6) Cholesterol measurements from 54 vegetarians and 51 nonvegetarians yield the following data:

Do vegetarians have lower cholesterol levels than nonvegetarians? Let ? = .01.

a)State the null and alternative hypotheses

b)Choose the appropriate statistical procedure (independent or paired t-test)

c)Identify the level of significance and corresponding critical value

d)Calculate t

e)Express your results in terms of p-values (p < or p > ?)

f)Determine whether your results are significant

g)State in one or two sentences your conclusions

Worked out by hand- not with a computer program.

The city of Laguna Beach operates two public parking lots. The one on Ocean Drive can accommodate up to 125 cars and the one on Rio Rancho can accommodate up to 130 cars. City planners are considering both increasing the size of the lots and changing the fee structure. To begin, the Planning Office would like some information on the number of cars in the lots at various times of the day. A junior planner officer is assigned the task of visiting the two lots at random times of the day and evening and counting the number of cars in the lot. The study lasted over a period of one month. Below is the number of cars in the lots for 25 visits of the Ocean Drive lot and 28 visits of the Rio Rancho lot. Assume the population standard deviation is equal and use an alpha value of 0.01 to determine if it is reasonable to conclude that there is a difference in the mean number of cars in the two lots?

A. What is the null hypothesis statement for this problem?

B. What is the alternative hypothesis statement for this problem?

C. What is alpha for this analysis?

D. What is the most appropriate test for this problem? (choose one of the following)

a. t-Test: Paired Two Sample for Means

b. t-Test: Two-Sampled Assuming Equal Variances

c. t-Test: Two-Sample Assuming Unequal Variances

d. z-Test: Two Sample for Means

E. What is the value of the test statistic for the most appropriate analysis?

F. What is the lower bound value of the critical statistic? If one does not exist (i.e. is not applicable for this type analysis), document N/A as your response.

G. What is the upper bound value of the critical statistic? If one does not exist (i.e. is not applicable for this type analysis), document N/A as your response.

H. It is reasonable to conclude that there is a difference in the mean number of cars in the two lots? (choose one of the following) a. Yes

b. No

I. What is the p-value for this analysis? (Hint: Use this value to double check your conclusion)

Use the given data set to complete parts​ (a) through​ (c) below.​ Use alpha=​0.05.)

x   y
10   7.46
8   6.76
13   12.74
9   7.11
11   7.81
14   8.83
6   6.08
4   5.39
12   8.16
7   6.41
5   5.72

a. Construct a scatterplot. Choose the correct graph below.

A.

04812160481216xy

A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points are plotted with approximate coordinates as follows: (4, 6); (5, 5.6); (6, 5); (7, 4.6); (8, 4); (9, 3.6); (10, 3); (11, 2.6); (12, 2); (13, 1.6); (14, 1).

B.

04812160481216xy

A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points are plotted with approximate coordinates as follows: (4, 1); (5, 1.4); (6, 1.6); (7, 2); (8, 2.4); (9, 3); (10, 3.6); (11, 4.2); (12, 4.8); (13, 6); (14, 8).

C.

04812160481216xy

A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with approximate coordinates as follows: (4, 3.2); (6, 6.2); (7, 7.2); (8, 8.2); (9, 8.8); (10, 9.2); (11, 9.2); (12, 9.2); (13, 8.8); (14, 8.2).

D.

04812160481216xy

A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 16 in increments of 2. Eleven points are plotted with approximate coordinates as follows: (4, 5.4); (5, 5.8); (6, 6); (7, 6.4); (8, 6.8); (9, 7.2); (10, 7.4); (11, 7.8); (12, 8.2); (13, 12.8); (14, 8.8).

b. Find the linear correlation​ coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.

The linear correlation coefficient is

requals=nothing.

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

Using the linear correlation coefficient found in the previous​ step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.

A.There is

sufficientsufficient

evidence to support the claim of a nonlinear correlation between the two variables.

B.There is

insufficientinsufficient

evidence to support the claim of a nonlinear correlation between the two variables.

C.There is

sufficientsufficient

evidence to support the claim of a linear correlation between the two variables.

D.There is

insufficientinsufficient

evidence to support the claim of a linear correlation between the two variables.

c. Identify the feature of the data that would be missed if part​ (b) was completed without constructing the scatterplot. Choose the correct answer below.

A.

The scatterplot reveals a perfect​ straight-line pattern, except for the presence of one outlier.

B.

The scatterplot reveals a perfect​ straight-line pattern and does not contain any outliers.

C.

The scatterplot does not reveal a perfect​ straight-line pattern.

D.

The scatterplot does not reveal a perfect​ straight-line pattern, and contains one outlier.

Click to select your answer(s).

6. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 38 preferred the Half Pint lager, 32 preferred the XXX lager, and 10 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that the production of the premium lagers matches these consumer preferences using a 0.05 level of significance.

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

- State the decision to retain or reject the null hypothesis.

7. A psychologist studying addiction tests whether cravings for cocaine and relapse are independent. The following table lists the observed frequencies in the small sample of people who use drugs.

Part A) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)

Decide whether to retain or reject the null hypothesis.

Part B) Compute effect size using ϕ and Cramer's V. Hint: Both should give the same estimate of effect size. (If necessary, round your intermediate steps to two or more decimal places. Round your answers to two decimal places.)

Juanita is a college student who lives in Miami and provides math tutoring for extra cash. At a wage of $40 per hour, she is willing to tutor 7 hours per week. At $50 per hour, she is willing to tutor 10 hours per week. Using the midpoint method, the elasticity of Juanita's labor supply between the wages of $40 and $50 per hour is approximately , which means that Juanita's supply of labor over this wage range is .

