The sale records of a retail store are given in the Excel worksheet "Retail"

1. Using the moving average method with p = 3 most recent data, the forecast value at time t = 53 is:

a/ 12.34

b/ 10.50

c/ 11.15

d/ 11.32

2. Using the moving average method with p = 3 most recent data, the M A P E is

a/ 9.52%

b/ 39.23%

c/ 26.92%

d/ 40.45%

3. Using the exponential smoothing with alpha = 4, the smoothed SALE at time t = 10 is

a/ 8.87

b/ 9.81

c/ 12.92

d/ 13.15

4. Using the exponential smoothing with alpha = 4, the forecasted SALE at time t = 53 is

a/ 11.49

b/ 14.50

c/ 11.05

d/ 15.53

5. The value of M A D for using exponential smoothing with alpha = 4 to forecast is

a/ 3.66

b/ 2.29

c/ 4.34

d/ 8.76

According to Readers Digest, 42% or primary care doctors think their patients receive unnecessary medical care.

a) Suppose a sample of 300 primary care doctors was taken. Show the sampling distribution of the proportion of doctors who think their patients receive unnecessary medical care.

b) What is the probability that the sample proportion will be within

+/- 0.03 of the population proportion?

c) What is the probability that the sample proportion will be within

+/- 0.05 of the population proportion?

d) What would the effect of taking a larger sample be on the probabilities in parts (b) and (c)? Why?

Adirondack Savings Bank (ASB) has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 7% for home loans, 12% for personal loans, and 10% for automobile loans. The bank’s planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans.

Fill in the blanks

Find a reference to a poll or study in recent news (last few weeks ideally, earlier if you must.) Did the author include the margin of error? Is this information important? Why or why not?

i don't understand it. please help!

A petroleum company has three plants. From a barrel of crude oil, factory #1 can produce 20 gallons of motor oil, 10 gallons of diesel oil and 5 gallons of gasoline. There is also waste in the form of paraffin, among other things. Similarly, factory #2 can produce 4 gallons, 14 gallons, and 5 gallons, respectively, while factory #3 can produce 4 gallons, 5 gallons, and 12 gallons, respectively of motor oil, diesel oil, and gasoline. Factory #1 has 3 gallons of paraffin to dispose of per barrel of crude, factory #2 5 gallons, and factory #3 2 gallons. The current daily demand from distributors is 5000 gallons of motor oil, 8500 gallons of diesel oil and 10000 of gasoline.

QUESTION #5. Suppose factory #3 is shut down by the EPA temporarily for excessive emissions into the atmosphere. If your demand is as it was originally (5000,8500,10000), what would you now say about the companies ability to meet it? What do you recommend they schedule for production now? (Consider the fact that you don’t want to simply tell a client that you can’t solve their problem! They might be paying your company millions of dollars! Offer them lots of options and ideas if you can’t provide exactly what they want.)

The Arizona pick 6 "Lotto" lottery says you're a winner if your letter ticket has 3,4,5, or 6 of the winning numbers (of 42 to choose from). If you buy one lottery ticket, what is the probability that your ticket is a loser? PLEASE explain and show how you did this step by step. IM TRYING to actually learn how to do this problem.

Binomial or Not Binomial ? … and if it is binomial, give the values of p and n.

1. The number of diamonds observed when 2 cards are sampled at random (without replacement) from a standard deck of playing cards.

A. Not Binomial B. B( p = _____, n =_____ )

2. The number of times 2 spots is observed when a fair die is rolled 2 times.    

A. Not Binomial B. B( p = _____, n =_____ )

3. The total number of spots observed when a fair die is rolled 2 times.      

A. Not Binomial B. B( p = _____, n =_____ )

4. The number of times a fair die is rolled until 2 spots is first observed.

A. Not Binomial B. B( p = _____, n =_____ )

5. The number of diamonds observed when 2 cards are sampled at random (with replacement) from a standard deck of playing cards.

A. Not Binomial B. B( p = _____, n =_____ )

6. The random variable with distribution given by:   

A. Not Binomial B. B( p = _____, n =_____ )

7. The random variable with distribution given by:   

      A. Not Binomial B. B( p = _____, n =_____ )

8. The random variable with distribution given by:   

A. Not Binomial B. B( p = _____, n =_____ )

5 more questions from the first post that I made. Posting questions I don't quite understand or need some help with.

The ideal (daytime) noise-level for hospitals is 45 decibels with a standard deviation of 9 db; which is to say, this may not be true. A simple random sample of 70 hospitals at a moment during the day gives a mean noise level of 47 db. Assume that the standard deviation of noise level for all hospitals is really 9 db. All answers to two places after the decimal.

(a) A 99% confidence interval for the actual mean noise level in hospitals is ________ db, ________ db.

(b) We can be 90% confident that the actual mean noise level in hospitals is ________ db with a margin of error of ________ db.

(c) Unless our sample (of 81 hospitals) is among the most unusual 2% of samples, the actual mean noise level in hospitals is between _______ db and ________ db.

