Workshop 7 One-Sample Mean Tests Name: _______________________________________ Date Completed: _____________ |

Provide all solutions, answers and requested outputs after each question.

**Questions 1**. For a sample of *n* = 18 with mean 54 and
standard deviation 5, compute

(a) the estimated standard
error, *s _{M}*

(b) the 95% confidence interval for the sample.

**Question 2**. Is mean of a sample of 28 from a sample of size *n
= *100 the same as that of a

population with mean equals 26
and standard deviation of 8? Test your hypothesis at

the 0.05 significance level.

**Question 3. **Use the 95% confidence interval for a sampling
distribution with *m* = 150 and *
s* = 10 to test whether
a sample with

**Question 4. **What conclusion would you draw or reach if the
result of your hypothesis testing rejects

the null hypothesis at the
0.05 significance level, but your effect size was 0.04?

**Question 5.** What factor most effects the confidence interval
of a sampling distribution and why?

**Question 6. **Compare the mean, for alpha = 0.05, of the
pass4th variable of the ODE.csv
dataset

against a value of *m* = 68. (hint. use *s _{M}*
to estimate the population parameter)

**Question 7.** Compare the mean from a sample of *n *=
12, *M = 125*, and *SD = 9* to a population

* m*
= 120. At the 0.01 significant level is the sample mean greater than
120?

**Question 8. **Is the mean of sample *X = { 2, -3, 1, 4, -2,
-1, 5, 2, 3, -1, 0} *equals to 0?

Test your hypothesis at the 0.01
significance level.

**Question 9.** The 95% confidence interval for the mean for a
sample of size 100 goes from 6.08 to 13.92.

What is the mean and standard
deviation?

CI = mean

then use standard error formula to find standard deviation

**Question 10.** The population mean is being estimated based on
a sample of size 64.

The sample mean is 55 and the
standard deviation is 15.

(a) Construct CI_{95}

(b) Could the population mean be 50?

(c) What is the effect size for part b?

(d) What are possible values for the population mean?