Match each scenario with the SINGLE MOST appropriate test. Each answer choice may be used once, more than once, or not at all. Assume all data collection is by random sampling unless the question suggests otherwise.

BE CLEAR AND NEAT, DON"T USE OTHER PEOPLE's Solutions for an UP VOTE!

A company that manufactures pavers used in residential landscaping. The company guarantees that the paver average weight is no more than 10kg. However, recently the company has received many complaints that the pavers are heavier than expected. In an effort to address the customers complaints, the quality control manager selected a random sample of 40 pavers. The average and standard deviation obtained from this sample are 10.3kg and 3.1 kg, respectively. At α = 0.10, can it be concluded the pavers average weight is higher than 10kg? Use the critical value/rejection point method.

Is it possible to figure out, WITHOUT THE USE OF GRAPH, if the sample of a data comes from Normal Distribution? If it is possible that by doing some kind of mathematical calculation we can find if a distribution is normal or not? If you could share some example(s), that would be great.

a. I want to know if the percentage of traffic accidents changes by day for a given week in Ephraim. What type of test would I do?

Group of answer choices

ANOVA

Chi squared GOF test

b.

1 Prop Z-test

Paired Sample t-test

2 Prop-Ztest

b.

I am interested in studying if College Major is related to living location preference (West Coast, East Coast, Non-coastal)

What type of test should I do after I gather students data?

Group of answer choices

Paired Sample t-test

ANOVA

2 -sample T-test

Chi Squared Test for independence

Linear Regression T-test

An independent sample experiment uses 25 participants in one group and 30 participants in the second group to compare the  two population means. What is the degrees of freedom used in this test ?  

a.

25

b.

24

c.

30

d.

29

A two-sample z-test for two population proportions is to be performed using the P-value approach. The null hypothesis is  and the alternative is . Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value.

A poll reported that 30% of 60 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 40 Canadians surveyed between the ages of 21 and 24, 25% had started saving for retirement

a.P-value = 0.5824; There is about a 58.24% chance that the two proportions are equal.

b. P-value = 0.1812; If there is no difference in the proportions, there is about a 18.12% chance of seeing the observed difference or larger by natural sampling variation

c. P-value = 0.2912; There is about a 24.96% chance that the two proportions are equal.

d. P-value = 0.2912; If there is no difference in the proportions, there is about a 24.96% chance of seeing the exact observed difference by natural sampling variation.

e. P-value = 0.5824; If there is no difference in the proportions, there is about a 58.24% chance of seeing the observed difference or larger by natural sampling variation.

Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations.

a. Write the null and alternative hypotheses for a test of homogeneity for this table.

H0: The proportion in each row is

the same/not the same

for all four populations.

H1: The proportion in each row is

not the same/the same

for all four populations.

b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true.

Round your answers to three decimal places, where required.

c. For α=0.025, find the critical value of χ2. Specify the rejection and nonrejection regions on the chi-square distribution curve.

Enter the exact answer from the chi-square distribution table.

χ2=

The rejection region is

on the right/on the left

of the critical value of χ2.

The nonrejection region is

on the right/on the left

of the critical value of χ2.

d. Find the value of the test statistic χ2.

Round your answer to three decimal places.

The value of the test statistic χ2 is .

e. Using α=0.025, would you reject the null hypothesis?

No./Yes.

An observational study of teams fishing for the red spiny lobster in a certain body of water was conducted and the results published in a science magazine. One of the variables of interest was the average distance separating

traps−called ​"trap ​spacing"minus−deployed by the same team of fishermen. Trap spacing measurements​ (in meters) for a sample of seven teams of fishermen are shown in the accompanying table. Of interest is the mean trap spacing for the population of red spiny lobster fishermen fishing in this body of water. Complete parts a through f below.

Date : 95, 99,106, 94,80,71, 87

a. Identify the target parameter for this study.

The target parameter for this study is

b. Compute a point estimate of the target parameter.

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

c. What is the problem with using the normal​ (z) statistic to find a confidence interval for the target​ parameter?

A.

The point estimate is too large to determine an accurate critical value.

B.

The​ z-statistic is used for confidence intervals for​ proportions, not means.

C.

