Do men and women differ, on average, in terms of the amount of television that they watch each day? A researcher conducted a hypothetical study in which he randomly selected 50 men and 50 women and recorded the number of minutes of television watched during the previous day.The researcher wanted to determine whether there is a difference in mean number of minutes of television viewing between men and women.What hypothesis testing technique should the researcher use to analyze the data? Two-sample t-test Paired t-test z-test for the population mean ANOVA
Question
Do men and women differ, on average, in terms of the amount of television that they watch each day? A researcher conducted a hypothetical study in which he randomly selected 50 men and 50 women and recorded the number of minutes of television watched during the previous day.The researcher wanted to determine whether there is a difference in mean number of minutes of television viewing between men and women.What hypothesis testing technique should the researcher use to analyze the data? Two-sample t-test Paired t-test z-test for the population mean ANOVA
Solution
The researcher should use the Two-sample t-test. This test is used to determine if two population means are equal. The two populations in this case are men and women. The variable is the number of minutes of television watched during the previous day. The two-sample t-test is appropriate because the samples from the two populations (men and women) are independent and the goal is to compare the means of these two groups.
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A study was conducted to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a random sample of 81 U.S. adults gives a mean weekly computer usage time of 8.5 hours and that from prior studies, the population standard deviation is assumed to be σ = 3.6 hours.A similar study conducted a year earlier estimated that μ, the mean number of weekly hours that U.S. adults use computers at home, was 8 hours. We would like to test (at the usual significance level of 5%) whether the current study provides significant evidence that this mean has changed since the previous year.Using a 95% confidence interval of (7.7, 9.3), which of the following is an appropriate conclusion? The current study does provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls outside the confidence interval. The current study does not provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls outside the confidence interval. The current study does provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls inside the confidence interval. The current study does not provide significant evidence that the mean number of weekly hours has changed over the past year, since 8 falls inside the confidence interval. You cannot draw a conclusion because the only way to reach a conclusion is to find the p-value of the test.
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