Best Electronics offers a “no hassle” returns policy. The number of items returned per day follows the normal distribution. The mean number of customer returns is 9.6 per day and the standard deviation is 2.30 per day. Refer to the table in Appendix B.1.  

a. In what percentage of the days 6 or fewer customers returning items? (Round z-score computation to 2 decimal places and the final answer to 2 decimal places.)

Percentage            %

b. In what percentage of the days between 12 and 15 customers returning items? (Round z-score computation to 2 decimal places and the final answer to 2 decimal places.)

Percentage            %

c. Is there any chance of a day with no returns?

(Click to select)  

Imagine a poll is conducted with a large, representative sample of US adults. Respondents are asked whether they think that the influence of religion in the US is changing. They respond on a scale from 0 to 10 where 0 means religion is becoming much less influential, 5 means the influence of religion is not changing, and 10 means religion is becoming much more influential. The average rating is 3.8 with a 2 point margin of error (95% confidence). The polling organization reports that Americans believe that religion is losing its influence in the US.

part 1: What is the 95% confidence interval for the mean rating (give the upper and lower bounds)?

part 2: What does this confidence interval tell you about Americans' beliefs about the influence of religion? Do you agree with the polling organization's conclusion?

partt 3: Do you think the results of this poll would be different if the question were asked differently? For example what if the question asked about the role of religion in controlling people's behaviour rather than asking about "influence"? Would it matter if this question were asked immediately following a question about religious service attendance? Or school prayer?

part 4: What are some things that can be done when creating a poll to minimize or control for the effects of word choice or question order?

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze.​(a) What is the probability that among 18 randomly observed individuals exactly 4 do not cover their mouth when​ sneezing?​(b) What is the probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when​ sneezing?​(c) Would you be surprised​ if, after observing 18 individuals, fewer than half covered their mouth when​ sneezing? Why?

​​(​c) Fewer than half of 18 individuals covering their mouth would/would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is ………., which is an usual/unusual event.

In a random sample of 84 ears of corn, farmer Carl finds that 9 of them have worms. He wants to find the 99% confidence interval for the proportion of all his corn that has worms.

(c) What is the margin of error (E) for a 99% confidence interval?
E =  

(d) Construct the 99% confidence interval for the proportion of all of Carl's corn that has worms.

___ < p < ____

(e) Based on your answer to part (d), are you 99% confident that less than 22% of Carl's corn has worms?

Yes, because 0.22 is below the upper limit of the confidence interval.

No, because 0.22 is below the upper limit of the confidence interval.   

  Yes, because 0.22 is above the upper limit of the confidence interval.

No, because 0.22 is above the upper limit of the confidence interval.

Determine the value z* that satisfies the conditions below. (Round all answers to two decimal places.)

(a) Separates the largest 3.2% of all z values from the others
z* =  

(b) Separates the largest 0.8% of all z values from the others
z* =  

(c) Separates the smallest 5.6% of all z values from the others
z* =

(d) Separates the smallest 12.1% of all z values from the others
z* =

1. A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=147 mg/dl and σ=8 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured:

a. Once? b. n=9 times c. n=11 times d. Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, why this occurs and what it means in context.

How would this be done using Excel?

The following data are from a completely randomized design. In the following calculations, use

α = 0.05.

(a)

Use analysis of variance to test for a significant difference among the means of the three treatments.

State the null and alternative hypotheses.

H₀: μ₁ ≠ μ₂ ≠ μ₃
H_a: μ₁ = μ₂ = μ₃

H₀: μ₁ = μ₂ = μ₃

H_a: Not all the population means are equal.  

H₀: Not all the population means are equal.
H_a: μ₁ = μ₂ = μ₃

H₀: At least two of the population means are equal.

H_a: At least two of the population means are different.

H₀: μ₁ = μ₂ = μ₃
H_a: μ₁ ≠ μ₂ ≠ μ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.  

Do not reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Do not reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

(b)

Use Fisher's LSD procedure to determine which means are different.