(d) A 99.9% confidence interval for the actual mean noise level in hospitals is ________ db , ________ db .

(e) Assuming our sample of hospitals is among the most typical half of such samples, the actual mean noise level in hospitals is between _______ db and ________ db.

(f) We are 95% confident that the actual mean noise level in hospitals is ________ db, with a margin of error of _______ db .

(g) How many hospitals must we examine to have 95% confidence that we have the margin of error to within 1 db?

(h) How many hospitals must we examine to have 99.9% confidence that we have the margin of error to within 1 db?

I am using a course that requires me to use excel.I am able to figure everything out except the test statistic

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 15 mature female pink seaperch collected in fall has a mean length of 108 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 106 millimeters and a standard deviation of 13 millimeters. At alphaequals0.02​, can you support the marine​ biologist's claim? Assume the population variances are equal. Assume the samples are random and​ independent, and the populations are normally distributed. Complete parts​ (a) through​ (e) below.

One Way ANOVA (Analysis of Variance)

A manufacturer of steel wants to test the effect of the method of manufacture on the tensile strength of a particular type of steel. Four different methods have been tested and the data shown in Table 1. (Use Minitab)

1. Develop the ANOVA table and test the hypothesis that methods affect the strength of the cement. Use a = 0.05
2. Use the Tukey’s method with a =0.05 to make comparisons between pairs of means.
3. Construct a normal probability plot of the residuals. What conclusion would you draw about the validity of the normality assumption?
4. Prepare a scatter plot of the results to aid the interpretation of the results of this experiment
5. Find a 95 percent confidence interval on the mean tensile strength of each method. Also find a 95 percent confidence interval on the difference in means for techniques 1 and 3. Does this aid in interpreting the results of the experiment?

                    Table 1

                                         Method                      Tensile Strength

                                              1                 6.5       7.6       7.5        6.0

                                              2                 9.8       9.7       8.6        8.9

                                              3                 7.7       6.2       6.9        7.0

4.              9.0       8.8       8.5        9.5

A manufacturer of sports equipment has developed a new synthetic fishing line that the company claims has a mean breaking strength of 8 kg with a standard deviation of 0.5 kg. To test the claim, a random sample of 50 lines is tested and found to have a mean breaking strength of (7.8 kg) and a standard deviation of (0.7 kg). Could you conclude that the manufacturer claim justified at 0.01 level of significance?( state any assumptions made)   

Subject: Probability and statistics

1. Research examining the effects of preschool child care has found that children who spent time in day care, especially high-quality day care, perform better on math and language tests than children who say home with their mothers (Broberg, Wessels, Lamb, & Hwang, 1997). In a typical study, a researcher obtains a sample of n = 10 children who attended day care before starting school. This children are given a standardized math test for which the population mean is μ = 52.

The scores for the sample are as follows:

   53, 57, 61, 49, 52, 56, 58, 62, 51, 56

On the basis of this sample, children with a history of preschool day care significantly different from the general population? Use a two-tailed test with α = .05.

a. State the null hypothesis in words and in a statistical form

b. State the alternative hypothesis in words and a statistical form (1).

c.Compute the appropriate statistic to test the hypotheses. Sketch the distribution with the estimated standard error and locate the critical region(s) with the critical value(s) (6). [When you compute SS, you might want to use the definitional formula as it might be easier to compute SS this way].

d. State your statistical decision

e. Compute Cohen’s d. Interpret what this d really means in this context

f. Compute 95% CI

g. What is your conclusion? Interpret the result. Don’t forget to include statistical information as well (e.g., t-score, df, α, Cohen’s d)

1.) The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 65 ounces and a standard deviation of 6 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

a) 95% of the widget weights lie between and

b) What percentage of the widget weights lie between 59 and 77 ounces? %

c) What percentage of the widget weights lie below 83? %

2.) Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.7-in and a standard deviation of 0.8-in.

In what range would you expect to find the middle 50% of most head breadths?
Between and

If you were to draw samples of size 53 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample?
Between and

Enter your answers as numbers. Your answers should be accurate to 2 decimal places.

Pager (2003) reported that white men with a felony record were as likely to receive a job interview than were black men without a felony record. Using the data below, replicate her findings. Specifically, among 149 black respondents without a felony record, the probability that a potential employer called them for a job interview was .14. Among 53 white respondents with a felony record, the probability that a potential employer called them for a job interview was .17.

A) What is the 95% confidence interval for the probability that black men without a felony were called back for a job interview?

B)Suppose Pager’s research hypothesis was that a criminal record was more important than race in determining the likelihood of employment. Thus, she expected that black men without felonies (BM) were more likely to be interviewed than white men with felonies (WMF). Test the Null Hypothesis of no difference in the likelihoods. State the Null and Research Hypotheses

C)Using a .01 alpha level, determine the critical value of the test.

D)Calculate the obtained value for your test.

E) Interpret the test results.