In a consumer research study, several Meijer and Walmart stores were surveyed at random and the average basket price was recorded for each. You wish to determine if the average basket price for Meijer is different from the average basket price for Walmart. It was found that the average basket price for 18 randomly chosen Meijer stores (group 1) was $49.451 with a standard deviation of $12.3146. Similarly, a random sample of 25 Walmart stores (group 2) had an average basket price of $56.847 with a standard deviation of $13.7821. Perform a two independent samples t-test on the hypotheses Null Hypothesis: μ₁ = μ₂, Alternative Hypothesis: μ₁ ≠ μ₂. What is the test statistic and p-value of this test? You can assume that the standard deviations of the two populations are statistically similar.

Question 14 options:

7% of Americans have an O negative blood type. A SRS of 400 Americans are surveyed. Using normal approximation to the binomial, what is the approximate probability that at least 34 of them have the o negative blood type?

Please show work!

A seed company is developing many strains of tomatoes by selective breeding. Trials of two similar but not identical strains with favorable qualities were done in two fields under similar conditions. The company would like to know if the population average weight of tomato for strain 2 (u2) is statistically significantly larger than the population average weight for stain 1 (u1). Consequently they picked at random 15 tomatoes from the field with strain 1 and 14 from the field with strain 2 and weighed them.

Weight grams:

strain 1

132, 68, 74, 93, 61, 81, 62, 68, 103, 72, 64, 104, 62, 86, 95.

strain 2

40, 88, 112, 127, 114, 124, 95, 125, 989, 86, 142, 130, 70, 81.

Does the strain 2 have significantly greater mean weight than for strain 1? Test this hypothesis at the alpha = 0.01 and 0.05 levels, using the two samples. Make the assumption that the weight is distributed normally in both populations with equal variances. You will be testing u1 vs u2.

1) Which diagram shows reject/ fail to reject regions for this problem?

2) what is the test statistic is use for question?

3) compute the sample means and standard deviations that you will need for 5 &6.

4) what is the test statistic value computed from the data in question 1 &3?

5) if the level of significance alpha is .01 state the critical values which you would use relevant to questions 1&4.

6) if the level of significance alpha is 0.05 state the critical value which you would use relevant to questions 1 and4.

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=548.8μ=548.8 and standard deviation σ=26.4σ=26.4.

(a) What is the probability that a single student randomly chosen from all those taking the test scores 555 or higher?
ANSWER:

For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.

(b) What are the mean and standard deviation of the sample mean score x¯x¯, of 35 students?
The mean of the sampling distribution for x¯ is:
The standard deviation of the sampling distribution for x¯ is:

(c) What z-score corresponds to the mean score x¯ of 555?
ANSWER:

(d) What is the probability that the mean score x¯ of these students is 555 or higher?
ANSWER:

consider setting a goal with a longer term. You have decided to save for your newborns college education and have determined that by the time the child reaches 18, you would like them to have $10,000. you will make monthly deposits into an account that compounds monthly at an APR of 5.8%. How much will you need to deposit every month to make your goal? what is your total investment?

MAXIMIZING PROFIT: CUSTOM GAMING PCs

You are the owner of a mid-sized computer manufacturing and assembling facility – what started as a small business building and customizing computers for friends and family has grown into a much larger operation, and you want to make sure you are using your labor hours in the most efficient way to maximize your profits. Your company manufactures and assembles three types of custom gaming PCs, and the amount of manufacturing and assembling times required for each model along with the profit you make on each unit are given below:

Your labor budget each week is 1,000 hours of total manufacturing time, and 1,600 hours of assembly time. How many of each type of custom gaming PC should you task your teams with creating each week to maximize your profit?

1. Provide the solution to your completed tableau, listing the values for each variable (including any slack variables) and the objective function. Finally, state the solution in terms of our original problem: how many of each type of custom gaming PC should your teams manufacture each week in order to maximize your profits?

The following table exhibits the age of antique furniture and the corresponding prices. Use the table to answer the following question(s). (Hint: Use scatter diagram and the Excel Trendline tool where necessary).

