Use the following information to complete steps (a) through (d) below. A random sample of size n, = 31 results in a sample mean of 125.3 and a sample standard deviation of 8.5. An independent sample of size n, = 50 results in a sample mean of 131.8 and sample standard deviation of 7.3. Does this constitute sufficient evidence to conclude that the population means differ at the ¤ = 0.05 level of significance? O A. A hypothesis test regarding the difference of two means using a matched-pairs design. O B. Ahypothesis test regarding the difference between two population proportions from independent samples. O C. A hypothesis test regarding two population standard deviations. OD. A hypothesis test regarding the difference of two means using Welch's approximate t. (b) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1 = HHq>H2 O B. Ho: H1 SH2HH1# H2 c. Họ: H1 =H2; Hq:H1 # H2 O D. Ho: H1 = 2; Hq: µ1 SH2 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)

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Use the following information to complete steps (a) through (d) below.
A random sample of size n, = 31 results in a sample mean of 125.3 and a sample standard deviation of 8.5. An independent sample of size n, = 50 results in a sample
mean of 131.8 and sample standard deviation of 7.3. Does this constitute sufficient evidence to conclude that the population means differ at the g = 0.05 level of
significance?
O A. Ahypothesis test regarding the difference of two means using a matched-pairs design.
O B. Ahypothesis test regarding the difference between two population proportions from independent samples.
O C. Ahypothesis test regarding two population standard deviations.
D. Ahypothesis test regarding the difference of two means using Welch's approximate t.
(b) Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: H1 = H2; Hq:H1 > H2
O B. Ho: H1 Sp2; Hq: µ1# H2
c. Họ: H1 = H2; Hq: µ1 #µ2
O D. Ho: H1 =H2; H1: µ1 SH2
(c) Use technology to calculate the P-value.
(Round to three decimal places as needed.)
Transcribed Image Text:Use the following information to complete steps (a) through (d) below. A random sample of size n, = 31 results in a sample mean of 125.3 and a sample standard deviation of 8.5. An independent sample of size n, = 50 results in a sample mean of 131.8 and sample standard deviation of 7.3. Does this constitute sufficient evidence to conclude that the population means differ at the g = 0.05 level of significance? O A. Ahypothesis test regarding the difference of two means using a matched-pairs design. O B. Ahypothesis test regarding the difference between two population proportions from independent samples. O C. Ahypothesis test regarding two population standard deviations. D. Ahypothesis test regarding the difference of two means using Welch's approximate t. (b) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1 = H2; Hq:H1 > H2 O B. Ho: H1 Sp2; Hq: µ1# H2 c. Họ: H1 = H2; Hq: µ1 #µ2 O D. Ho: H1 =H2; H1: µ1 SH2 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)
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