1.

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.7 inches, and standard deviation of 1.7 inches.

What is the probability that the height of a randomly chosen child is between 53.05 and 53.95 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

Answer= (Round your answer to 3 decimal places.)

2.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 35 liters, and standard deviation of 4.2 liters.

A) What is the probability that daily production is less than 26.8 liters?

Answer= (Round your answer to 4 decimal places.)

B) What is the probability that daily production is more than 24.9 liters?

Answer= (Round your answer to 4 decimal places.)

Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.

Find the critical value for a​ right-tailed test with

a=0.01

and

n=75.

The SAT has gone through many revisions over the years. People argue that female students generally do worse on math tests but better on writing tests. Consider the following portion of data on 20 students who took the SAT test last year. Information includes each student’s score on the writing and math sections of the exam, the student’s GPA, and a Female dummy variable that equals 1 if the student is female, 0 otherwise.

a-1. Estimate a linear regression model with math score as the response variable and GPA and the female dummy variable as the explanatory variables. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

MathˆMath^ = _______ + _______ GPA + _____Female.

a-2. Compute the predicted math score for a male and female student with a GPA of 3.5. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

The following weights in kilograms were recorded for a hockey team:
73 75 76 77 78 86 81 75 100 92 82 73 85 79
84 92 80 78 77 81 83 74 80 69 92 79 72 76
a) Find the mean, mode, and median weights.
b) Which of these three measures of central tendency is the least representative of the set of weights? Why?

Costco sells paperback books in their retail stores and wanted to examine the relationship between price and demand. The price of a particular novel was adjusted each week and the weekly sales were recorded in the table below.

Management would like to use simple regression analysis to estimate weekly demand for this novel using the price of the novel. The 95% confidence interval that estimates the average weekly sales for a price of $9 is ________.

A. (1.96, 13.16)

B.(7.26, 7.86)

C.(5.93, 9.19)

D.(1.26, 13.86)

E.(1.69, 12.66)

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Question 6 0.25 pts

An office manager for a group of financial advisors who provide financial services for individual clients. She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The following table shows the number of presentations and corresponding new clients for a random sample of six employees.

The manager would like to use simple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. The 90% prediction interval that estimates the number of new clients per month for an employee who makes nine presentations per month is ________.

A.(2.90, 3.97)

B.(1.83, 5.04)

C.(0.82, 5.44)

D.(0.00, 6.86)

E.

(0.34, 4.66)

2. The data set (Concrete1.xlsx) contains the compressive strength, in thousands of pounds per square inch (psi), of 30 samples of concrete taken two and seven days after pouring. (You need to use The Paired Difference Test).

(a) At the 0.10 level of significance, is there evidence of a difference in the mean strengths at two days and at seven days?

(b) Find the p-value in (a) and interpret its meaning.

(c) At the 0.10 level of significance, is there evidence that the mean strength is lower at two days than at seven days?

(d) Find the p-value in (c) and interpret its meaning.

George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund and (2) a stock fund. The projected returns over the life of the investments are 8% for the bond fund and 20% for the stock fund. Whatever portion of the inheritance George finally decides to commit to the trust fund, he wants to invest at least 40% of that amount in the bond fund. In addition, he wants to select a mix that will enable him to obtain a total return of at least 5.5%.

a.Formulate a linear programming model that can be used to determine the percentage that should be allocated to each of the possible investment alternatives. If required, round your answers to three decimal places. Let B = percentage of funds invested in the bond fund S = percentage of funds invested in the stock fund

1. Max Max Min	B	+	S
   s.t.
   	B			≥ ≤ ≥ =		Bond fund minimum
   	B	+	S	≥ ≤ ≥ =		Minimum return
   	B	+	S	= ≤ ≥ =		Percentage requirement

b.Solve the problem using the graphical solution procedure. If required, round the answers to one decimal place. Optimal solution:

B =

S =

Value of optimal solution is= %

Costco sells paperback books in their retail stores and wanted to examine the relationship between price and demand. The price of a particular novel was adjusted each week and the weekly sales were recorded in the table below.

Management would like to use simple regression analysis to estimate weekly demand for this novel using the price of the novel. The 95% confidence interval that estimates the average weekly sales for a price of $9 is ________.

In a study of speed​ dating, male subjects were asked to rate the attractiveness of their female​ dates, and a sample of the results is listed below ​(1equalsnot ​attractive; 10equalsextremely ​attractive). Construct a confidence interval using a 99​% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females? 5​, 7​, 1​, 9​, 4​, 6​, 6​, 9​, 8​, 9​, 4​, 8 What is the confidence interval for the population mean mu​? nothingless thanmuless than nothing ​(Round to one decimal place as​ needed.) What does the confidence interval tell about the population of all adult​ females? Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice. A. The results tell nothing about the population of all adult​ females, because participants in speed dating are not a representative sample of the population of all adult females. B. We are confident that 99​% of all adult females have attractiveness ratings between nothing and nothing. ​(Round to one decimal place as​ needed.) C. We are 99​% confident that the interval from nothing to nothing actually contains the true mean attractiveness rating of all adult females. ​(Round to one decimal place as​ needed.)

