You decide to test this claim and find that in a random sample of 30 people who exercise at the gym, the mean age is 46.4 years with a standard deviation of 5 years. Test the claim at the 0.10 significance level.
Hypothesis Test for a Population Mean A researcher claims that the mean age of people who exercise in a local gym during the weekends is greater than 45 years. You decide to test this claim and find that in a random sample of 30 people who exercise at the gym, the mean age is 46.4 years with a standard deviation of 5 years. Test the claim at the 0.10 significance level. The null and alternative hypothesis would be:
H0:p≤11.25
H1:p>11.25
H0:μ=45
H1:μ≠45
H0:μ≤45
H1:μ>45
H0:μ≥45
H1:μ<45
H0:p=11.25
H1:p≠11.25
H0:p≥11.25
H1:p<11.25
The test is
right-tailed
left-tailed
two-tailed
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis
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