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Hypothesis Testing and regression analysis questions

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Please help with the given statistics assignment:

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This solution gives detailed steps on solving some hypothesis testing and regression analysis questions. All the formula and calculations are shown and explained. Software outputs are given for some of the questions.

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** Please see the attached file for the complete solution response **

Section 10
1At α = 0.05 and 0.10, test the hypothesis that the proportion of Consumer (CON) industry companies winter quarter profit growth is more than 2% greater than the proportion of Banking (BKG) companies winter quarter profit growth, given that p CON=.20, p BKG=.14, nCON = 350, nBKG=400.

2. The mid-distance running coach, Zdravko Popovich, for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes). After six months of training under coach Popovich, the same five runners' 1500 meter run time was recorded again the results are given below.
(please see the attached file)

At an alpha level of .01, can we conclude that there has been a significant decrease in the mean time per mile? Show calculations too.

3. Test H0: μ1 ≤ μ2; H1: μ1 > μ2 at α = 0.05, when 1 = 75, 2 = 72, s1 = 3.3, s2 = 2.1, n1= 6, n2= 6. Assume equal variances. Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed ...

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