State What the Given Confidence Interval Suggests About the Two

question 181

Essay

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. Use a 0.05 significance level to test the claim that the mean amount of time spent watching television by women
is smaller than the mean amount of time spent watching television by men. Use the traditional method of
hypothesis testing.

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Definitions:

Significance Level

The threshold for determining the statistical significance of an experiment or study, often denoted by alpha (α), representing the probability of rejecting the null hypothesis when it is true.

Null Hypothesis

A hypothesis that there is no significant difference or effect, serving as the default assumption to be tested against an alternative hypothesis in statistical analysis.

Population Means

The average value of a particular characteristic across the entire population studied.

F Statistic

A ratio used in an analysis of variance (ANOVA) test, indicating the variance between group means relative to the variance within the groups.