Exhibit 9-3 n = 49 \bar{x} = 54.8 s = 28 H_0: \mu \leq 50 H_a: \mu > 50 10. Refer to Exhibit 9-3. The test statistic is a. 0.1714 b. 0.3849 c. -1.2 d. 1.2 11. Refer to Exhibit 9-3. The $p$-value is between a. 0.01 to 0.025 b. 0.025 to 0.05 c. .05 to 0.1 d. 0.1 to 0.2 12. Refer to Exhibit 9-3. If the test is done at the 5\% level of significance, the null hypothesis should a. not be rejected b. be rejected c. Not enough information given to answer this question. d. None of these alternatives is correct.
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Step 1: Calculate the test statistic using the formula: \[ \text{Test statistic} = \frac{x - \mu}{\frac{\sigma}{\sqrt{n}}} \] where \( x \) is the sample mean, \( \mu \) is the population mean under the null hypothesis, \( \sigma \) is the population standard Show more…
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6. Select correct response (8 points, 1 point each) 1) Using the information given below, 2-Sample t-test and Confidence Interval 2-sample t for Group 1 vs. Group 2 N Mean StDev SE Mean Group 1 20 109.25 8.27 1.9 Group 2 20 108.5 10.4 2.3 α-level: 0.05; 95% CI for mu Group 1 - mu Group 2: ( -5.3, 6.8) t-test mu Group 1 = mu Group 2 (vs. not =): t-value = 0.25 P-value = 0.80 DF = 36 a. we would reject the null hypothesis that the mean of Group 1 is equal to the mean of Group 2? b. we would fail to reject the null hypothesis that the mean of Group 1 is equal to the mean of Group 2? c. Both a & b d. None of the above
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