What is the expected value for a 90 year-old piece of furniture?

a. $934.56

b. $1029.36

c. $1002.45

d. $1033.21

“Are Women Really More Talkative Than Men?” is the title of a 2007 article that appeared in the journal Science. In the article, Mehl and colleagues report the results of a study of 396 men and women. Each par-ticipant wore a microphone that recorded every word he or she uttered. The researchers counted the number of words uttered by men and women and compared them. The data below are fictional but they re-create the pattern that Mehl and colleagues observed:

Men: 16,345 17,222 15,646 14,889 16,701 Women: 17,345 15,593 16,624 16,696 14,200

Conduct the appropriate t-test (independent or paired) to test the hypothesis that there is a difference in the number of words uttered by men versus women using a two-tailed α = .05

Calculate r2 as a measure of effect size, and state whether the effect is small, medium, or large.

Calculate the 99% confidence interval to determine whether or not the result is significant at the

the α = .01 level.

Report the your results in APA style as you would do in a journal article.

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 51 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 51 tons and standard deviation σ = 1.2 ton.

(a) What is the probability that one car chosen at random will have less than 50.5 tons of coal? (Round your answer to four decimal places.)


(b) What is the probability that 22 cars chosen at random will have a mean load weight x of less than 50.5 tons of coal? (Round your answer to four decimal places.)


(c) Suppose the weight of coal in one car was less than 50.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment?

YesNo    

Suppose the weight of coal in 22 cars selected at random had an average x of less than 50.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why?

Yes, the probability that this deviation is random is very small.Yes, the probability that this deviation is random is very large.    No, the probability that this deviation is random is very small.No, the probability that this deviation is random is very large.

A statistical program is recommended.

Consider the following data for two variables, x and y.

(a). Develop an estimated regression equation for the data of the form

ŷ = b₀ + b₁x.

(b). Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05.

Find the value of the test statistic.

Find the p-value.

Is the relationship between x and y significant?

(c) Develop a scatter diagram for the data.

Does the scatter diagram suggest an estimated regression equation of the form ŷ = b₀ + b₁x + b₂x²? Explain.

(d). Develop an estimated regression equation for the data of the form ŷ = b₀ + b₁x + b₂x².

(e) Use the results from part (d) to test for a significant relationship between x, x², and y. Use α = 0.05. Is the relationship between x, x², and y significant?

Find the value of the test statistic.

Find the p-value.

(f). Use the model from part (d) to predict the value of y when x = 25.

Please walk me through SPSS setup and complete the following, NOT just answer it, but show me how you did it on SPSS

Below are data for the number of students in each of four age groups that are enrolled in several local schools:

Using SPSS, create a separate Pie Chart of the age groups for each school. Which school has the largest percentage of pre-adolescents? Then create of Bar Graph of the total count of students in each age group that are enrolled in local schools (including the local International School). Which age group represents the largest percentage of local students?

A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product.

Use the Kruskal-Wallis test and α = 0.05 to determine whether there is a significant difference among the ratings for the products.

(a). State the null hypothesis

(b). Find the value of the test statistic

(c). Find the P-value

(d). State your conclusion

The Rate of Return for firms on the stock market is about 8% on average(the mean) with a standard deviation of 6%.

(A) What proportion of firms will earn a return between 5% and 10%?

(B) To the nearest percent, find the probability of a firm earning 0% or less per year (i.e. not making money or losing money)? If there are 1,000 firms listed on the stock market, then how many firms will not make any money or lose money?

(C) To the nearest percent, find the probability of a firm earning 14% return in a year. If there are still 1,000 firms listed on the stock market, then how many firms will earn a return of 14% or higher?

(D) What rate of return would put a firm in the top 15%?

Below are data for the number of students in each of four age groups that are enrolled in several local schools:

Using the included data file and SPSS, create a separate Pie Chart of the age groups for each school. Which school has the largest percentage of pre-adolescents? Then create of Bar Graph of the total count of students in each age group that are enrolled in local schools (including the local International School). Which age group represents the largest percentage of local students?

Question 12

Please answer the following set of questions, based on the information provided below.

The data listed below give information for 10 middle-level managers at a particular company. The first column is years of experience [X] and the second column is annual salary (in thousands) [Y]. We are going to examine the relationship between salary in thousands [Y] and years of experience[X]. Below is the regression output.

According to the least squares line, if the experience increases by 2 years, the Salary should _______ by ______units (in thousands).