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 = 64 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. 4a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n = 64 (MUST SHOW WORK FOR THIS PROBLEM)? 4d. Based on the calculated test statistic, would you
Please use the following information to answer 4d-4e:
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 = 64 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
4a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n = 64 (MUST SHOW WORK FOR THIS PROBLEM)?
4d. Based on the calculated test statistic, would you reject the null hypothesis established in question 4a (MUST SHOW WORK FOR THIS PROBLEM)?
4e. Based on the previously conducted steps, we can conclude (MUST SHOW WORK FOR THIS PROBLEM):
Determine whether the presented statement is true or false based on the two-tailed tests previously conducted:
5. A larger sample size increases the likelihood of rejecting the null hypothesis.
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