At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time spent watching television by women is less than the mean time spent watching television by men?

MATLAB: An Introduction with Applications
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1) 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.
Women
Men
x₁ = 12.5 x2 = 16.2
S1 = 4.0
$2 = 4.3
n₁ = 14
n2 = 17
At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time spent
watching television by women is less than the mean time spent watching television by men?
Transcribed Image Text:1) 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. Women Men x₁ = 12.5 x2 = 16.2 S1 = 4.0 $2 = 4.3 n₁ = 14 n2 = 17 At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time spent watching television by women is less than the mean time spent watching television by men?
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