Find the value of LSD. (Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for each pair of treatments.

[x₁ − x_2]

=

[x₁ − x_{3 ]}

=

[x₂ − x_3]

Which treatment means differ significantly? (Select all that apply.)=

There is a significant difference between the means for treatments 1 and 2.

There is a significant difference between the means for treatments 1 and 3.

There is a significant difference between the means for treatments 2 and 3.

There are no significant differences.

Springfield Tech is a large university. They receive thousands of applications every year and accept 16% of their applicants. A random sample of 30 applicants is selected. We are interested in the number of applicants of sample that are accepted.

1. Find the probability that at least 3 of the 30 applicants are accepted.
2. Find the probability that at most 3 of the 30 applicants are accepted.
3. Find the probability that exactly 4 of the 30 applicants are accepted.
4. Find the mean and standard deviation of the number of applicants accepted.
5. Find the probability that between 1.5 and 5.5 of the 30 applicants are accepted.

Describe an application of exploratory factor analysis that is specific to research industry or to data science. Explain why this technique is suitable in terms of measurement scale of variables and their roles.

In a random sample of 100 persons with low incomes, 100 persons with average incomes, and 100 persons with high incomes, there were, respectively, 40, 50, and 60 who love biking.

(a) Use the 0.05 level of significance to test the null hypothesis θ1 = θ2 = θ3 = 0.5 (that the proportion of persons loving biking is 50% for all three income groups) against the alternative hypothesis that the three θ’s are not all equal to 0.5. In carrying out your test, be sure to state your null and alternative hypothesis, compute the test statistic, and state your conclusions, both in terms of the hypotheses and in terms of the problem.

b) specify the approximation you used in part (a)

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.4μ=553.4 and standard deviation σ=29.3σ=29.3.

(a)What is the probability that a single student randomly chosen from all those taking the test scores 560 or higher?

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¯x¯ is:

(c) What z-score corresponds to the mean score x¯x¯ of 560?

(d)What is the probability that the mean score x¯x¯ of these students is 560 or higher?

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 25 houses that sold in their neighborhood took an average time of 85 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 12 days.

a. What assumption regarding the population is necessary for making an interval estimate for the population mean? Assume that the central limit theorem applies. Assume that the population has a normal distribution.

b. Construct the 99% confidence interval for the mean sale time for all homes in the neighborhood. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answers to 2 decimal places.)

Confidence interval to

In a study of the effectiveness of certain exercises in weight reduction, a groupof 10 persons engaged in these exercises for one month and showed the following results:

weight before weight after

214 209

182 179

194 192

160 161

182 182

172 166

155 154

185 181

167 164

203 201

a) Use a hypothesis test with the 0.05 level of significance to judge whether the exercises are effective in weight reduction. In carrying out your test, be sure to state your null and alternative hypothesis, compute the test statistic and state your conclusions, both in terms of the hypotheses and in terms of the problem.

b) specify the assumption you used in part (a)

In a simple lottery, 10 ping pong balls numbered 1 through 10 are placed in a bucket and mixed thoroughly. Four balls are selected at random without replacement and their number is recorded. To play, you purchase a ticket for $1 and write down a 4-digit number. If the numbers match your ticket, you win $5,000.

a) How many different outcomes are possible?

b) What is your probability of winning.

c) Suppose that you can purchase a Mega ticket for $20. This means that the order does not matter for you to win. How many outcomes are now possible?

d) What is your probability of winning with a Mega ticket?

e) If you had $20 to play this lottery, would you rather buy 20 regular tickets or 1 Mega ticket?

Assignment Details
Prepare a report identifying the top-ranked ERP system where you work or for another organization with which you are familiar. Using this template, conduct research for these major ERP suppliers: Infor, Microsoft, Oracle, Sage, and SAP.
Based on your selected organization, assign a company priority level in the blue cells and a vendor capability level in the light gray cells and then the company's capabilities in the indicated cells.
The company priority level is an indication as to whether or not the company needs the feature: