Question

The sponsors of television shows targeted at the market of 5- to 8-year olds want to test the hypothesis that children watch television at most 20 hours per week. The population of viewing hours per week is known to be normally distributed. A market research firm conducted a study of children in this age group and found the summary statistics here for their weekly hours of television viewing. Conduct an appropriate hypothesis test. Find the t-statistic and the appropriate conclusion at the 0.01 level of significance.

mean	21.763
Standard Error	1.037
Median	18.5
Mode	#N/A
Standard Deviation	6.8
Sample Variance	46.24
Range	25
Minimum	4
Maximum	29
Sum	935.8
Count	43

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Group of answer choices

t = 1.7001 ; reject the null hypothesis

t = 1.7001 ; fail to reject the null hypothesis

t = 2.0751 ; fail to reject the null hypothesis

t = 2.0751 ; reject the null hypothesis

Answer 1

Solution: Here we have to find t test statistics as below now formula for this is

Where mu = 20

x bar = 21.763

n = 43

s = 6.8

put all the value in the above formula we get

t = 1.7001

now table value for this is

t table = 2.4163

here t < t table

therefore we failto reject H0

hence answer for this is

Ans: t = 1.7001 ; fail to reject the null hypothesis

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