about the population sigma and sample size id less than 30.
t = (4.45 - 5)/(0.75/sqrt(13)) = -2.6441
degrees of freedome = 13 - 1 = 12
p-value = 0.0214
As p-value is greater than the significance level of 0.01, we fail to reject the null hypothesis. (Option 4)
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