Use Minitab to answer the questions. Make sure to copy all output from the Minitab:

Followings Tables shows previous 11 months stock market returns.

Date	Monthly SP500 Return	Monthly DJIA Return
12/7/2007	-0.8628	-0.7994
1/8/2008	-6.1163	-4.6323
2/8/2008	-3.4761	-3.0352
3/8/2008	-0.5960	-0.0285
4/8/2008	4.7547	4.5441
5/8/2008	1.0674	-1.4182
6/8/2008	-8.5962	-10.1937
7/8/2008	-0.9859	0.2468
8/8/2008	1.2191	1.4548
9/8/2008	-9.2054	-6.0024
10/8/2008	-16.8269	-4.8410

1. Let consider we know the variance of monthly return for all stock were 25 percent in 2008, perform the following hypothesis for each index:

Ho :  µ = -5

Ha :  µ ≠ -5

2. Considering the population variance is unknown, perform a hypothesis test if the average stock return is 0 or not for each index:

Ho :  µ = 0

Ha :   µ ≠  0

3. Perform following hypothesis based on all assumption we had in 2)

Ho :  µ ≥ -3

Ha :   µ <  -3

4. Let’s consider the population mean of SP500 as µ1 and that of DJIA as µ2 while none of population variance is known. Test following hypothesis:

  Ho : µ1  =  µ2

Ha :   µ1 ≠  µ2

5. Let’s consider the population variance of SP500 as σ²₁and that of DJIA as σ²₂, and none of them are known. Test following hypothesis:

  Ho :  σ²₁  =  σ²₂

  Ha :  σ²₁≠  σ²₂

6. Perform the following hypothesis test

  Ho :  σ²₁  ≤  σ²₂

  Ha :  σ²₁>  σ²₂

a busy social life has been found to increase happiness in participants who are experincing low levels of stress, but decrease happoiness in participants who are experiencing high levels of stress .what is this an example of? a)moderation b)mediation c)neither moderation nor mediation d)semi partial correlation

2)what is the sobel test used for? A) To acssess the significant of the direct effect in moderation analysis .B) To assess the significant in mediation. C) to assess the significant of the interaction effect in moderation analysis. D)to assess the significant of he indiect effect in mediation analysis

Queueing Theory

apply elementary queueing theory equations to compute statistics for the various scheduling systems

assume exponential inter-arrival and service time distributions

At the South Loop Oil 'n Lube, a new customer arrives for an oil change every 20 minutes, and is annoyed to find, on average, 3 customers ahead of him (including the one being serviced).

How much longer, typically, will it take for the current customer to finish his oil change?

After that, how much longer will the new customer have to wait to complete his own oil change?

1. The Gallup Poll asked a probability sample of 2500 U.S. adults whether they used a credit card to pay for groceries that week. Suppose that 25% of the adult population did. We would like to know the probability that an SRS of size 2500 would come within plus or minus 2 percentage points of this true value.
   1. If p-hat is the proportion of the sample who did use a credit card to pay for groceries, what is the mean of p-hat? (2 points)
      
      
   2. What is the standard deviation of p-hat? (2 points)
      
      
   3. Explain why you can use the formula for the standard deviation of p-hat in this setting.(check that the population is at least 10 times larger than the sample) (2 points)
      
   4. Check that you can use the normal approximation for the distribution of p-hat.(2 points)
      
      
   5. Find the probability that p-hat takes a value between 0.23 and 0.27. (4 points)

The daily intake of calcium was measured (in milligrams) from a random sample of 16 women between the ages of 20 and 29. The sample mean and sample standard deviation of the observed data were calculated to be 866.8 and 255.5, respectively. (4 decimals places)

1. Conduct a 95% confidence interval for the population mean daily intake of calcium. State the lower bound.

2. Conduct a 95% confidence interval for the population mean daily intake of calcium. State the upper bound.

3. What is the margin of error for the above confidence interval

Example Problem: [Ch 9, Q36] Consider the following hypothesis test: ?0: ? ≥ 0.75; ??: ? < 0.75. A sample of 300 items was selected. Using ? = 0.05, conduct a hypothesis test and state your conclusions for the following scenarios: ?̅ = 0.68; ?̅ = 0.72; ?̅ = 0.70; ?̅ = 0.77.

Bob Michels owns a business in an emerging agricultural market, medicinal cannabis. He is interested in running a regression analysis with fertilizer potency as the dependent variable and manufacturing process temperature as the predictor variable. After taking a sample of 25 batches and recording these two variables, Bob developed the following results:

Potency = -8.78 + .48897 TEMP

(.0792)

S_e = 3.473 SS(total)= 737.73

Potency is the percent of maximum fertilizer potency

Temp is the temperature in degrees in Fahrenheit.

