Are phone calls equally likely to occur any day of the week? The day of the week for each of 392 randomly selected phone calls was observed. The results are displayed in the table below. Use an αα = 0.10 significance level.

1. Complete the rest of the table by filling in the expected frequencies:

   Frequencies of Phone Calls for Each Day of the Week

   Outcome	Frequency	Expected Frequency
   Sunday	55
   Monday	54
   Tuesday	64
   Wednesday	50
   Thursday	58
   Friday	57
   Saturday	54

2. What is the correct statistical test to use?
   Select an answer Paired t-test Independence Goodness-of-Fit Homogeneity  
3. What are the null and alternative hypotheses?
   H0:H0:
   • Phone calls and days of the week are independent.
   • The distribution of phone calls is uniform over the days of the week.
   • Phone calls and days of the week are dependent.
   • The distribution of phone calls is not uniform over the days of the week.
   
   
   
   H1:H1:
   • The distribution of phone calls is uniform over the days of the week.
   • Phone calls and days of the week are dependent.
   • The distribution of phone calls is not uniform over the days of the week.
   • Phone calls and days of the week are independent.
4. The degrees of freedom =  
   
5. The test-statistic for this data =  (Please show your answer to three decimal places.)
   
6. The p-value for this sample = (Please show your answer to four decimal places.)  
   
7. The p-value is Select an answer greater than less than (or equal to)  αα  
   
8. Based on this, we should Select an answer fail to reject the null reject the null accept the null  
9. Thus, the final conclusion is...
   • There is sufficient evidence to conclude that phone calls and days of the week are dependent.
   • There is insufficient evidence to conclude that phone calls and days of the week are dependent.
   • There is insufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
   • There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
   • There is sufficient evidence to conclude that the distribution of phone calls is uniform over the days of the week.

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• Propose a life event or situation and two categorical variables for it. Complete a chi-square analysis of this event or situation and these variables, and share your results.
• Do you agree with your findings? Why or why not?
• What other factors, if any, should be considered?

3.5.12 Suppose there are two urns. Urn I contains 100 chips: 30 are labelled 1, 40 are labelled 2, and 30 are labelled 3. Urn 2 contains 100 chips: 20 are labelled 1, 50 are labelled 2, and 30 are labelled 3. A coin is tossed and if a head is observed, then a chip is randomly drawn from urn 1, otherwise a chip is randomly drawn from urn 2. The value Y on the chip is recorded. If an occurrence of a head on the coin is denoted by X = 1, a tail by X = 0, and X ∼ Bernoulli(3/4), then determine E(X | Y), E(Y | X), E(Y), and E(X)

Use technology to find the​ P-value for the hypothesis test described below.

The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean is

muμequals=16.0016.00

Mbps. The sample size is

nequals=1313

and the test statistic is

tequals=negative 1.761−1.761.

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

Performance of stock screeners. In Exercise 2.44 (p. 71) you learned that stock screeners are automated tools used by investment companies to help clients select a portfolio of stocks to invest in. The table below lists the annualized percentage return on investment (as compared to the Standard & Poor’s 500 Index) for 13 randomly selected stock screeners provided by the American Association of Individual Investors (AAII).

9.0 -.1 -1.6 14.6 16.0 7.7 19.9 9.8 3.2 24.8 17.6 10.7 9.1

a. Find a 90% confidence interval for the average annualized percentage return on investment of all stock screeners provided by AAII. Interpret the result.

b. Recall that a negative annualized return reflects a stock portfolio that performed worse than the S&P 500. On average, do the AAII stock screeners perform worse or better than the S&P 500? Explain.
c. What assumption about the distribution of the annualized percentage returns on investment is required for the inference, part b, to be valid? Is this assumption
reasonably satisfied?

Think how statistics and data analysis may be beneficial to you within your profession, job, or home?

According to CDCP, in 2010 the average height of adult women/men in the USA was 63.8 inches, with the standard deviation of 2.7 inches.

Using R and calculate the following:

1. Standardized height (z-score) of a U.S. woman who is 71 inches tall

2. Find the data for adult women/men in the country of your choice and calculate their standardized height. Explain what the findings mean.

Gender,Height (inches),Weight (lbs)
Female,67,150
Male,67,140
Female,67,100
Female,62,185
Male,66,145
Female,62,140
Male,69,183
Female,68,140
Male,71,175
Male,66,108
Female,64,123
Male,66,215
Male,62,128
Female,59,91
Male,73,198
Female,59,175
Male,67,145
Male,64,118
Male,71,150
Male,71,125
Male,69,180
Female,59,94
Male,74,160
Female,63,190
Male,65,145
Male,69,160
Female,66,130
Female,63,120
Male,65,125

Give an example question that would best be studied by a quasi experimental design. Give a brief description of an example design

Please use the skills you learned in section 9.2 for this assignment. For this activity, you will be creating a confidence interval for the average number of hours of TV watched. Last semester, my MAT 152 online students asked the question, “How many hours of screen time do you have in a typical week?” Please use the data they collected to answer the following questions. Data: 21, 2, 28, 30, 18, 21, 25, 20, 25, 14, 21, 25, 50, 39, 46, 20, 35, 45, 37, 46

What is the margin of error?

