A school psychologist believes that more positive mood is associated with more creativity. Below are the data from a random sample of 4th graders. What can be concluded with α = 0.05?

a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected above:  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
effect size =  ;   ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

There is a significant positive relationship between positive mood and creativity.There is a significant negative relationship between positive mood and creativity.    There is no significant relationship between positive mood and creativity.

A neighborhood council is interested in the family income and medical care expenditures of its community. In particular, it is believed that lower income is related to more to medical care expenditures. Below are family income (per 1,000 dollars) and medical care expenditure (per 100 dollars) data from a random sample of households in the community. What can be concluded with an α of 0.05?

a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected above:  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
effect size =  ;   ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

There was a significant positive relationship between family income and medical care expenditures.There was a significant negative relationship between family income and medical care expenditures.    There was no significant relationship between family income and medical care expenditures.

Answer the correlation questions using the data below. Use α = 0.05.

a) Compute the correlation.
r =  

b) Compute the appropriate test statistic(s) for H₁: ρ > 0.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
effect size =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

There is a significant positive relationship between x and y.There is a significant negative relationship between x and y.    There is no significant relationship between x and y.

A few years​ ago, a certain company introduced a line of​ new, slick swimsuits. Some say that they gave the wearers an advantage in races. In order to test whether the suits were​ effective, suppose that there are 80 swimmers;40 of them are​ professional-level swimmers, and 40 are​ amateur-level swimmers. The designers will ask the swimmers to swim 200metres as fast as possible. It is reasonable to assume that the effects of the suits​ (due to dynamic forces of the​ water) might be different for the two levels of swimmers.

Describe a simple randomized design​ (not blocked) to test whether the slick suits decrease race times. Explain how to assign the swimmers to treatment groups. Choose the correct answer below.

A.Have each simmer wear a slick suit for a 200​-metre race. Record each​ swimmer's time. Ask each swimmer if this time decreased from his or her normal 200​-metre

time.

B.Randomly assign each swimmer to wear either a slick or a​ non-slick suit. Place in a bag 40 tickets that say​ "slick" and 40 that say​ "non-slick." Have each swimmer choose a ticket and use that type of suit in a 200​-metre race. Record each​ swimmer's time.

C.Randomly assign a type of suit to each level of swimmers. Place 2 tickets in a​ bag, one that says​ "slick" and one that says​ "non-slick." Pick one​ ticket, and assign that type of suit to the professional swimmers and the other type of suit to the amateur swimmers. Have them swim a 200​-metre race. Record each​swimmer's time.

D.Let each swimmer choose whether they want to wear a slick suit or a​ non-slick suit, and then have them swim a 200​-metre race. Record each​ swimmer's time.

A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per household in a small town.

​(a) Use the frequency distribution to construct a probability distribution. ​(b) Find the mean of the probability distribution. ​(c) Find the variance of the probability distribution.  (d) Find the standard deviation of the probability distribution. ​(e) Using the found values of the mean and the standard​ deviation, an interpretation of the results in the context of the​ real-life situation is that a household on average has _ dog with a standard deviation of _ dog.

Dogs x=0 1 2 3 4 5

Households p(x)= 1225 408 164 44 25 15

In the table below, there are test scores from a dozen students. The test was worth 200 points. The scores in the table are the # of points out of 200. Letter grades will be assigned using the standard grade boundaries given below.

You will need to create a new Excel file for this assignment.

1. Create a worksheet with the columns of student names and scores as shown above.
2. Add a column to the right of Test Score labeled “Percentage”
3. Add a column to the right of Percentage labeled “Letter grade”
4. Using absolute addressing, calculate the corresponding percentage score for each student. You must utilize absolute addressing in this formula. (hint – put the total possible score in one separate cell someplace in your worksheet and use it for the first student, then copy and paste).
5. Use the AVERAGE function to calculate the average percentage and display with a label of “Average Percentage”.
6. Use the MAX function to calculate the highest percentage score and display with a label of “Maximum Percentage.”
7. Using VLOOKUP, determine and display the letter grade for each student.

The numbers 1,6,15,20,15,6,1 are the coefficients of the binominal expansion (p+q)^6. Use the normal quantile plot method to show that these numbers are close to a normal distribution.

Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty. What can we say about the shape of the distribution of the sample mean time? What is the standard error of the mean time? (Round your answer to 2 decimal places.) What percent of the sample means will be greater than 27.25 seconds? (Round your z values and final answers to 2 decimal places.) What percent of the sample means will be greater than 24.50 seconds? (Round your z values and final answers to 2 decimal places.) What percent of the sample means will be greater than 24.50 but less than 27.25 seconds? (Round your z values and final answers to 2 decimal places.)

13) A logging truck sales representative can contact either one or two potential buyers per day with probabilities of 0.25 and 0.75, respectively. Each contact will result in either no sale or a $75,000 sale with probabilities of 0.85 and 0.15, respectively(hint: start with a tree diagram)

a) Show the probability distribution of daily sales.

b) What is the expected value of daily sales?

c) What is the standard deviation of daily sales?

Two standardized​ tests, test A and test​ B, use very different scales. Assume that in one year the distribution of scores on test A can be modeled by N(1000, 75) and scores on test B can be modeled by N(27, 4). If an applicant to a university has taken test A and scored 1220 and another student has taken test B and scored 39​, compare these​ students' scores using​ z-values. Which one has a higher relative​ score? Explain.

For 300 trading​ days, the daily closing price of a stock​ (in $) is well modeled by a Normal model with mean ​$196.38 and standard deviation $7.13.

According to this ​model, what is the probability that on a randomly selected day in this period the stock price closed as follows.

​a) above ​$203.51?

​b) below ​$210.64​?

​c) between ​$182.12 and ​$210.64?

​d) Which would be more​ unusual, a day on which the stock price closed above ​$206 or below ​$180?

IRS data indicates that the tax refunds it issued this year follow the normal distribution with μ = 1,200 and σ = 200. Based on this information calculate the following probabilities.

1. Probability of selecting a tax return, the refund for which will fall between $1,170 and $1,200:
   
   
   
2. Probability of selecting a tax return, the refund for which will be less than $1,406:
   
   
   
3. Probability of selecting a tax return, the refund for which will be more than $1,598:
   
   
   
4. Probability of selecting a tax return, the refund for which will fall between $1,132 and $1,354:

17. Why should you avoid contrasting red and green as colors on a graph for presentations?

18. Why would you use a semilogarithmic scale line graph instead of an arithmetic scale line graph?

19. Construct a pie chart using your computer. Word works very well for doing this. Use any information you like but it must contain at least 5 sections. It must be original! Do not use the example within Word (i.e. Sales) or from a website. Attach or copy and paste below.

A vehicle quality survey asked new owners a variety of questions about their recently purchased automobile. One question asked for the owner’s rating of the vehicle using categorical responses of average, outstanding, and exceptional. Another question asked for the owner’s education level with the categorical responses some high school, high school graduate, some college, and college graduate. Assume the sample data below are for  owners who had recently purchased an automobile.

a. Use a  level of significance and a test of independence to determine if a new owner's vehicle quality rating is independent of the owner's education.

Compute the value of the  test statistic (to 2 decimals).

The -value is - Select your answer -between .01 and .025between .025 and .05between .05 and .10greater than .10less than .01Item 2

What is your conclusion?

- Select your answer -Cannot concludeConcludeItem 3 that the quality rating is not independent of the education of the owner.

b. Use the overall percentage of average, outstanding, and exceptional ratings to comment upon how new owners rate the quality of their recently purchased automobiles.

New owners - Select your answer -do not appearappearItem 7 to be satisfied with the recent purchase of their automobile.   of owners rated their automobile as Outstanding or Exceptional.

A survey by KRC Research for U.S. News reported that 40% of people

     plan to spend more on eating out after they retire. Suppose a random sample of 20   

     people are selected and the process follows a binomial distribution, with p = 0.40

a. What is the expected value and standard deviation of the people in the sample who

      plan to spend more on eating out after they retire.

b. What is the probability that 8 or fewer in the sample indicate that they plan to spend

      more on eating out after retirement?

c. What is the probability that at least 9 people (i.e. 9 or more) in the sample indicate

      that they plan to spend more on eating out after retirement?