Interpret the regression coefficient.

Test whether ther is a positive linear relationship between potency and Temp. Use alpha = .05

Develop the Mission ANOVA table

It is known that 5% of all laptops from a certain manufacturer have a certain defect.A random sample of 20 laptops from this manufacturer is selected.a)What is the probability that no laptops in the sample have defect?.b)What is the probabilty that exactly two laptops in the sample have defect?.c)What is the probabilty that atmost 2 laptops in the sample have the defect?.Let X denote the number of defective laptops in a sample .what is the expected value of X , E[X]?.and Laptops from this manufacturer are sold in batches of 12 and a batch is deemed to be unsatisfactory if it contains 2 or more laptops with defect.If 5 batches are selected at random ,what is the probability that at least 2 of them are deemed unsatisfactory?

1. Dr Tiago wants to estimate the mean gpa of all incoming freshman. The mean gpa of random sample of 25 freshman is 3 with a standard deviation of 0.72. Assuming that the Gpa of all incoming freshman is normally distributed construct a 95% confidence interval for the population mean u

2. If a random sample of size 25 gives the average of 37.87 and sd of 8 calculate the test static to the test the hypothesis that average hdl-cholesterol level among the adult population of a city is atleat 39.63

Education. Post-secondary educational institutions in the United States (trade schools, colleges, universities, etc.) traditionally offer four different types of degrees or certificates. The U.S. Department of Education recorded the highest degree granted by each of these institutions in the year 2003. The percentages are shown in the table below. A random sample of 300 institutions was taken in 2013 and the number of institutions in the sample for each category is also shown in the table. Conduct a hypothesis test to determine whether there has been any change from the percentages reported in 2003. Round all calculated values to four decimal places.

Highest Degree Awarded	Population percentages in 2003	Sample counts in 2013
Certificate	35.0%	107
Associates	26.6%	72
Bachelor's	11.3%	37
Graduate	27.1%	84

a. Enter the expected values for the hypothesis test in the table below.

Highest Degree Awarded	Expected value
Certificate
Associates
Bachelor's
Graduate

b. Calculate the test statistic for this hypothesis test.  ? z t X^2 F  =

c. Calculate the degrees of freedom for this hypothesis test.

d. Calculate the p-value for this hypothesis test. p-value =

e. What is your conclusion using αα = 0.01?

A. Reject H0H0
B. Do not reject H0H0

A card is drawn from a standard deck of 52 cards. Find the probability that the card is a

-    not a face card       - diamond or Jack       -    face card and spade       - face card or a club

a. None of these b. 3/52 c. 13/52 d. 40/52 e. 16/52 f. 22/52

Search the Internet and/or the University Library using a phrase such as, "companies that use data analysis." If you choose to utilize the University Library, use the following steps: Click on University Library. Click on the Research Guides tab. Click on Business. Enter a phrase like "companies that use data analysis" in the Enter Search Terms field. Evaluate data analysis and data analytics in a minimum of 700 words, and include the following: Identify two or more organizations that utilize data analysis and data analytics. Identify one or more examples of information being collected and analyzed by the organizations. Assess the importance of data analysis on the successful operation of the organizations. Describe how effective application of data science has grown revenues, increased profits, or led to other positive outcomes for at least one of the organizations.

A bridge on a small, rural road is designed to hold 10 cars when it is full and its maximum continuous weight that the bridge is designed to hold is 39,000 pounds. Assume that the average American car weighs 3750 pounds and that American cars' weights have a standard deviation of 200 pounds. If the bridge is fully loaded with 10 cars, what is the probability that it will be overloaded? Hint: Think about what the bridge designer thought the average weight of car that the bridge would hold would be and remember to draw a picture of the distribution to determine how you are treating the probability!

Do you think that the bridge in the previous question is safe to use? Why or why not?

A study of college football games shows that the number of holding penalties assessed has a mean of 2.2 penalties per game and a standard deviation of 0.8 penalties per game. What is the probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2.35 penalties per game or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

10.21 How do ratings of TV and phone services compare? File Telecom contains a rating of 13 different providers. a. At the 0.05 level of significance, is there evidence of a difference in the mean service rating between TV and phone services?

b. What assumption is necessary about the population distribution in order to perform this test?

c. Use a graphical method (show distribution, rejection and acceptance regions) to evaluate the validity of the assumption in (a).

d. Construct and interpret a 95% confidence interval estimate of the difference in the mean service rating between TV and phone services.

Provider	TV	Internet
Verizon FIOS	71	71
AT&T U-verse	70	69
Cox Communicaitons	61	62
SuddenLink	63	66
Optimum	66	68
Comcast Xfinity	58	60
TimeWarner	60	62
Mediacom	56	58
Spectrum	63	65
Frontier Communications	60	56