Here is the full question:

lease use the skills you learned in section 9.2 for this assignment.

For this activity, you will be creating a confidence interval for the average number of hours of TV watched. Last semester, my MAT 152 online students asked the question, “How many hours of screen time do you have in a typical week?” Please use the data they collected to answer the following questions.

Data: 21, 2, 28, 30, 18, 21, 25, 20, 25, 14, 21, 25, 50, 39, 46, 20, 35, 45, 37, 46

1. Are there any outliers in this data set?
2. What calculator test (1-PropZInt, Z-Interval, or T-Interval), Excel, or StatCrunch function will you use to find the confidence interval?
3. Why do you use this test (and not one of the other 2 tests)?
4. Using a 95% confidence level, what is the confidence interval?
5. What is the point estimate for the population mean?
6. What is the margin of error?
7. Suppose you knew the standard deviation for all Americans' screen time was 4 hours. If you wanted your results to be within a margin of error of 0.25 hours, how many people would you have to survey (use a 95% confidence level)?
8. Name at least 2 ways this data could be biased and hence the confidence interval would not be a good estimate of the population mean.

Your final write-up should number (1-8) your answers to each question as well as an explanation of how you arrived at the answers. For example, please include what calculator functions or computations you are using to arrive at the confidence interval.

For this activity, you will be creating a confidence interval for the average number of hours of TV watched. Last semester, my MAT 152 online students asked the question, “How many hours of screen time do you have in a typical week?”

Please use the data they collected to answer the following questions. Data: 21, 2, 28, 30, 18, 21, 25, 20, 25, 14, 21, 25, 50, 39, 46, 20, 35, 45, 37, 46

Name at least 2 ways this data could be biased and hence the confidence interval would not be a good estimate of the population mean. Please provide an explanation of how you arrived at the answer.

1.         Borden Road Music is producing CDs for five (5) artists, Sarah D, Tom Boy, Uber Lyft, Vinny Joe, and Wanda, and X-terra. Borden Road Music makes the following unit profits on each artist’s CD as follows

Each artist needs recording studio time and mastering studio time. There are 10,000 Minutes of available mastering time and 25,000 minutes of available recording time.

Each artists CD must be packaged after production. There is 2,000 minutes of packaging time.

Each artist will need promotion time. There are only 50,000 minutes of promotional time available.

Marketing has the following consumer behavior information:

            i.          There are already 200 copies of Uber Lyft CDs pre-ordered.

            ii.         There are already 100 copies of Vinny Joe CDs pre-ordered.

            iii.       For every 2 Sarah D CDs sold there is a Tom Boy CD sold.

As a quality control measure Wanda CDs cannot exceed half of the other CDs produced.

a.         Formulate the standard form of Borden Road Music’s linear program in the table below.

b.         Use excel to solve the linear program and attach the Solution worksheet, the Sensitivity Analysis worksheet.

c.         What happens to Borden Road’s profits if they gain 100 minutes of Mastering time?

            Profits:                                           .

d.         What happens to Borden Road’s profits if they lose 100 minutes of recording time?

            Profits:                                           .

It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.50 6.25 6.75 7.25 7.50 y 9 38 38 50 72 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?

Select one:

a. 89.9%

b. 10.1%

c. 94.8%

d. 0.3%

e. 1.0%

Packer Fan Tours is the official tour company for the Green Bay Packers of the NFL. One of the events in the package is to sponsor a reception the night before a game for fans that is attended by 5 of the players from the team. There are 53 players on the Green Bay Packers' roster of which 22 are starters. Assume that the 6 players attending the reception this week are chosen randomly. Determine the probability of the following occurring: a. None of the players at the reception are starters. b. All of the players at the reception are starters. c. Two of the players at the reception are starters. d. Four of the players at the reception are starters.

The number of initial public offerings of stock issued in a​ 10-year period and the total proceeds of these offerings​ (in millions) are shown in the table. Construct and interpret a​ 95% prediction interval for the proceeds when the number of issues is

585.

The equation of the regression line is

ModifyingAbove y with caret equals 33.634 x plus 17 comma 224.539y=33.634x+17,224.539.

Construct and interpret a​ 95% prediction interval for the proceeds when the number of issues is

585.

Select the correct choice below and fill in the answer boxes to complete your choice.

​(Round to the nearest million dollars as needed. Type your answer in standard form where​ "3.12 million" means​ 3,120,000.)

A.We can be​ 95% confident that when there are 585 issues, the proceeds will be between $____ and ​$____.

B.There is a​ 95% chance that the predicted proceeds given 585 issues is between ​$____ and ​$____.