Researchers are comparing the average daily screen time (in minutes) for individuals in three different income groups. Independent random samples of 66 individuals were taken from each group. The calculated test statistic is F=18.56F=18.56 for testing whether the mean daily screen time differs across the income groups. Assume normality of the populations and equal population variances. With a significance level of α=0.05α=0.05, interpret the results of the hypothesis test.

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Problem 22Multiple Choice

Researchers are comparing the average daily screen time (in minutes) for individuals in three different income groups. Independent random samples of $6$ individuals were taken from each group. The calculated test statistic is $F equals 18.56$ for testing whether the mean daily screen time differs across the income groups. Assume normality of the populations and equal population variances. With a significance level of $alpha equals 0.05$ , interpret the results of the hypothesis test.

There is no evidence to suggest a difference in mean daily screen time across income groups

The mean daily screen time is the same for all income groups

The mean daily screen time differs significantly among the income groups

The test statistic does not provide enough evidence to make a conclusion

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