Please use the following information to answer questions 3a-3g:

A random sample ofn=25individuals is selected from a population with = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to bex = 22.2 withSS = 384.

3a. How much difference is there between the mean for the treated sample and the mean for the original population (MUST SHOW WORK FOR THIS PROBLEM)?

Note: In a hypothesis test, this value forms the numerator of thet statistic.

3b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error forx (MUST SHOW WORK FOR THIS PROBLEM).

Note: In a hypothesis test, this value is the denominator of the tstatistic.

3c. Based on the sample data, does the treatment have a significant effect?Use a two-tailed test with= .05. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample ofn=25 (MUST SHOW WORK)

1. Ho: 20 H_1:< 20

2. Ho:= 20

H_1: 20

3. Ho: 20 H_1:> 20

4. Ho:> 20 H_1: 20

3d.Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

1. t=2.064

2. t=1.711

3. t=1.711

4. t=2.064

3e.Compute the test statistic (t-observed)for the mentioned sample(MUST SHOW WORK FOR THIS PROBLEM).

3f.Based on the calculated test statistic,would you reject the null hypothesis established in question3a (MUST SHOW WORK FOR THIS PROBLEM)?

1. yes

2. no

3g.Based on the previously conducted steps,can it beconcluded that the treatment had a significant effect(MUST SHOW WORK FOR THIS PROBLEM)?

1. yes

2. no