funeral homes reported revenue , statistics homework help

4. According to a recent survey of the 19,000 funeral homes of a certain nation, funeral homes collected an average of $6,600 per full-service funeral last year. A random sample of 36

funeral homes reported revenue data for the current year. Among other measures, each reported its average fee for a full-service funeral. These data (in thousands of dollars) are shown in the accompanying table. Complete parts a through c below.

7.2
9.2
4.9
8.3
7.4
6.5
6.1
8.7
6.4
11.6
6.6
5.5
6.9
5.8
5.1
6.6
6.1
7.4
7.2
6.3
6.3
5.6
7.6
5.5
9.6
7.1
8.1
5.1
6.5
5.5
6.9
7.8
6.2
4.8
7.5
6.8

• What are the appropriate null and alternative hypotheses to test whether the average full-service fee of funeral homes this year exceeds $6,600?
• Conduct the test at a=0.10 Do the sample data provide sufficient evidence to conclude that the average fee this year is higher than last year?
• Find the p-value. P=_______
• State the result of this test.

Find the test statistic z= ____________

(Round to two decimal places as needed.)

A. H 0 is not rejected. There is insufficient evidence at the alpha equals 0.10

level of significance to conclude that the average fee this year is higher than last year.

B. H 0 is rejected. There is insufficient evidence at the alpha equals 0.10

level of significance to conclude that the average fee this year is higher than last year.

C. H 0 is not rejected. There is sufficient evidence at the alpha equals 0.10

level of significance to conclude that the average fee this year is higher than last year.

D. H 0 is rejected. There is sufficient evidence at the alpha equals 0.10 level of significance to conclude that the average fee this year is higher than last year.

In conducting the test, was it necessary to assume that the population of average full-service fees was normally distributed? Justify your answer.

A.No, because the sample size is less than 40.

B.No, because the sample size is greater than 30.

C.Yes, because the sample size is less than 40.

D.Yes, because the sample size is greater than 30.

5. In a representative sample of 867 coffee growers from Country X, 406 growers were certified to sell to organic coffee markets while 91 growers were transitioning to become organic certified. In Country Y, 61% of coffee growers are organic certified. Is there evidence to indicate that fewer than 61% of the coffee growers in Country X are either organic certified or transitioning to become organic certified? State your conclusion so that there is only a 10% chance of making a Type I error.

a.What are the hypotheses for this test?

b.Calculate the value of the z-statistic for this test.

c. Calculate the p-value for this test.

What is the conclusion of the test?

▼

Reject or do not reject

the null hypothesis because the p-value is

▼

Greater than or less than

the the probability of making a Type I error. Therefore, there is

▼

Insufficient or sufficient

evidence to indicate that fewer than 61 % of the coffee growers in Country X are either organic certified or transitioning to become organic certified.

6. A recent study investigated tractor skidding distances along a road in a forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. The data are given in the accompanying table. A logger working on the road claims that the mean skidding distance is at least 425 meters. Is there sufficient evidence to refute this claim? Use alphaαequals=0.050

State the hypotheses to test the claim that the mean skidding distance is at least 425 meters. Choose the correct answer below.

480
342
465
197
293
406
441
590
432
535
385
291
179
253
281
390
317
314
139
414

a. State the hypotheses to test the claim that the mean skidding distance is at least 425

meters.

b. Calculate the value of the test statistic.

c. Calculate the p-value.

d. Make the appropriate conclusion.

A.Reject H0. There is sufficient evidence at the a=0.05 level of significance to conclude that the true mean skidding distance is not at least 425meters.

B.Reject H0. There is insufficient evidence at the a=0.05 level of significance to conclude that the true mean skidding distance is not at least 425meters.

C.Do not reject H0. There is sufficient evidence at the a=0.05 level of significance to conclude that the true mean skidding distance is not at least 425meters.

D.Do not rejectH0. There is insufficient evidence at the a=0.05 level of significance to conclude that the true mean skidding distance is not at least 425meters.