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Essay Question:  4(a). In the following three sections, show the sampling distribution of 

Part II. Essay Questions (Show the process of your answers. Your score in this part heavily depends on your reasons. Round off your results at 4 decimal places if the results are not integer.) (89 Points total)

Refer to Exhibit 3. The appropriate null and alternative hypotheses are __________. 

Essay Question:  2. The Highway Safety Department wants to study the driving habits of individuals. A sample of 121 cars traveling on the highway revealed an average speed of 60 miles per hour with a standard deviation of 11 miles per hour. 

Exhibit 3:  The Ahmadi Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs, and their output for a day’s work has been recorded. You are given the results below. At 95% confidence, you need to conduct the ANOVA test to determine whether there is a significant difference in the mean output under the four programs.  Program A Program B Program C Program D 150 150 185 175 130 120 220 150 120 135 190 120 180 160 180 130 145 110 175 175 Part of the ANOVA table is shown below. Source of Variation Sum of Squares d.f. Mean Square Between Groups 8,750     Within Groups       Total 16,350 19  

Essay Question: 1(b). At 95% confidence, what is the margin of error for the population proportion?

In hypothesis testing if the null hypothesis is rejected,

Essay Question:  2(a). What is the standard error of the mean,

Essay Question:  4(b). What is the probability that the sample proportion of voters who will favor Michael will be between 0.7 and 0.74? 

Exhibit 2: The average price of personal computers manufactured by MNM Company is $1,200 with a standard deviation of $220. Furthermore, it is known that the computer prices manufactured by MNM are normally distributed.