The sample is small and the trap spacing population has unknown distribution and standard deviation.

D.

The point estimate is too large to determine an accurate​ z-statistic.

d. Find a​ 95% confidence interval for the target parameter.

left parenthesis nothing comma nothing right parenthesis,

​(Round to one decimal place as​ needed.)e. Give a practical interpretation of the​ interval, part

d.

Choose the correct answer below.

A.

There is a​ 95% probability that the true mean trap spacing distance is the mean of the interval.

B.

One can be​ 95% confident the true mean trap spacing distance lies within the above interval.

C.

One can be​ 95% confident the true mean trap spacing distance is one of the end points of the above interval.

D.

One can be​ 95% confident the true mean trap spacing distance lies at the mean of the above interval.

f. What conditions must be satisfied for the​ interval, part

d​,

to be​ valid? Select all that apply.

A.

The sample must be large enough that the Central Limit Theorem applies.

B.

The sample has a relative frequency distribution that is approximately normal.

C.

The sample is randomly selected from the population.

D.

The population has a relative frequency distribution that is approximately normal.

8.4 A city expressway using four lanes in each direction was studied to see whether drivers preferred to drive on the inside lanes. A total of 1,000 automobiles was observed during the heavy heavy morning traffic and their respective lanes were recorded. The results were as follow:

Do the data present sufficient evidence to indicate that some lanes are preferred over others? Use a = 0.05.

Given the following regression:

wagei = β0 + β1edui + β2experi + β3exper2i + β4exper3i + ui

wagei = -4.146156 + .5959117edui + .3191707experi - .0074834exper2i + .0000415exper3i + ui

Which order of polynomial (i.e., J) best describes the relationship between work experience and wages? Please explain your answer.

Using your model above), what is the marginal effect of experience when experience increases from 9 to 10 years? What is the marginal effect of experience when experience increases from 25 to 26 years? Does experience exhibit diminishing marginal returns?

Using your model above, find the average difference in wages between someone with 15 years of experience and someone with 23 years of experience, holding education constant. Is the difference statistically significant?

The heights of female students at a university follows Normal distribution with a mean 66 inches and a standard deviation 3 inches. A researcher randomly selects 36 female students from the university, surveys their heights and calculates a sample mean.

Now suppose that the population standard deviation is unknown. Also, the researcher calculate the sample standard deviation to be 3 inches.

a) What is the probability that the sample mean height is between 65 inches and 67 inches?

b) Instead of 36, suppose the sample size is 64 only for this sub-question. Then what is the probability that the sample mean height is between 65 inches and 67 inches?

Please answer in excel format if possible! And show the function! Thank youuuu

A poll surveyed people in six countries to assess attitudes toward a variety of alternate forms of energy. Suppose the data in the following table are a portion of the poll's findings concerning whether people favor or oppose the building of new nuclear power plants.

(a)

How large was the sample in this poll?

(b)

Conduct a hypothesis test to determine whether people's attitude toward building new nuclear power plants is independent of country.

State the null and alternative hypotheses.

H₀: The attitude toward building new nuclear power plants is mutually exclusive of the country.
H_a: The attitude toward building new nuclear power plants is not mutually exclusive of the country.

H₀: The attitude toward building new nuclear power plants is not independent of the country.
H_a: The attitude toward building new nuclear power plants is independent of the country.

H₀: The attitude toward building new nuclear power plants is independent of the country.
H_a: The attitude toward building new nuclear power plants is not independent of the country.

H₀: The attitude toward building new nuclear power plants is not mutually exclusive of the country.
H_a: The attitude toward building new nuclear power plants is mutually exclusive of the country.

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

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

p-value =

State your conclusion.

Do not reject H₀. We conclude that the attitude toward building new nuclear power plants is not independent of the country.

Reject H₀. We conclude that the attitude toward building new nuclear power plants is not independent of the country.   

Do not reject H₀. We cannot conclude that the attitude toward building new nuclear power plants is independent of the country.

Reject H₀. We cannot conclude that the attitude toward building new nuclear power plants is independent of the country.

(c)

Using the percentage of respondents who "strongly favor" and "favor more than oppose," which country has the most favorable attitude toward building new nuclear power plants?

