Historical data indicate that the standard deviation of a process is 6.7. a. A recent sample of size 28 produced a variance of 67.2. 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 7.65. Test to determine if the variance has decreased using a significance level of 0.025. c. A recent sample of size 18 produced a variance of 63.7. Test to determine if the variance has changed using a significance level of 0.10.

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Historical data indicate that the standard deviation of a process is 6.7.
a. A recent sample of size 28 produced a variance of 67.2. 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 7.65. Test to determine if the variance has decreased using a significance level of 0.025.
c. A recent sample of size 18 produced a variance of 63.7. 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 s
O B. Ho: o 2
HA: o2
HA: o <
O C. Ho: o2 =
O D. Ho: o2 +
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. Ifx? < xổ 95
O B. If x? > xổ 025 = I, or if x? < xổ.975 =
OC. Ifx? > xổ.o5
reject the null hypothesis.
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
V that the variance of the process has
b. Formulate the null and alternative hypotheses.
(Type integers or decimals. Do not round.)
O A.
Но
o2 =
OB.
Ho: o2
HA: 0?
HA: o? <
Oc.
Но
O D. Ho: o? +
HA: o2>
HA: o? =
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. If x? > xổ.025
O B. If x > xổ.0125
OC. Ifx < x6.975
reject the null hypothesis.
, or if x? < xo.9875
reject the null hypothesis.
reject the null hypothesis.
Transcribed Image Text:Historical data indicate that the standard deviation of a process is 6.7. a. A recent sample of size 28 produced a variance of 67.2. 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 7.65. Test to determine if the variance has decreased using a significance level of 0.025. c. A recent sample of size 18 produced a variance of 63.7. 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 s O B. Ho: o 2 HA: o2 HA: o < O C. Ho: o2 = O D. Ho: o2 + Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. Ifx? < xổ 95 O B. If x? > xổ 025 = I, or if x? < xổ.975 = OC. Ifx? > xổ.o5 reject the null hypothesis. 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 V that the variance of the process has b. Formulate the null and alternative hypotheses. (Type integers or decimals. Do not round.) O A. Но o2 = OB. Ho: o2 HA: 0? HA: o? < Oc. Но O D. Ho: o? + HA: o2> HA: o? = Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. If x? > xổ.025 O B. If x > xổ.0125 OC. Ifx < x6.975 reject the null hypothesis. , or if x? < xo.9875 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
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: o2+
OB.
Họ:
HA
o2 =
HA: o?>
O C. Ho: o2 =
OD.
Но
НА
Construct the rejection region and define the decision rule.
(Round to two decimal places as needed.)
O A. Ifx? > xổ 10
O B. If x? > x6.05
reject the null hypothesis.
or if x? < x6 95 -, reject the null hypothesis.
%3D
0.95
OC. Ifx? <xổ,90
reject the null hypothesis.
Compute the test statistic.
(Round to two decimal places as needed.)
Reach a decision and draw a conclusion.
Because x s
v the rejection region,
v the null hypothesis and
that the variance of the process has
IS
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: o2+ OB. Họ: HA o2 = HA: o?> O C. Ho: o2 = OD. Но НА Construct the rejection region and define the decision rule. (Round to two decimal places as needed.) O A. Ifx? > xổ 10 O B. If x? > x6.05 reject the null hypothesis. or if x? < x6 95 -, reject the null hypothesis. %3D 0.95 OC. Ifx? <xổ,90 reject the null hypothesis. Compute the test statistic. (Round to two decimal places as needed.) Reach a decision and draw a conclusion. Because x s v the rejection region, v the null hypothesis and that the variance of the process has IS
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