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Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (30 pts) 4. Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand and brand B headache remedies. Twelve people were randomly selected and given an oral dosage of brand A. Another 12 were randomly selected and given an equal dosage of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The means, standard deviations, and sizes of the two samples follow. Brand A: = 21.8 min; = 8.7 min; = 12 Brand B: = 18.9 min; = 7.5 min; =12 Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately normal. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption. Also, find or estimate the Pvalue of the sample test statistic. (30 pts) 5. The mean weekly earnings of a sample of 30 construction workers was $759, with a standard deviation of $73, and the mean weekly earnings of a sample of 28 manufacturing workers was $658, with a standard deviation of $65. (30 pts) c) Construct a 80% confidence interval for the difference between the mean weekly earnings for construction workers and the mean weekly earnings for manufacturing workers. [choose appropriate value: sd = 45.60 or sp = 69.26] d) Explain what the confidence interval mean e) Is it reasonable to say that there is not a significant difference in pay between construction workers and factory workers? Carefully explain your reasoning