Please use the following information to answer 3a-3c: A random sample is selected from a normal population with a mean of µ = 30 and a standard deviation of σ= 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ =33. Furthermore, if the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. 3a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n =16 (MUST SHOW WORK FOR THIS PROBLEM)? a. Ho: µ ≥ 30 , H1: µ < 30 b. Ho: µ = 30, H1: µ ≠ 30 c. Ho: µ ≤ 30, H1: µ > 30 d. Ho: µ > 30, H1: µ ≤ 30 3b. Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)? a. z = 1.65 b. z = -1.96 c. z = ±1.96 d. z = ±1.65 3c. Compute the test statistic(z-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM). Note: Must show calculations for standard error alongside the calculations for the test statistic.
Please use the following information to answer 3a-3c:
A random sample is selected from a normal population with a
Furthermore, if the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
3a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n =16 (MUST SHOW WORK FOR THIS PROBLEM)?
a. Ho: µ ≥ 30 , H1: µ < 30
b. Ho: µ = 30, H1: µ ≠ 30
c. Ho: µ ≤ 30, H1: µ > 30
d. Ho: µ > 30, H1: µ ≤ 30
3c. Compute the test statistic(z-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).
Note: Must show calculations for standard error alongside the calculations for the test statistic.
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