The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2643 miles, with a standard deviation of 368 miles. If he is correct, what is the probability that the mean of a sample of 44 cars would differ from the population mean by less than 51 miles? Round your answer to four decimal places.

1. There are multiple sections of 3 classes that have to be offered. Class A has an average enrollment of 120 per term. Class B has an average of 100 students per term and Class C has an average enrollment of 85 students per term. The rules for opening and cancelling sections are as follows:

1. Any section of this class must have at least 15 students to run. Any less than this and the section is cancelled.
2. Each section has a maximum enrollment of 45 students.
3. A new section will open up when the previous section (s) have an average enrollment of 40.
4. A new section will open up to accommodate department regulations on staffing.

For each class run a simulation using your chosen distribution and determine the following:

1. Given that anytime enrollment in a class reaches over 175 students, there will be 5 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

ii)    Given that anytime enrollment in a class reaches 135 students to 180 students, there will be 4 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

3. Given that anytime enrollment in a class reaches 95 students to 120 students, there will be 3 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

4. If a third section of Class C opens when enrollment goes above 80, and it gets cancelled when enrollment is below 95, How often does the third section get cancelled? (Enrollment is between 80 and 95)

5. Based upon the probabilities you found above, how many sections of each class do you offer? 2, 3, 4 or 5?

Class A =

Class B =

Class C =

Using the number of sections, you found above create a schedule that maximizes the quality of teaching these classes. Full Time profs must teach 3-4 sections. Part time profs must teach 1-2 sections.

6. What is the minimum number of sections (total) that need to be offered?

7. What is the maximum number of sections (total) you can offer?

Professor Data is below:

Given your answers in part v, and possibly modified by your answers in part vi, what is the quality score of your department’s teaching?

How many sections of each class do the professors teach?

Which of the following statements is correct regarding the null and alternative hypothesis?

a) the alternative hypothesis is the one that we want to reject

b) the null hypothesis should be identified as the one without an equality relationship

c) one should dichotomize(divide in two) the possible values of the parameter on the basis of the decision that must be made, then identify the null and alternative hypotheses accordingly

d) all of the above

Historically, 20% of graduates of the engineering school at a major university have been women. In a recent, randomly selected graduating class of 210 students, 58 were females. Does the sample data present convincing evidence that the proportion of female graduates from the engineering school has shifted (changed)? Use α = 0.05.

***I ALREADY HAVE A-E ANSWERED***
A.State the null and alternative hypotheses to be tested and indicate whether the test is left-tailed, right-tailed or two-tailed.

B. List the conditions that should be met in order to proceed with the hypothesis test and explain why (or show how) they are met.

C.Compute the test statistic and p-value for the hypothesis test and sketch the distribution of the test statistic, if the null hypothesis is true. Identify - label and shade - the region(s) represented by the p-value. Show your calculation(s).

D.Make a statistical decision about the null hypothesis (i.e. fail to reject H0 or reject H0), using the p-value approach. Justify your answer.

E.Write your conclusion in the context of the problem.

***I NEED F AND G ANSWERED***

F.Suppose we were to instead use a confidence interval to test if the proportion of female graduates from the engineering school differs from 20%.

-What would be the confidence level?

-Construct the confidence interval and explain how it supports your decision/conclusion made in (d) and (e). Show your calculation(s).

G.Determine the critical value(s) for this hypothesis test and explain how you would use it to come to the same decision/conclusion.

Suppose N = 12 and r = 4. Compute the hypergeometric probabilities for the following values of n and x. If the calculations are not possible, please select "not possible" from below drop-downs, and enter 0 in fields.

a. n = 3, x = 2 (to 4 decimals).

b. n = 2, x = 2 (to 4 decimals).

c. n = 3, x = 0 (to 4 decimals).

d. n = 6, x = 3 (to 4 decimals).

e. n = 5, x = 5 (to 4 decimals).

Dear Students:

I have recently been employed by HMS Nautical Inc to work on their submarine program. I have only some basic data to work with and no idea how to use it to get the information I need.

Here is what I know. First, I know that our Subs have a maximum running depth of 500 feet below sea level. I also know that a sub functioning at acceptable levels should be able to reach maximum depth in 10 minutes. Finally I know that I need to multiply the decent by a factor of 5 to achieve an accurate model. I also have a chart that lists times and depths for the sub.

Finally, I know that the sub follows a quadratic model when it descends and then ascends.

I have been told that you will be able to take this data and make sense of it. I would like a model for the path of the submarine as it descends to its running depth and then returns to the surface. I want to be able to use this model to predict where the sub will be at any time during its decent/ascent cycle. I would also like to know after how many minutes I should expect the sub to breech the surface of the water again.

Please explain clearly how you came up with the model so that I can repeat the process for new additions to our fleet of submarines. I appreciate any help you can give me in this matter. I would like your response returned to me either as a business letter or a narrated PowerPoint presentation.

Sincerely,

Nemo Hook

HMS Nautical Inc.

A simple random sample with n=56 provided a sample mean of 22.5 and a sample standard deviation of 4.3.

a. Develop a 90% confidence interval for the population mean (to 1 decimal).

