9. At a certain school, 41% of the students play soccer, 30% play volleyball, and 14% play both soccer and volleyball. If a student is chosen at random, find the probability that he/she plays neither soccer nor volleyball.: *
(A) 0.71
(B) 0.57
(C) 0.43
(D) 0.413

Questions 10-12: A simple linear regression model was fit to the situation of using the number of pages in a book (in hundreds) to predict the number of typos in the book. The equation is y = 1.2 + 3.4x.

10. Interpret the slope.: *
(A) For every additional page in length, a book is expected to have an extra 3.4 typos on average.
(B) A 400-page book, on average, should have 3.4 more typos than a 300-page book.
(C) For every additional 3.4 pages in length, a book is expected to have an extra 1.2 typos on average.
(D) The slope has no practical interpretation in this context.

11. Find the predicted number of typos in a 500-page book.: *
(A) 17
(B) 18.2
(C) 171.2
(D) 1701.2

12. Explain what it would mean if an actual 500-page book had a residual of -3.2.: *
(A) This particular book is definitely an outlier and should be dropped from the model.
(B) This particular book had a predicted value smaller than its actual value.
(C) This particular book had a predicted value larger than its actual value.
(D) A mistake has been made since residuals cannot be negative.

An educator wants to determine whether early exposure to school will affect IQ. He enlists the aid of the parents of 12 pairs of preschool-age identical twins who agree to let their twins participate in his experiment. One member of each twin pair is enrolled in preschool for 2 years, while the other member of each pair remains at home. At the end of the 2 years, the IQs of all the children are measured.  

1. Research Hypothesis:
2. Null Hypothesis:
3. Statistical test to use:
4. Degrees of freedom
5. Using α = .05 significance level.

6. Critical value = ________________ Test statistic = ________________

IQ

                                    Twins at                                  Twins at

Pair                             Preschool                                Home

   1                                   120                                         114

   2                                   121                                         118

   3                                   127                                         103

   4                                   117                                         112

   5                                   115                                         117

   6                                   120                                       106

   7                                   130                                         115

   8                                   119                                         113

   9                                   121                                         109

10                                  120                                         112

11                                  117                                         116

12                                  121                                         104

Please help. Show all steps with answers and formulas used.

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1109 and a standard deviation of 196. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different scales.

If a student gets an SAT score that is the 33-percentile, find the actual SAT score.
SAT score = ?
Then Round answer to a whole number.

What would be the equivalent ACT score for this student?
ACT score = ?
Then Round answer to 1 decimal place.

If a student gets an SAT score of 1579, find the equivalent ACT score.
ACT score = ?
Then Round answer to 1 decimal place.

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 992 and a standard deviation of 201. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 5.1. It is assumed that the two tests measure the same aptitude, but use different scales.

If a student gets an SAT score that is the 67-percentile, find the actual SAT score.
SAT score =  
Round answer to a whole number.

What would be the equivalent ACT score for this student?
ACT score =  
Round answer to 1 decimal place.

If a student gets an SAT score of 1334, find the equivalent ACT score.
ACT score =  
Round answer to 1 decimal place.

Janie graduates from high school in 2017 and enrolls in college in the fall. Her parents (who file a joint return) pay $5,850 for her tuition and fees.

If required, round your computations to the nearest whole value.

a. Assuming Janie's parents have AGI of $167,800, what is the American Opportunity tax credit they can claim for Janie?
$

b. Assuming Janie's parents have AGI of $67,120, what is the American Opportunity tax credit they can claim for Janie?
$

Please show how to work the problem so I can understand how to work them myself. Thank you!

A survey of high school students revealed that the numbers of soft drinks consumed per month was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probability that the average number of soft drinks consumed per month for the sample was between 28.1 and 30 soft drinks?

Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

The following table gives the data from a local school district on children's ages (x) and the reading level (y)

a). Find the correlation coefficient (r) between age (in years) and reading level. (write your calculator steps)

b) Find the coefficient of determination (r² )

c) Find the slope of the regression line

d) Find the intercept of the regression line

e) Find the estimated equation of the regression line

f) Predict the reading level for age 10.5 years

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 33% of them plan to go into general practice. Using a 0.05 significance level, test the claim that more than 28% of the medical school’s students plan to go into general practice.

a) Write the null and alternative hypotheses.

b) Determine the P-value.

c) Should you Reject H0 or Fail to reject H0?

d) Write a sentence to state your final conclusion.

1. Yale Law School says 74% of their students pass the bar exam on their first try.

1. To simulate passing students, we could assign the random digits as:
   1. 00 to 49 = pass first try, 50 to 99 = fail first try
   2. 0 to 7 = pass first try, 8 to 9 = fail first try
   3. 00 to 73 = pass first try, 74 to 99 = fail first try
   4. 0 to 4 = pass first try, 5 to 9 = fail first try

Using the random digit assignment from part a), and starting at line 106 simulate a class of 20 students.

b) Which students was the first in the list to fail the exam?

c) What percentage of these 20 students passed on their first try?

4. How does that percentage compare to 74% we set up as our probability model? If there is a difference, why do you think that is?

Show Computaions of number.

The Alpine school district engaged in the following transactions in its fiscal year ending August 31, 2018. By law, the district is required to establish a capital projects fund to account for school construction projects and a debt service fund to account for resources legally restricted to the payment of long-term principal and related interest. • On March 1, it issued $40 million in general obligation bonds to finance the construction of a new junior high school. The bonds were to mature in 20 years (40 periods) and had a coupon rate of 4 percent per year (2 percent per semiannual period). They were sold for $38,924,728 (a discount of $1,075,272), a price that reflected an annual yield of 4.2 percent (2.1 percent per period). • On August 31 the district made its first interest payment of $800,000. • During the year the builder with whom the district contracted to construct the building completed approximately 10 percent of the building and billed the district for $4 million. • On August 31, the district issued $10 million in bond anticipation notes to finance improvements to its athletic facilities. By the time the district issued its fiscal year-end 2018 financial statements in December 2018, it still had not refinanced these notes and had not yet started construction on the facilities. • In June the district issued $2 million in tax anticipation notes. It repaid these notes in September. Interest applicable to the notes for the fiscal year ending August 31, 2018, was $25,000, all of which was paid in September when the notes matured. • In August, the district settled a lawsuit with a group of former teachers. Per a structured settlement, the district agreed to make several payments totaling $1,600,000 to the teachers. The district has a policy of recording long-term obligations at present value whenever required or permitted by GAAP. It estimates the present value of this settlement to be $1,350,000. What amount relating to these transactions should the district report in its August 31, 2018, financial statements as: 1. Interest expenditure in its debt service fund statement of revenues and expenditures? 2. Interest expense in its government-wide statement of activities? 3. Long-term debt in the capital projects fund balance sheet? 4. Current debt in the capital projects fund balance sheet? 5. Long-term debt in the debt service fund balance sheet? 6. Bonds payable (net of bond discount) in the government-wide statement of net position? 7. Other noncurrent debt in the government-wide statement of net position? 8. Invested in capital assets, in the government-wide statement of net position? 9. Current liabilities in the general-fund balance sheet? Select each response from one of the amounts that follow. An amount may be selected once, more than once, or not at all. a. $(34,942,147) b. $0 c. $25,000 d. $800,000 e. $817,419 f. $842,419 g. $1,350,000 h. $1,600,000 i. $2,000,000 j. $2,025,000 k. $10,000,000 l. $12,000,000 m. $12,025,000 n. $38,924,728 o. $38,942,147. Show Work on how to get the numbers.