Question

The following data are required to answer questions 4-7. In Australia, there was a national average of 8 publications per staff member between 1974 and 1996. A random sample of 5 individuals was taken from the 17 members of academic staff at Mudlark University in order to determine whether they were publishing at a rate consistent with the national averages (see data below). An asterisk indicates that the staff member was one of the five sampled individuals.

Staff Member	Publications
1*	7
2	3
3	44
4	4
5*	21
6	11
7	10
8*	3
9	0
10	6
11	0
12*	1
13	2
14*	15
15	15
16	0
17	28

4. What is the null hypothesis for this analysis?

1. The sample mean is different from the national average
2. The sample mean is identical to the national average
3. The sample mean is eight
4. both b and c are correct

5. What is the sample mean?

1. 10.00
2. 11.52
3. 9.40
4. 8.00

6. Approximately what is the value of the obtained t-statistic?

1. 3.11
2. 0.37
3. 1.88
4. 0.04

7. On the basis of the obtained t-statistic, should you reject the null hypothesis (alpha = .05)?

1. Yes, the probability is less than alpha
2. No, the probability is greater than 1.0
3. Yes, the probability is greater than alpha
4. No, the probability is greater than alpha

Answer 1

4. What is the null hypothesis for this analysis?

ans : The sample mean is different from the national average

random sample of 5 staff member

7

21

3

1

15

mean = 9.4

sd = 8.41

SE = sd/ SQRT(n)

n = 5

5. What is the sample mean?

ans : 9.4

6. Approximately what is the value of the obtained t-statistic?

t - cal

(X_bar - mean ) / SE

0.372

ans : t- stat = 0.37

7. On the basis of the obtained t-statistic, should you reject the null hypothesis (alpha = .05)?

No, the probability is greater than alpha.

becouse of SPSS output t-table value is greater than the t-stat, so accept the null hypothesis.

One-Sample Test
	Test Value = 8
t	df	Sig. (2-tailed)	Mean Difference	95% Confidence Interval of the Difference
Lower	Upper
VAR00004	.372	4	.729	1.40000	-9.0477	11.8477