For each exercise, answer the following along with any additional questions. Assume group variances are equal (unless the problem is ran via statistical software). |  Provide the null and alternative hypotheses in formal and plain language for appropriate two-tailed test (viz., dependent or independent) at the 0.05 significance level  Do the math and reject/accept null at a=.05. State your critical t value.  Explain the results in plain language.  Calculate the 95% confidence interval for the difference in means and state both formally and in plain language if appropriate.

Home Harvest, a local homeless support charity in the northeastern U.S. traditionally mails donation requests to previous donors in the last five years around Thanksgiving. A board member suggests e-mail might be more efficient and cheaper but there is concern an email would be seen as less personal and accrue lower donations. Home Harvest takes a random sample of sixteen regular personal donors (viz., have donated each of the last three years). Six receive an e-mail and eleven a letter for the next Thanksgiving. Donations in dollars are as follows:

E-mail: 40, 0, 60, 40, 70, 0

Letter: 110, 550, 120, 650, 0, 100, 120, 20, 110, 110, 100

A random sample of eight drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums.

a. Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables?

b. Compute SSxx, SSyy, and SSxy.

c. Find the least squares regression line by choosing appropriate dependent and independent variables based on your answer in part a.

d. Interpret the meaning of the values of a and b calculated in part c.
e. Plot the scatter diagram and the regression line.
f. Calculate r and r2 and explain what they mean.
g. Predict the monthly auto insurance premium for a driver with 10 years of driving experience. h. Compute the standard deviation of errors.

A team of sports scientists want to know if having a dietitian as part of the staff is better at producing divisional basketball champions than current ad-libitum (as desired) nutritional practices. Of the ad-libitum, 12 were champions and 18 were non-champions. Of the dietician-tailored, 7 were champions and 8 were non-champtions. What can they conclude?

Choose the most correct answer.

Select one:

a. After performing a 2 x 2 chi square test, no significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.18, df = 1, p < .05).

b. After performing a 2 x 2 chi square test, no significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.18, df = 1, p > .05).

c. After performing a 2 x 2 chi square test, no significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.01, df = 1, p < .05).

d. After performing a 2 x 2 chi square test, a significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.01, df = 1, p < .05).

e. After performing a 2 x 2 chi square test, a significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 3.84, df = 1, p < .05).

The random sample shown below was selected from a normal distribution.

1010​,

44​,

77​,

66​,

77​,

22

Complete parts a and b.

a. Construct a

9595​%

confidence interval for the population mean

muμ.

left parenthesis nothing comma nothing right parenthesis3.113.11,8.898.89

​(Round to two decimal places as​ needed.)b. Assume that sample mean

x overbarx

and sample standard deviation

ss

remain exactly the same as those you just calculated but that are based on a sample of

nnequals=2525

observations. Repeat part a. What is the effect of increasing the sample size on the width of the confidence​ intervals?The confidence interval is

left parenthesis nothing comma nothing right parenthesisnothing,nothing.

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

Fill in the blank:

1. The _________________________ is the communication pathway between the cerebral cortex and spinal nerves.

2. All efferent and afferent information passes through _____________ (region of the white matter of the cerebral cortex.)

3. The _________________________ coordinates all movement.

4. The _________________________ is the outer meningeal lining.

5. The _________________________ is the deepest meningeal lining.

6. The _________________________ separates the two cerebral hemispheres.

7. The ________________________ separates the two cerebellar hemispheres.

8. The _________________________ separates the cerebellum from the cerebrum.

9. _________________________ is the fluid that circulates around the cerebral cortex, cerebellum, and spinal cord.

10. The _________________________ is the structure within the ventricles in which cerebrospinal fluid is created.

11. The _________________________ ventricles are found in the frontal, temporal, occipital and parietal lobes.

12.   _________________________ is an important speech/language area represented by Brodmann area 44 & 45.

13.   _________________________ is an important speech/language area represented by Brodmann area 22.

7-7

Westerville Company reported the following results from last year’s operations:

At the beginning of this year, the company has a $350,000 investment opportunity with the following cost and revenue characteristics:

The company’s minimum required rate of return is 10%.

If the company pursues the investment opportunity and otherwise performs the same as last year, what margin will it earn this year? (Round your percentage answer to 1 decimal place (i.e., 0.1234 should be entered as 12.3).)

____%

A “Remski Deck” is a deck of cards consisting of nine cards in each of 10 denominations, A, 2, 3, 4, 5, 6, 7, 8, 9 and 10. In each denomination there are three cards in each of the three suits Harps: (H), Scythes (S) and Roses (R). So there are three different 2H, three different 10S, etc. for a total of 90 cards. A “hand” of eight cards is dealt. In a hand, the order the cards are dealt do not matter, and the cards of the same denomination and suit are indistinguishable. A hand is a “pair” if there are two cards of the same denomination and none of the other cards in the hand have the same denomination as the pair or each other. A “straight” consists of 8 cards in numerical order. A “flush” consists of all 8 cards from the same suit. Answer the questions below leaving your answers as combinatorial expressions. (a) How many hands contain exactly one pair? (It does not matter if the hand is also a straight or flush). (b) How many hands are straights? (It does not matter if the hand is a flush or a pair). (c) How many hands are flushes but not straights? (The hand can contain pairs).