A webpage's Design A is to be compared with Design B. The number of clicks on an ad is counted for 15 days for each design. The measured average and standard deviation of the daily number of clicks are given in the table below: Design A Design B Average 11 18 Standard deviation Assume the daily number of dicks is normally and independently distributed. Assume the true variances of the daily number of clicks for both designs are equal. Use a = 0.05. Conduct a hypothesis test to determine if the mean daily number of clicks for Design A, HA, Is smaller than that for Design B, HB- a. Is this a two-sided or one-sided test? Write "wo" or "one". b. How many degrees of freedom are associated with the test statistic? c. What is the pooled estimate of the common variance for both designs? Round to 2 decimal places.

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A webpage's Design A is to be compared with Design B. The number of clicks on an
ad is counted for 15 days for each design. The measured average and standard
deviation of the daily number of clicks are given in the table below:
Design A
Design B
Average
11
18
Standard deviation
Assume the daily number of dicks is normally and independently distributed. Assume
the true variances of the daily number of clicks for both designs are equal. Use a =
0.05.
Conduct a hypothesis test to determine if the mean daily number of clicks for Design
A. HA. is smaller than that for Design B, B-
a. Is this a two-sided or one-sided test?
Write "two" or "one".
b. How many degrees of freedom are associated with the test statistic?
c. What is the pooled estimate of the common variance for both designs?
Round to 2 decimal places.
d. What is the value of the test statistic?
. Round to 2 decimal
places.
e. Find the best bounds on the P-value of this test using an appropriate appendix
< P-value <
. Round to 3 decimal
table.
places.
f. Find the critical value for this test, against which the test statistic should be
compared.
Round to 3 decimal places. (Note: the sign of the
critical value should be the same as that of the test statistic.)
9. Find the confidence bound on uA - Ha to conduct this test.
Round to 2 decimal places.
h. Based on the given evidence, should you reject the null hypothesis?
Write "reject or "not reject".
Transcribed Image Text:A webpage's Design A is to be compared with Design B. The number of clicks on an ad is counted for 15 days for each design. The measured average and standard deviation of the daily number of clicks are given in the table below: Design A Design B Average 11 18 Standard deviation Assume the daily number of dicks is normally and independently distributed. Assume the true variances of the daily number of clicks for both designs are equal. Use a = 0.05. Conduct a hypothesis test to determine if the mean daily number of clicks for Design A. HA. is smaller than that for Design B, B- a. Is this a two-sided or one-sided test? Write "two" or "one". b. How many degrees of freedom are associated with the test statistic? c. What is the pooled estimate of the common variance for both designs? Round to 2 decimal places. d. What is the value of the test statistic? . Round to 2 decimal places. e. Find the best bounds on the P-value of this test using an appropriate appendix < P-value < . Round to 3 decimal table. places. f. Find the critical value for this test, against which the test statistic should be compared. Round to 3 decimal places. (Note: the sign of the critical value should be the same as that of the test statistic.) 9. Find the confidence bound on uA - Ha to conduct this test. Round to 2 decimal places. h. Based on the given evidence, should you reject the null hypothesis? Write "reject or "not reject".
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