1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively, he guesses a mean that is less than 3 hours. The population variance is assumed to be 0.64 hour. To prove his claim, he selected a sample of 16 children from a normally distributed distribution and found a sample mean of 2.5 hours of outdoor playtime. At a=0.025, will sociologist prove his claim? Why or why not?

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Topic : HYPOTHESIS TESTING CONCERNING MEANS

SEATWORK
1. A sociologist wants to study about the average time
children play outdoors nowadays. Tentatively, he guesses a
mean that is less than 3 hours. The population variance is
assumed to be 0.64 hour. To prove his claim, he selected a
sample of 16 children from a normally distributed
distribution and found a sample mean of 2.5 hours of
outdoor playtime. At a =0.025, will sociologist prove his
claim? Why or why not?
Transcribed Image Text:SEATWORK 1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively, he guesses a mean that is less than 3 hours. The population variance is assumed to be 0.64 hour. To prove his claim, he selected a sample of 16 children from a normally distributed distribution and found a sample mean of 2.5 hours of outdoor playtime. At a =0.025, will sociologist prove his claim? Why or why not?
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