Salaries for teachers in a particular elementary school district are normally distributed with a mean of $42,000 and a standard deviation of $5,700. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)

(a) Find the 90^th percentile for an individual teacher's salary.
$ =

(b) Find the 90^th percentile for the average teacher's salary.
$ =

The researcher from the Annenberg School of Communications is interested in studying the factors that influence how much time people spend talking on their smartphones. She believes that gender might be one factor that influences phone conversation time. She specifically hypothesizes that women and men spend different amounts of time talking on their phones. The researcher conducts a new study and obtains data from a random sample of adults from two groups identified as women and men. She finds that the average daily phone talking time among 15 women in her sample is 42 minutes (with a standard deviation of 6). The average daily minutes spent talking on the phone among 17 men in her sample is 38 (with a standard deviation of 5). She selects a 95% confidence level as appropriate to test the null hypothesis.

What decision should the researcher make about the null hypothesis? Be sure to explain your answer

Please interpret the research findings, making sure to reference:

- whether the relationship is statistically significant

- whether we can say there is an association between the independent and dependent variable in the population

Would our decision about the null hypothesis have been different if the researcher had initially hypothesized that women spend more time talking on their phones than men?

Explain all parts/information necessary to answer this question.

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1488 and a standard deviation of 292. The local college includes a minimum score of 2014 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 2014) =________ % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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 1011 and a standard deviation of 198. Scores on the ACT test are normally distributed with a mean of 21.5 and a standard deviation of 3.8. 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 49-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 1367, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 46 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 46 and 67?


ans = __________%

Two basketball players on a school team are working hard on consistency of their performance. In particular, they are hoping to bring down the variance of their scores. The coach believes that the players are not equally consistent in their games. Over a 10-game period, the scores of these two players are shown below. Assume that the two samples are drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: chi-square table or F table)

Click here for the Excel Data File

a. Select the hypotheses to test whether the players differ in consistency.

• H₀: σ₂² / σ₁² = 1, H_A: σ₂² / σ₁² ≠ 1.

• H₀: σ₂² / σ₁² ≥ 1, H_A: σ₂² / σ₁² < 1.

• H₀: σ₂² / σ₁² ≤ 1, H_A: σ₂² / σ₁² > 1.

b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

c-1. Find the p-value.

• p-value 0.10
• 0.05 p-value < 0.10
• 0.02 p-value < 0.05
• 0.01 p-value < 0.02

• p-value < 0.01

c-2. At α = 0.05, what is your conclusion?

• Do not reject H₀; we can say that consistency differs between the players

• Reject H₀; we cannot say that the consistency differs between the players

• Reject H₀; we can say that consistency differs between the players

• Do not reject H₀; we cannot say that consistency differs between the players

At the beginning of the school year, Katherine Malloy decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget: Cash balance, September 1 (from a summer job) $6,720 Purchase season football tickets in September 90 Additional entertainment for each month 230 Pay fall semester tuition in September 3,600 Pay rent at the beginning of each month 320 Pay for food each month 180 Pay apartment deposit on September 2 (to be returned December 15) 500 Part-time job earnings each month (net of taxes) 830 a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except an overall cash decrease which should be indicated with a minus sign. KATHERINE MALLOY Cash Budget For the Four Months Ending December 31 September October November December Estimated cash receipts from: Part-time job $ $ $ $ Deposit Total cash receipts $ $ $ $ Estimated cash payments for: Season football tickets $ Additional entertainment $ $ $ Tuition Rent Food Deposit Total cash payments $ $ $ $ Overall cash increase (decrease) $ $ $ $ Cash balance at beginning of month Cash balance at end of month $ $ $ $ Feedback Sometimes an item may be a decrease in one period and an increase in a different period. Review the definitions of static budgets and flexible budgets. What weaknesses are shown by this cash budget? b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets? Static c. Malloy can see that her present plan will not provide sufficient cash. If Malloy did not budget but went ahead with the original plan, she would be $ short at the end of December, with no time left to adjust. Feedback Sometimes an item may be a decrease in one period and an increase in a different period. Review the definitions of static budgets and flexible budgets. What weaknesses are shown by this cash budget?

The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below. Student 1 2 3 4 5 6 7 8 Marketing 82 86 74 93 90 76 87 100 Finance 76 91 70 79 96 70 85 81 If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores, and using LaTeX: \alpha α = 0.05, the conclusion for this hypothesis test would be that because the test statistic is _______________________________________________________. less than the critical value, we can conclude that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course less than the critical value, we cannot conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course more than the critical value, we cannot conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course more than the critical value, we can conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course

I am trying to solve this question:

"You are working on a school project at the library when your friend Jane taps you on the shoulder. She cannot seem to connect to a certain website that she needs for her class. Fortunately, you know enough about Windows and networking to help troubleshoot the problem. You open a Windows command prompt and ......"

The dots at the end of the story indicates that I need to continue the story. However, I cannot finish it. I need to explain the various commands I would use to help Jane. It must include at least five different commands or tools to identify and attempt to fix the problem.

If you pay more in tuition to go to a top business​ school, will it necessarily result in a higher probability of a job offer at​ graduation? Let y=percentage of graduates with job offers and x=tuition ​cost; then fit the simple linear​model, E(y)=β0+β1x​,

to the data below. Is there sufficient evidence​ (α=0.10 of a positive linear relationship between y and​ x?

Give the null and alternative hypotheses for testing whether there exists a positive linear relationship between y and​ x?

A.H0​: β1s=0

Ha​:β1<0

B. H0​: β0=0

Ha​:β<0

C.H0​: β0=0

Ha​:β0>0

D. HO:β0:=0

Ha​: β0≠0

E. H0​: β1=0

Ha​: β1>0

F. H0​:β1=0

Ha​:β1≠0 .

Find the test statistic.

t=___________ ​(Round to two decimal places as​ needed.)

Find the​ p-value.​p-=______________ ​(Round to four decimal places as​ needed.)

Make the appropriate conclusion = ALPHA=0.10

Choose the correct answer below.

A.

Do not reject

H0. There is

insufficient

evidence that there exists a positive linear relationship between y and x.

B.

Do not reject

H0.

There is

sufficient

evidence that there exists a positive linear relationship between y and x.

C.

Reject

H0.

There is

insufficienti

evidence that there exists a positive linear relationship between y and x.

D.

Reject

H0.

There is

sufficient

evidence that there exists a positive linear relationship between y and x.

Click to select your answer(s).

Cara Ryder managers a ski school in a large resort and is trying to develop a schedule for instructors. The instructors receive little salary and work just enough to earn room and board. The receive free skiing and spend most of their free time tackling the resort’s notorious double black-diamond slopes. Hence, the instructors work only 4 days a week. One of the lesson packages offered at the resort is a 4-day beginner package. Ryder likes to keep the same instructor with a group over the 4-day period, so she schedules the instructors for 4 consecutive days and then 3 days off. Ryder uses years of experience with demand forecasts provided by management to formulate her instructor requirements for the upcoming month.

a) Determine how many instructors Ryder needs to employ. Give preference to Saturday and Sunday off. (Hint: Look for the group of 3 days with the lowest requirements.)

b) Specify the work schedule for each employee. How much slack does your schedule generate for each day?