The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from opulations having normal distributions. Use a 0.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words poken in a day by women. n S Men 185 211 15,667.8 16,215.3 8,632.7 7,301.6 Women What are the null and alternative hypotheses? OB. A. H₂:0² #0²2 H₁:0² = 0² H₁:0² = 0²/ H₁:0² > 0²/2 C. H₂:0² = 0²/2 H₁:0² 70²2 OD. H₂:0² = 0²/ H₁:0² <0²2 dentify the test statistic. "= (Round to two decimal places as needed.) se technology to identify the P-value. he P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? OA. Reject Ho. There is insufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. OB. Reject Ho. There is sufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. OC. Fail to reject Ho. There is insufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. OD. Fail to reject Ho. There is sufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.

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The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from
populations having normal distributions. Use a 0.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words
spoken in a day by women.
n
X
S
Men
Women
185
211
15,667.8
16,215.3
8,632.7
7,301.6
What are the null and alternative hypotheses?
OA. Ho₂:0² #0²₂2
B. H₂:0² = 0²/2
H₁:0² > 0²
H₁ : 0 ²₁2 = 0²/2
OC. H₂ : 0 ²₁2 = 0²/2
OD. H₂:0² = 0²/22
H₁:0² <0²
H₁:
: 0² / ± 0²/2
Identify the test statistic.
F= (Round to two decimal places as needed.)
Use technology to identify the P-value.
The P-value is. (Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
O A. Reject Ho. There is insufficient evidence to support the claim that the numbers
of words spoken in a day by men vary more than the numbers of words spoken
in a day by women.
B. Reject Ho. There is sufficient evidence to support the claim that the numbers of
words spoken in a day by men vary more than the numbers of words spoken in
a day by women.
O C. Fail to reject Hỏ. There is insufficient evidence to support the claim that the
numbers of words spoken in a day by men vary more than the numbers of
words spoken in a day by women.
O D. Fail to reject Hỏ. There is sufficient evidence to support the claim that the
numbers of words spoken in a day by men vary more than the numbers of
words spoken in a day by women.
Transcribed Image Text:The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. n X S Men Women 185 211 15,667.8 16,215.3 8,632.7 7,301.6 What are the null and alternative hypotheses? OA. Ho₂:0² #0²₂2 B. H₂:0² = 0²/2 H₁:0² > 0² H₁ : 0 ²₁2 = 0²/2 OC. H₂ : 0 ²₁2 = 0²/2 OD. H₂:0² = 0²/22 H₁:0² <0² H₁: : 0² / ± 0²/2 Identify the test statistic. F= (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. B. Reject Ho. There is sufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. O C. Fail to reject Hỏ. There is insufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. O D. Fail to reject Hỏ. There is sufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.
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