(a) Suppose that you would like to know if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour work day. What...

Extracted text: (a) Suppose that you would like to know if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour work day. What would you need to assume about the sample in order to use the given sample data to answer this question? (Select all that apply.) We would need to assume that the sample was randomly selected or is representative of the population of white-collar workers in the United States. We would need to assume that all observations are dependent or all observations are independent. We would need to assume that the distribution of the population of times is normal or that the sample size is large. We would need to assume that the distribution of the population of times is normal or that the sample size is small. We would need to assume that all white-collar workers were surveyed or the sample is representative of the population of white-collar workers in the United States. (b) Given that any concerns about the sample were satisfactorily addressed, carry out a test to decide if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour work day. Suppose that the sample standard deviation was s = 1.4 hours. Use a 0.05 significance level. State the appropriate null and alternative hypotheses. Ho: u < 4="" hạ:="" u=""> 4 Ho: H = 4 Hgi H> 4 Ho: H > 4 H: u < 4="" a'="" o="" ho:="" h="4" %3d="" h:="" µ="">< 4 4 h: u + 4 a find the test statistic and p-value. (round your test statistic to one decimal place and your p-value to three decimal places.) t = p-value %d 4="" 4="" h:="" u="" +="" 4="" a="" find="" the="" test="" statistic="" and="" p-value.="" (round="" your="" test="" statistic="" to="" one="" decimal="" place="" and="" your="" p-value="" to="" three="" decimal="" places.)="" t="P-value">