Great Britain or France or Italy or Spain or Germany or United States

Which country has the least favorable attitude?

Great Britain or France or Italy or Spain or Germany or United States

1. Consider the following data from two independent groups:

Liberals: 4, 1, 4, 2                                     Conservatives: 5, 1, 3, 3, 4

1. Calculate the t statistic

2. Calculate the 95% confidence interval.

3. Calculate Cohen’s d.

The average “moviegoer” sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 40 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. At the 0.05 level of significance, can it be concluded that this represents a difference from the national average?

STEP 1. State the null and alternate hypothesis

The hypotheses are  (Enter an UPPER CASE Letter Only.)

STEP 2. State the critical value(s). Enter the appropriate letter.

z =

STEP 3. Calculate the test value

z =

STEP 4. Make the decision by rejecting or not rejecting the null hypothesis. Since the test value falls in the non-rejection region, we do not reject the null hypothesis.

Conclusion 1. Reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is not different from 8.5.

Conclusion 2. Reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is different from 8.5.

Conclusion 3. Do not reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is different from 8.5.

Conclusion 4. Do not reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is 8.5.

(Enter a number only from the list 1, 2, 3, or 4)

Why do I keep getting the error "More columns than column names" when trying to import the following data into R Studio?:

PRICE   YEARSOLD   MILES   COLOR   TITLESTATUS   TRANSMISSION  
4500   11   170000   SILVER   CLEAN   MANUAL          
34590   1   2000   SILVER   CLEAN   AUTOMATIC  
4500   14   203000   SILVER   CLEAN   AUTOMATIC  
11990   6   53337   GRAY   CLEAN   AUTOMATIC  
10490   8   36543   RED   CLEAN   AUTOMATIC  
2800   19   208000   SILVER   CLEAN   MANUAL      
1200   19   244000   SILVER   CLEAN   AUTOMATIC  
2500   19   208000   BROWN   CLEAN   AUTOMATIC  
2000   15   190000   GREEN   CLEAN   AUTOMATIC  
39990   3   31252   RED   CLEAN   AUTOMATIC  
16590   3   31644   BLUE   CLEAN   AUTOMATIC  
9300   2   65000   WHITE   SALVAGE   AUTOMATIC  
1800   17   190000   BLACK   CLEAN   AUTOMATIC  
16900   49   27000   GREEN   CLEAN   MANUAL  
14900   62   1000   GREEN   CLEAN   MANUAL  
16900   38   91000   BROWN   CLEAN   MANUAL  
15900   40   106229   SILVER   CLEAN   AUTOMATIC  
15900   46   20000   GRAY   CLEAN   MANUAL  
29900   19   47000   WHITE   CLEAN   MANUAL  
9900   59   4200   GREEN   CLEAN   MANUAL  
14900   13   98843   BLACK   CLEAN   AUTOMATIC  
13900   44   82000   GREEN   CLEAN   MANUAL  
32900   29   134800   WHITE   CLEAN   MANUAL  
21721   7   100071   BLACK   CLEAN   AUTOMATIC  
19900   54   5000   BLUE   CLEAN   AUTOMATIC  
18900   44   78149   BROWN   CLEAN   MANUAL  
35900   26   105000   GRAY   CLEAN   MANUAL  
34162   2   26649   SILVER   CLEAN   AUTOMATIC  
12967   3   20083   WHITE   CLEAN   AUTOMATIC  
29900   26   134000   WHITE   CLEAN   MANUAL  
11900   68   33000   GREEN   CLEAN   MANUAL  
19174   2   21780   SILVER   CLEAN   AUTOMATIC  
16429   3   25690   BLACK   CLEAN   AUTOMATIC  
53095   2   25320   WHITE   CLEAN   AUTOMATIC  
27900   33   67000   BLUE   CLEAN   MANUAL  
16401   1   32756   BLACK   CLEAN   AUTOMATIC  
16900   40   30000   SILVER   CLEAN   MANUAL  
10179   5   56000   ORANGE   CLEAN   AUTOMATIC  
34900   42   5000   BLUE   CLEAN   MANUAL
51900   57   100   BURGUNDY   CLEAN   MANUAL