A poll of 1021 U.S. adults split the sample into four age​ groups: ages​ 18-29, 30-49,​ 50-64, and​ 65+. In the youngest age​ group, 60​% said that they thought the U.S. was ready for a woman​ president, as opposed to 37​% who said​ "no, the country was not​ ready" (3% were​ undecided). The sample included 255​18- to​ 29-year olds.

​a) Do you expect the 90% confidence interval for the true proportion of all​ 18- to​ 29-year olds who think the U.S. is ready for a woman president to be wider or narrower than the

90

​%

confidence interval for the true proportion of all U.S.​ adults?

​b) Construct a

90

​%

confidence interval for the true proportion of all​ 18- to​ 29-year olds who believe the U.S. is ready for a woman president.

​a) The

90

​%

confidence interval for the true proportion of​ 18- to​ 29-year olds who think the U.S. is ready for a woman president will be about

▼

twice

equally

four times one-fourth one-half as wide as the 90% confidence interval for the true proportion of all U.S. adults who think this.

​b) The 90% confidence interval is ( % , % )

.​(Round to one decimal place as​ needed.)

Each of three supermarket chains in the Denver area claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, a local television station conducted a study by randomly selecting nine grocery items. Then, on the same day, an intern was sent to each of the three stores to purchase the nine items. From the receipts, the following data were recorded. At the 0.100 significance level, is there a difference in the mean price for the nine items between the three supermarkets?

Data File

1. State the null hypothesis and the alternate hypothesis.

For Treatment (Stores): Null hypothesis

1. H₀: μ₁ ≠ μ₂ ≠ μ₃

2. H₀: μ₁ = μ₂ = μ₃

• a

• b

2. Alternate hypothesis

• H₁: There is no difference in the store means.

• H₁: There is a difference in the store means.

3. For blocks (Items):

1. H₀: μ₁ = μ₂ = ... μ₉

2. H₀: μ₁ ≠ μ₂ ≠ ... μ₉

• a

• b

4. Alternate hypothesis

• H₁: There is no difference in the item means.

• H₁: There is a difference in the item means.

5. What is the decision rule for both? (Round your answers to 2 decimal places.)

6. Complete an ANOVA table. (Round your SS, MS to 3 decimal places, and F to 2 decimal places.)

7. What is your decision regarding the null hypothesis? The decision for the F value (Stores) at 0.100 significance is:

• Reject H₀

• Do not reject H₀

8. The decision for the F value (Items) at 0.100 significance is:

• Do not reject H₀

• Reject H₀

9. Is there a difference in the item means and in the store means?

When only two treatments are involved, ANOVA and the Student’s t test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t^₂ = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of 6 students who took the course in the normal lecture format. The other group of 8 students took the course as a distance course format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups.

1. a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p value to 4 decimal places.)

1. a-2. Use a α = 0.01 level of significance. (Round your answer to 2 decimal places.)

2. Using the t test from Chapter 11, compute t. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

3. There is any difference in the mean test scores.

The dataset contains measurements of iron levels at several depths in a bay. Develop your hypotheses and at .05 significance level conduct the appropriate statistical test to determine if iron levels are different at different depths. If they are, at .05 significance level, conduct follow up tests to determine which groups are different from each other. Build the ANOVA table. Select all the groups that are significantly different from each other:

Select all the groups that are significantly different from each other:

Select one or more:

a. 0 ft and 10 ft

b. 0 ft and 30 ft

c. 0 ft and 40 ft

d. 10 ft and 30 ft

e. 10 ft and 40 ft

f. 30 ft and 40 ft

Do owners of SUVs put more mils on their vehicles in a week than do owners of cars? To answer this question, the following data was collected.

Using α = 0.01, do SUV owners drive more? (Show all six steps of hypothesis testing.)

Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

1. What is your decision regarding H₀? (Round your answers to 2 decimal places.)

2. What is your conclusion?

We have a lot of data and information. If you want to forecast something, find data for it from the library. Let us call this data Dependent variable . Also find data for variables,( let us call them Independent Variables) that influence dependent variables.

Your task is to find data for one dependent variable and more than one independent variables. The independent variables must be related to the dependent variable.

Using your data,  run the regression on Excel and comment on how good and robust is the relationship between the dependent variable and the independent variables.

Important: You must indicate the source of data.(failure to indicate this gets automatic zero).  Data should be original. No data from the text books or data that has been already used for regression may be used.

How do women fare in comparison with men in reaching managerial positions in department store retailing? A sampling of 321 retail department store chains may help to answer this question. The accompanying table gives the numbers of managers at the upper, middle, and lower levels of management for 10,141 males and 7,913 females. Do the data provide sufficient evidence to indicate differences between males and females in the proportions of each sex in the three levels of management? Test using a = 0.05.

Suppose 400 students take an exam and the distribution of their scores can be treated as normal. Find the number of scores falling into each of the following ranges:

(a)   Within 1 standard deviation of the mean.

(b)  Within 2 standard deviations of the mean.

Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples.

Sample 1: n1=17, x¯¯¯1=24.7, s1=3.05n1=17, x¯1=24.7, s1=3.05

Sample 2: n2=7, x¯¯¯2=22.5, s2=4.62n2=7, x¯2=22.5, s2=4.62

Compute:

(a) the degrees of freedom:

(b) the test statistic (use Sample 1 −− Sample 2):

(c) he P-value:

a) What is the probability that a 5-card poker hand has at least three spades?

(b)What upper bound does Markov’s Theorem give for this probability?

(c)What upper bound does Chebyshev’s Theorem give for this probability?

the other questions have the wrong solution, so please help.

Suppose that there are 27 matches originally on the table, and you are challenged by your dinner partner to play this game. Each player must pick up either 1, 2, 3, or 4 matches, with the player who picks up the last match pays for dinner. What is your optimal strategy? (Describe your decision rule as concisely as you can.)

Five different environments were chosen to compare the seed yield of four strains of a weed species. In each environment, four adjacent plots of approximately same fertility and moisture level were found and each strain was randomly assigned to a plot. At maturity, ten random samples were taken from each plot and the mean number of seeds per plant was recorded. These data are presented below:

                                                                                                Strain (I)

                                    Environment (J)                   A         B         C         D        

            _______________________________________________________________      

                                                            1                      18        20        17        15                   

                                                            2                      16        18        16        18                   

                                                            3                      18        21        16        13                   

                                                            4                      18        20        17        16                   

                                                            5                      19        17        18        20                   

1. Complete the analysis of variance (ANOVA) table for the experiment.                
2. Was it a reasonable design to use for the experiment? Explain.                                                             

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a mean diameter of 206 inches.

If 90 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.3 inches? Round your answer to four decimal places.

The price of a three-month future contract on the S&P 500 index is traded at 2355. Use a 9 step binomial tree model to value an American put on the future contract assuming K=2400, r=1%, s=15%. The price of the American put option is ___________.