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State what the given confidence interval suggests about the two population means

ID: 3216917 • Letter: S

Question

State what the given confidence interval suggests about the two population means. A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows. The following 99% confidence interval was obtained for mu1 - mu2, the difference between the mean amount of time spent watching television for women and the mean amount of time spent watching television for men: -5.73 hrs

Explanation / Answer

Interpretations:
1) We are 99% sure that the interval [-5.73 , 4.13 ] contains the difference between
true population mean U1 - U2
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 99% of these intervals will contains the difference between
true population mean U1 - U2
3) Since this Cl does contain a zero we can conclude at 0.01 true mean
difference is zero      

[ASNWER]

The confidence interval limits include O which suggests that the two population means might
be equal. There does not appear to be a significant difference between the mean amount of
time spent watching television for women and the mean amount of time spent watching
television for men.

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