# In a test of physical fitness, agroup of men ages 65 andolder from a local retirement community weretold to do as many sit-ups as they could. It is known the population mean is 20 with a= 8. The scoresfor the men from the retirement community are given below. Use a two-tailed rejection region with atotal area of 0.05 to decide the likelihood of this sample occurring in the population102425472329183220192421282027

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Step 1

Introduction:

Denote X as the number of sit-ups that a randomly selected man aged 65 years or older can perform, in the study. The population mean of X is 20, the population standard deviation is, σ = 8.

The sample size is, n = 16.

The sample can be considered to be from the suggested population, if it has a high likelihood of occurrence; it can be determined by considering the likelihood of the sample mean, and comparing it with the two-tai...

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