A manager is interested in determining if the population standard deviation has dropped below 128. Based on a sample of n = 23 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 115. Determine the null and alternative hypotheses. ОА. Но: о2 < 128 HA: 02 2 128 О В. Но: о2 < 16,384 HA: o2 2 16,384 ОС. Но: о2 2 16,384 На: о2 < 16,384 O D. Ho: o2 = 128 HA: 02 128 State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) O A. If the test statistic, x > x²,2 = reject H, or if the test statistic, x² xá = reject Ho. Otherwise, do not reject Ho- Find the test statistic, 2. (Round to two decimal places as needed.) Choose the correct conclusion below. O A. Do not reject Ho. There is insufficient evidence that the population standard deviation is less than 128. O B. Do not reject Ho. There is sufficient evidence that the population standard deviation is less than 128. OC. Reject Ho. There is sufficient evidence that the population standard deviation is less than 128. O D. Reject Ho: There is insufficient evidence that the population standard deviation is less than 128.
A manager is interested in determining if the population standard deviation has dropped below 128. Based on a sample of n = 23 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 115. Determine the null and alternative hypotheses. ОА. Но: о2 < 128 HA: 02 2 128 О В. Но: о2 < 16,384 HA: o2 2 16,384 ОС. Но: о2 2 16,384 На: о2 < 16,384 O D. Ho: o2 = 128 HA: 02 128 State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) O A. If the test statistic, x > x²,2 = reject H, or if the test statistic, x² xá = reject Ho. Otherwise, do not reject Ho- Find the test statistic, 2. (Round to two decimal places as needed.) Choose the correct conclusion below. O A. Do not reject Ho. There is insufficient evidence that the population standard deviation is less than 128. O B. Do not reject Ho. There is sufficient evidence that the population standard deviation is less than 128. OC. Reject Ho. There is sufficient evidence that the population standard deviation is less than 128. O D. Reject Ho: There is insufficient evidence that the population standard deviation is less than 128.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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![A manager is interested in determining if the population standard deviation has dropped below 128. Based on a sample of n= 23 items selected randomly from the population,
conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 115.
Determine the null and alternative hypotheses.
O A. Ho: o2 < 128
На: а2 2 128
О В. Но о2 < 16,384
HA: 02 2 16,384
О с. Но: о2 > 16,384
HA: 02 < 16,384
O D. Ho: o2 = 128
HA: 02 + 128
State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
(Round to four decimal places as needed.)
O A. If the test statistic, x2 > x212
reject H, or if the test statistic, x <x4 -a/2
reject Ho. Otherwise, do not reject Ho.
O B. If the test statistic, x <x-a
reject Ho. Otherwise, do not reject Ho.
OC. If the test statistic, y2 > x =
reject Ho. Otherwise, do not reject Ho-
Find the test statistic, x
(Round to two decimal places as needed.)
Choose the correct conclusion below.
O A. Do not reject Ho. There is insufficient evidence that the population standard deviation is less than 128.
O B. Do not reject Ho. There is sufficient evidence that the population standard deviation is less than 128.
O C. Reject Ho. There is sufficient evidence that the population standard deviation is less than 128.
O D. Reject Ho. There is insufficient evidence that the population standard deviation is less than 128.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc08ed3f6-a324-46fa-a6bb-f36b7e7df867%2F7551c513-85ef-4847-b539-9ad0d97fb26d%2Fixyo71f_processed.png&w=3840&q=75)
Transcribed Image Text:A manager is interested in determining if the population standard deviation has dropped below 128. Based on a sample of n= 23 items selected randomly from the population,
conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 115.
Determine the null and alternative hypotheses.
O A. Ho: o2 < 128
На: а2 2 128
О В. Но о2 < 16,384
HA: 02 2 16,384
О с. Но: о2 > 16,384
HA: 02 < 16,384
O D. Ho: o2 = 128
HA: 02 + 128
State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
(Round to four decimal places as needed.)
O A. If the test statistic, x2 > x212
reject H, or if the test statistic, x <x4 -a/2
reject Ho. Otherwise, do not reject Ho.
O B. If the test statistic, x <x-a
reject Ho. Otherwise, do not reject Ho.
OC. If the test statistic, y2 > x =
reject Ho. Otherwise, do not reject Ho-
Find the test statistic, x
(Round to two decimal places as needed.)
Choose the correct conclusion below.
O A. Do not reject Ho. There is insufficient evidence that the population standard deviation is less than 128.
O B. Do not reject Ho. There is sufficient evidence that the population standard deviation is less than 128.
O C. Reject Ho. There is sufficient evidence that the population standard deviation is less than 128.
O D. Reject Ho. There is insufficient evidence that the population standard deviation is less than 128.
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