Show all five steps: The harmful effects of smoking tobacco have been illustrated in medical studies yet many individuals still choose to smoke. The Centers for Disease Control estimate that approximately 13% of students aged 18 – 24 smoke tobacco. Using only the students in the “22 or younger” age group test to see if the proportion of students smoking tobacco is lower in Maryland. Let α= 0.01.  

Data from StatCrunch: 1,129 students aged 22 or younger surveyed 51 "yes", 1078 "no"

Please list each step: Hypotheses, Conditions/Assumptions, Mechanics, Decision, and Statement

• Bronchodilators. These medications — which usually come in an inhaler — relax the muscles around your airways. Inhaled steroids. Inhaled corticosteroid medications can reduce airway inflammation and help prevent exacerbations. Combination inhalers. Some medications combine bronchodilators and inhaled steroids. Salmeterol and fluticasone (Advair) and formoterol and budesonide (Symbicort) are examples of combination inhalers. So our focus for this question is the Advair Diskus and Symbicort; both maintenance inhalers and often compared. Advair Diskus may begin working within 30 – 60 minutes and Symbicort may begin working within 15 minutes, although results may vary in both cases. We visited the Bowmanville emergency department and monitored some of the recently admitted COPD patients who were placed on either Advair or Symbicort. One-hour after their medication was delivered, their SpO2 (peripheral capillary oxygen saturation) levels were recorded; the results were as follows: The raw and sorted data (smallest to largest) are shown below. SpO2 (%) (Raw data) SpO2 (%) (Sorted Raw Data) Advair Symbicort Advair Combined Symbicort Combined Rank Rank 90 93 88 90 88 90 89 90 90 97 90 93 89 90 90 93 90 93 90 96 96 97 97 97 Medians 90 93 Since it was not decided (hypothesized) which drug would offer the most benefit after one hour, use the Mann-Whitney U-Test to test the claim at 95% confidence that there is a difference in these two products. (Assume the median SpO2 results from the two drugs are significantly different from each other.) State the Null and Alternative Hypothesis (1) State the Decision Rule. (1) Determine U and U’ (4,4) Determine the Test statistic, Utest (1) State your Decision (1)

In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6980 subjects randomly selected from an online group involved with ears. There were 1332 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. Upper H 0​: pequals0.2 Upper H 1​: pless than0.2 B. Upper H 0​: pgreater than0.2 Upper H 1​: pequals0.2 C. Upper H 0​: pequals0.2 Upper H 1​: pgreater than0.2 D. Upper H 0​: pless than0.2 Upper H 1​: pequals0.2 E. Upper H 0​: pequals0.2 Upper H 1​: pnot equals0.2 F. Upper H 0​: pnot equals0.2 Upper H 1​: pequals0.2 The test statistic is zequals nothing. ​(Round to two decimal places as​ needed.) The​ P-value is nothing. ​(Round to three decimal places as​ needed.) Because the​ P-value is ▼ greater than less than the significance​ level, ▼ reject fail to reject the null hypothesis. There is ▼ insufficient sufficient evidence to support the claim that the return rate is less than​ 20%.

Advair, a combine bronchodilator and inhaled steroid is relatively slow working. Usually a patient has to wait at least an hour before the full effect of this medicine kicks in. We were interested whether the patients could be reclassified (from severe to moderate COPD) within one-hour based on their Advair intervention. Measurements were made before the Advair was administered and then exactly one-hour after the treatment. Here are the data.

So over 1,500 patients were studied. Of the 1,554, 853 (or 55%) were classified as being severe COPD patients before the Advair intervention and then after the intervention, this number dropped to 766 (or 50%).

So it appears there was an effect within the one-hour time period. Now we need to show it statistically.

So using the McNemar test, test the claim at 95% confidence that there was an Advair intervention effect.

1. State the Null and Alternative Hypotheses (1)
2. State the Decision Rule (2)
3. Determine the McNemar test statistic (3)

State your Decision and Interpretation. (1,1)

Can someone show me how to do this on excel?

Question involves cell phone users.

Mean monthly data usage = 5.8 GB/month

StDev monthly data usage = 2.5 GB/month

"Heavy users" are those that use >= 9 GB/month

a.) What is the probability a "heavy user" uses more than 10 GB/month?

b.) Two users are selected at random. What is the probability at least one of them is a heavy user?

c.) Five users are selected at random. What is the probability that at least one of them is a heavy user?

Again, I am looking for the EXCEL formula to solve these. THANK YOU!!!!

Coronary heart disease (CHD) begins in young adulthood and is the fifth leading cause of death among adults aged 20 to 24 years. However, studies of serum cholesterol levels among college students are scarce. One study at a southern university investigated the lipid levels in a cohort of sedentary university students. A total of 85 students volunteered for the study and met the eligibility criteria. The following table summarizes the sample data collected for the blood lipid levels, in milligrams per deciliter (mg/dl), of the participants broken down by gender:

Construct a 95% confidence interval estimate for the mean difference in total cholesterol levels for sedentary female and male university students.

Note: Do not do any intermediate rounding in your calculations!

ANSWER:  (Click to select)+-±  ≤ (Click to select)(π1 - π2)(x-bar1 - x-bar2)(μ1 - μ2)(s1 - s2)(σ1 - σ2)μd(n1 - n2)(p1 - p2) ≤ (Click to select)±-+  (report your answers to 4 decimal places, using conventional rounding rules.)

PLEASE ROUND 4 DECIMAL PLACES