This Question: 1 pt 7015(0 complete) This Quiz: 15 pts possible Question Help *

Question

This Question: 1 pt 7015(0 complete) This Quiz: 15 pts possible Question Help * A random sample of 20 independent female college-aged dancers was obtained, and their heights (in inches) were measured. Assume the population distribution is Normal. a. What is the sample mean? Is it above or below 64.5 inches? b. Some people claim that the physical demands on dancers are such that dancers tend to be shorter than the typical person in the population. Test the hypothesis that dancers have a smaller population mean height than 64.5 inches. Use a significance level of 0.05 Click the icon to view the data table. a, The mean is inches, which is Type an integer or a decimal. Do not round.) b. Determine the null and alternative hypotheses. Choose the correct answer below OA Ho 64.5 | 64 .5 inches. B. Ho: -64.5 Ha : >645 Ha :64.5 Ho: . 64.5 Ha :

Explanation / Answer

In the absense of data, lets assume mean = 63 and std. dev. = 5.4
Note : The above value are hypothetical. Please provide the actual data if you want it to be solved again.

Below are the null and alternate hypothesis
H0: mu = 64.5
H1: mu < 64.5

Option (D)

Test statistics, t = (63 - 64.5)/(5.4/sqrt(20)) = -1.2423

p-value = 0.1146

Since the p-value is greater than the significance level. Fail to reject H0. There is not sufficient evidence to conclude that the population mean is less than 64.5 inches at a significance level of 0.05.

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