HW Score: 16.259 40f 4 (3 complete) Score: 0 of 1 pt Ques X9.1.17-T The owner of
ID: 3321879 • Letter: H
Question
HW Score: 16.259 40f 4 (3 complete) Score: 0 of 1 pt Ques X9.1.17-T The owner of a health club franchise believes that the average age of the club's members is under 35 years. To test this, a random sample of 30 members was selected. The accompanying sample data are the ages of the sampled individuals Click the icon to view the data table. a. State the appropriate nul and alternative hypotheses b. Use the test statistic approach to test the null hypothesis with = 0.01 a. State the appropriate nul and alternative hypotheses. Choose the correct answer below. HA: 35 HA: #35 HA: = 35 HA:35 b. Determine the critical value(s) for = 0.01 Ages of members (Round to two decimal places as needed. Use a comma to separate answers as needed.) 31 15 18 21 60 31 26 53 64 20 50 23 36 15 28 21 18 19 27 Print DoneExplanation / Answer
Below are the null and alternate hypothesis
H0: mu >= 35
H1: mu < 35
Option C
b)
This is left tailed test.
Critical value = -2.3263
From the given data
mean = 33.7
std. dev. = 14.93575129
Test statistics, z = (33.7 - 35)/(14.9358/sqrt(30)) = -0.4767
Fail to reject the null hypothesis
not significant evidence to conclude that average age is less than 35
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