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1.According to a survey, Bangladeshi youth watched television each weekday for an average of 145 minutes in 2015.Suppose that this result is true for 2015 population of all young adults. A recent sample of 120 young adults showed that they watch television each weekday for an average of 152 minutes.Assume that population standard deviation for times spent watching television each weekday by Bangladeshi youth is 32 minutes. It has been claimed that Bangladeshi young adults are spending more time watching television.Test this claim using 5% level of significance.What is the p-value?

2.A random sample of 802 supermarket shoppers determined that 375 super market shoppers preferred generic-brand items.Test at the 10% level that at least one half of all shoppers preferred generic brand items.

3.For a random sample of 125 entrepreneurs, the mean number of job changes was 1.90 and the sample standard deviation was 1.30. For an independent sample of 84 corporate managers, the mean number of job changes was 0.20 and the sample standard deviation was 0.51. Test the null hypothesis that the population means are equal against the alternative that the mean number of job changes is higher for entrepreneurs than for corporate managers. Population standard deviation is unknown but assumed to be equal. What is the smallest level of significance at which the null hypothesis can be rejected?

4.The owner of summer camp wants to test the effectiveness of two brands of mosquito repellents.Ten guests at the camp agreed to participate in the experiment.For each participant, Neam Brand is randomly applied on one arm and Brand Kill-all is applied randomly to the other arm.At the end of first day, the number of bites on each arm was counted.The table below shows number of bites on the arm with brand Neam and the number of bites on the arm with brand Kill-all.

Guest

12345678910

Neam

112217359272330520

Kill-all

920202872021153216

Test the hypothesis that the mean number of bites on the arm with brand Neam is different from that of brand Kill-all.

5.Describe briefly with example what is Type I and Type II error.Why is it important to be cognizant of these errors while testing hypothesis about population parameters.

6.A random sample of 1,556 people in country A were asked to respond to this statement: Increased world trade can increase our per capita prosperity.Of these sample members, 38.4 percent agreed with the statement.When the same statement was presented to a random sample of 1,108 people in country B, 52.0 percent agreed. Test the hypothesis that a higher proportion of respondents in Country B agreed.