( , )

b. Develop a 95% confidence interval for the population mean (to 1 decimal).

( , )

c. Develop a 99% confidence interval for the population mean (to 1 decimal).

( , )

A. type of research design (between-subjects or within-subjects)

b. Define the dependent variable.

c. Define the independent variable and its levels

d. Fill in the missing cells of the ANOVA F-table

e. Determine the critical value at a .05 level of significant for the F-value and decide whether the ANOVA result is statistically significant (see Table C.3 in Appendix C of the textbook)

f. Calculate and interpret the eta-squared measure of effect size (if it is a between-subjects designs) or the partial eta-squared measure of effect size (if it is a within-subjects design).

Case 1: A teacher was curious about if his students’ test scores would be affected by how they learn about important science experiments. To look into the situation, he randomly assigned students to 1of 3 groups: students in the first group read about an experiment, students in the second group watched a video, and students in the third group actually conducted the experiment. At the end, all students were given a test about the experiment.

A psychologist is planning a study to test whether people are more likely to call events "natural" that are otherwise frequently attributed to "supernatural forces" if they have seen a particular film critical of "superstitions." Discuss the three things the psychologist should consider in order to maximize power for the planned study. Be specific, i.e., describe the statistical principles and explain how each works to increase power

suppose you just purchased a digital music player and have put 9 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of 9 songs is played once in random order. find the probability that among the first two songs played
(a) you like both of them. would it be unusual?
(b) you like neither of them?
(c) you like exactly one of them?
(d) redo (a)-(c) if a song can be replayed before all 9 songs are played.

In a study of

820820

randomly selected medical malpractice​ lawsuits, it was found that

492492

of them were dropped or dismissed. Use a

0.050.05

significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Which of the following is the hypothesis test to be​ conducted?

A.

Upper H 0 : p not equals 0.5H0: p≠0.5

Upper H 1 : p equals 0.5H1: p=0.5

B.

Upper H 0 : p less than 0.5H0: p<0.5

Upper H 1 : p equals 0.5H1: p=0.5

C.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p greater than 0.5H1: p>0.5

D.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p less than 0.5H1: p<0.5

E.

Upper H 0 : p greater than 0.5H0: p>0.5

Upper H 1 : p equals 0.5H1: p=0.5

F.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p not equals 0.5H1: p≠0.5

What is the test​ statistic?

zequals=nothing

​(Round to two decimal places as​ needed.)

What is the​ P-value?

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

What is the conclusion about the null​ hypothesis?

A.

RejectReject

the null hypothesis because the​ P-value is

less than or equal toless than or equal to

the significance​ level,

alphaα.

B.

Fail to rejectFail to reject

the null hypothesis because the​ P-value is

less than or equal toless than or equal to

the significance​ level,

alphaα.

C.

RejectReject

the null hypothesis because the​ P-value is

greater thangreater than

the significance​ level,

alphaα.

D.

Fail to rejectFail to reject

the null hypothesis because the​ P-value is

greater thangreater than

the significance​ level,

alphaα.

What is the final​ conclusion?

A.There

is notis not

sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

B.There

isis

sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

C.There

isis

sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

D.There

is notis not

sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table.

(a) Complete the F-table. (Round your values for MS and F to two decimal places.)

(b) Compute Tukey's HSD post hoc test and interpret the results. (Assume alpha equal to 0.05. Round your answer to two decimal places.)

The critical value is  for each pairwise comparison.

Which of the comparisons had significant differences? (Select all that apply.)

1)Recall following no delay was significantly different from recall following a half second delay.

2)Recall following no delay was significantly different from recall following a one second delay.

3)The null hypothesis of no difference should be retained because none of the pairwise comparisons demonstrate a significant difference.

4)Recall following a half second delay was significantly different from recall following a one second delay.

The owner of a local pizzeria has recently surveyed a random sample of n = 30 delivery times. He would now like to determine whether or not the mean delivery time (μ) is less than 20 minutes. Suppose he found that the sample mean time for delivery (X bar) was 17.5 minutes and the sample standard deviation was (s) 6 minutes. Assuming that the level of significance α = 0.05, please answer the following questions. 1. State your null and alternate hypotheses : 2. What is the value of test statistic? Please show all the relevant calculations. 3. What is the rejection criteria based on critical value approach? 4. What is the Statistical decision (i.e. reject /or do not reject the null hypothesis)? Provide justification for your decision.

1. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the dataset below and interpret what that means.

A)The correlation is -0.774 . There is a strong negative linear association between Exam 1 and Exam 2

B) The correlation is -0.774 . There is a weak negative linear association between Exam 1 and Exam 2 .

C)The correlation is 0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

D)The correlation is -0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

E)The correlation is 0.774 . There is a strong negative linear association between Exam 1 and Exam 2 .

2. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the data set below and interpret what that means.

A)The correlation is 0.147 . There is a weak negative linear association between Exam 1 and Exam 2 .

B)The correlation is -0.147 . There is a weak positive linear association between Exam 1 and Exam 2

C)The correlation is 0.147 . There is a strong positive linear association between Exam 1 and Exam 2

D)The correlation is -0.147 . There is a weak negative linear association between Exam 1 and Exam 2

E)