Question

: Level of significance, test statistic, and decision rule.

7. North River Health Clinic claims that the average waiting time for a patient is 20 minutes. A random sample of 6 patients showed a mean wait time of 23.2 minutes. At the .05 level of significance, does the sample show that the mean wait time is different from 20 minutes?

a. What is the level of significance?

b. What symbol do we use to represent the level of significance?

c. What does the level of significance tell us?

d. What type of error is this?

e. If we need stronger support for the statement we are attempting to support, do we use a higher or lower level of significance?

8. North River Health Clinic claims that the average waiting time for a patient is 20 minutes. A random sample of 6 patients showed a mean wait time of 23.2 minutes with a standard deviation of 4.9 minutes. At the .05 level of significance, we wish to test whether the mean wait time is different from 20 minutes.

a. What is the shape of the sampling distribution?

b. What is our test statistic?

9. A can of creamed corn is supposed to contain 16 ounces of product. The actual weight is a random variable whose standard deviation is known to be 0.25 ounce. If this is tested using a sample size of 60 cans,

a. What is the shape of the sampling distribution?

b. What test statistic would be used?

c. Based on the information in the textbook (page 290), what level of significance would you select?

10. After a losing season, there is a great uproar to fire the head football coach. In a random sample of 200 college alumni, 80 favor keeping the coach. You wish to test whether, at the .05 level of significance, the proportion who support the coach is less than 50%.

a. What is the shape of the sampling distribution?

b. What test statistic would be used?

Answer 1

7a) Level of significance = 0.05

b) Symbol do we use to represent the level of significance is alpha

c) The significance level is the probability of rejecting the null hypothesis when it is true.

d) Type I error

e) If we need stronger support for the statement we are attempting to support, do we use a higher level of significance.

8a) Shape of sampling distribution is approximately normally distributed.

b) t test statistic would be used.

degrees of freedom= n-1=6-1=5

The P-Value is .170495. The result is not significant because p > .05.

Decision: Fail to reject Null hypothesis H0.

9a ) Approximately normally distributed.

b) Since population standard deviation is known . We will use Z statistic for the testing.

10 a) Approximately normally distributed.

b) Since this is using proportions. Z tests statistic will be used.

NOTE: I HOPE THIS WILL HELP YOU. PLEASE DO COMMENT FOR ANY CONFUSION. Thank you