Historical data indicate that the standard deviation of a process is 6.4. a. A recent sample of size 27 produced a variance of 61.9. Test to determine if the variance has increased using a significance level of 0.05. b. A recent sample of size 9 produced a variance of 8.64. Test to determine if the variance has decreased using a significance level of 0.025. c. A recent sample of size 15 produced a variance of 56.9. Test to determine if the variance has changed using a significance level of 0.10. a. Formulate the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. Ho: o2 2 ОВ. Họ: OC. Ho: o? O D. Ho: o2 = HA: o² = Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. Ifx? > xổos = O B. If? > xổ.025 OC. If? HA o? < Oc. O D. Ho o2 = Но HA: o2 = HA: o2 Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. If x < xố.975 reject the null hypothesis. O B. Ifx > xổ.025 reject the null hypothesis. O C. Ifx? > xảo125 =, or if x? < x3 9876 reject the null hypothesis.
Historical data indicate that the standard deviation of a process is 6.4. a. A recent sample of size 27 produced a variance of 61.9. Test to determine if the variance has increased using a significance level of 0.05. b. A recent sample of size 9 produced a variance of 8.64. Test to determine if the variance has decreased using a significance level of 0.025. c. A recent sample of size 15 produced a variance of 56.9. Test to determine if the variance has changed using a significance level of 0.10. a. Formulate the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. Ho: o2 2 ОВ. Họ: OC. Ho: o? O D. Ho: o2 = HA: o² = Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. Ifx? > xổos = O B. If? > xổ.025 OC. If? HA o? < Oc. O D. Ho o2 = Но HA: o2 = HA: o2 Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. If x < xố.975 reject the null hypothesis. O B. Ifx > xổ.025 reject the null hypothesis. O C. Ifx? > xảo125 =, or if x? < x3 9876 reject the null hypothesis.
MATLAB: An Introduction with Applications
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Please make sure to do the rounding when it's needed.

Transcribed Image Text:Historical data indicate that the standard deviation of a process is 6.4.
a. A recent sample of size 27 produced a variance of 61.9. Test to determine if the variance has increased using a significance level of 0.05.
b. A recent sample of size 9 produced a variance of 8.64. Test to determine if the variance has decreased using a significance level of 0.025.
C. A recent sample of size 15 produced a variance of 56.9. Test to determine if the variance has changed using a significance level of 0.10.
a. Formulate the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
O A. Ho: o2 2
ОВ. Но-
HA: o2<
HA: 02>
OC.
Но
O D. Ho: o2 =
HA: o2 =
HA
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. Ifx? > xổ.05
O B. Ifx > xổ.025
O C. Ifx < xổ 95
reject the null hypothesis.
or if x < x6 975 =|
reject the null hypothesis.
reject the null hypothesis.
Compute the test statistic.
(Round to two decimal places as needed.)
Reach a decision and draw a conclusion.
Because x is
the rejection region,
v the null hypothesis and
that the variance of the process has
b. Formulate the null and alternative hypotheses.
(Type integers or decimals. Do not round.)
O A. Ho: o2s
ОВ. Но-
HA: o2>
HA: o2 <
Oc.
Но
O D. Ho: o2 =
Ha: o2
HA: o² ±
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. If x? < xổ 975 =
O B. If y > xo.025
reject the null hypothesis.
reject the null hypothesis.
OC. If x? > xổ.0125
or if x? < xổ 9875
reject the null hypothesis.

Transcribed Image Text:Compute the test statistic.
(Round to two decimal places as needed.)
Reach a decision and draw a conclusion.
Because x is
v the rejection region,
v the null hypothesis and
V that the variance of the process has
c. Formulate the null and alternative hypotheses.
(Type integers or decimals. Do not round.)
O A. Ho: o? +
O B. Ho: o? 2
HA: o2 =
O C. Ho: o2 =
O D. Ho: o s
HA:
HA: 02
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. If x? > xổ 10
O B. If x? > xổ.05
OC. If? < xổ 90
reject the null hypothesis.
, or if x2 <
reject the null hypothesis.
reject the null hypothesis.
Compute the test statistic.
(Round to two decimal places as needed.)
Reach a decision and draw a conclusion.
Because x is
v the rejection region,
V the null hypothesis and
that the variance of the process has
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