Please write down your response after reading the paragraph. (At least 5 sentences long. 150-200 words)

While it may be obvious to some that saving more lives would be minimizing total harm, it becomes difficult when we begin to consider the value of each life at risk. We cannot necessarily say the value of the driver's life is less than the lives of the pedestrians simply because of quantity. If the driverless car kills the driver, then it will be doing good for those pedestrians, not the driver, and vice versa. However, the challenge to our morality comes into play when we determine what the car's primary goal should be, to save the driver, or to save those in the surroundings. Right now, we all buy cars that will be safest for us as drivers and passengers, and I am not sure why this would change with the implementation of driverless cars. If these cars were to be implemented in society not everyone would have one, for one reason or another. Let us say that the driverless car runs a red light and crashes into a vehicle driven by a mother with her child in the back seat. If these two cars were driven by people, the person who ran the red light would clearly be punished. But now we are faced with a situation where blame cannot be directly placed on anyone. The issue now becomes, how can we get justice for the people who are impacted by the accidents of these driverless cars? While it may seem to be such innovative technology that makes life easier, the more our technology advances, the more we must advance to keep up with it and the issues that come as well.

A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually less than the reported percentage. A random sample of 130 found that 20% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim

Step 1 State the null and alternative hypotheses.

Step 2 Find the value of the test statistic. Round your answer to two decimal places.

Step 3 Specify if it is one tailed or two tailed

Step 4 Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 Make the decision to reject or fail to reject the null hypothesis.

Step 6 State the conclusion of the hypothesis test.

Duncan coordinates the support of older people in community care. He is preparing feedback forms for service providers to complete when they provide service to people in their care. Service providers include day programs for older people, personal care support, delivered meals, home maintenance, respite services, transport, allied health and nursing. People that the organisation supports, need any combination of these services. The purpose of the feedback forms is to make sure the service being delivered meets the person’s needs. It is also to check that the individualised care plans are effective in their delivery.

1.What are two questions Duncan could include in his feedback form to obtain information about the effectiveness of the individualised plan? (Approx. 15 words

2.How could Duncan explain the mechanisms for providing feedback on the individualised plan to other service providers? What are two explanations that he must provide? (Approx. 20 words

3. What is a service agreement and how could Duncan use it to explain the mechanisms of providing feedback to all providers? (Approx. 80 words)

4. Why should Duncan seek feedback about the effectiveness of the individualised plan from one of the older people he supports or their advocate? (Approx. 50 words).

5. Explain two ways that Duncan can seek feedback about the effectiveness of the individualised plan from one of the older people he supports. (Approx. 40 words).

6) One of the people Duncan supports is having trouble reading. They still drive, and Duncan is worried that their eyesight may affect their driving ability. How could Duncan report to the supervising health professional about this issue? (Approx. 40 words).

In a study of the effectiveness of physical exercise in weight reduction, 12 subjects followed a program of physical exercise for two months. Their weights (in pounds) before and after this program are shown in the table. Use Wilcoxon's signed-ranks test and a significance level of 0.05 to test the claim that the exercise program has no effect on weight.

What would be the signed rank for the column with values of 175 and 168?

How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity: 58 52 68 86 72 66 97 89 84 91 91 92 66 68 87 86 73 61 70 75 72 73 85 84 90 57 77 76 84 93 58 47 (a) Make a stem-and-leaf display for these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Longevity of Cowboys 4 5 6 7 8 9 7 2788 16688 02233567 44456679 011237 (b) Consider the following quote from Baron von Richthofen in his Cattle Raising on the Plains of North America: "Cowboys are to be found among the sons of the best families. The truth is probably that most were not a drunken, gambling lot, quick to draw and fire their pistols." Does the data distribution of longevity lend credence to this quote? No, these cowboys did not live long lives, as evidenced by the high frequency of leaves for stems 4 and 5 (i.e., 40- and 50-year-olds). Sort of, these cowboys lived somewhat long lives, as evidenced by the high frequency of leaves for stems 5 and 6 (i.e., 50- and 60-year-olds). Yes, these cowboys certainly lived long lives, as evidenced by the high frequency of leaves for stems 7, 8, and 9 (i.e., 70-, 80-, and 90-year-olds). 6.–/2.85 points BBUnderStat12 2.1.017. Ask Your Teacher My Notes Question Part Points Certain kinds of tumors tend to recur. The following data represent the lengths of time, in months, for a tumor to recur after chemotherapy (Reference: D.P. Byar, Journal of Urology, Vol. 10, pp. 556-561). 19 18 17 1 21 22 54 46 25 49 50 1 59 39 43 39 5 9 38 18 14 45 54 59 46 50 29 12 19 36 38 40 43 41 10 50 41 25 19 39 27 20 For this problem, use five classes. (a) Find the class width. 12 (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency 1 − 12 13 − 24 25 − 36 37 − 48 49 − 60 0.5 − 12.5 12.5 − 24.5 24.5 − 36.5 36.5 − 48.5 48.5 − 60.5 6.5 18.5 30.5 42.5 54.5 6 10 5 13 8 0.14 0.24 0.12 0.31 0.19 6 10 21 34 42 (c) Draw a histogram. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot (d) Draw a relative-frequency histogram. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot (e) Categorize the basic distribution shape. uniform mound-shaped symmetrical bimodal skewed left skewed right