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.

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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 =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. = 1.65 
b.= -1.96
c.= ±1.96
d.= ±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. 

 
 

 

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