Question

Ho: u= 6 Number of bases personnel have been to

H1: u =/= (not equal) 6 Frequency: 15,16,12,5,1,1 Bases: 0-5,6-10,11-15,16-20,21-25,26-30

? Test the sample results (your collected 50 data points) against the population.

? Explain the relationship between the sample data and the population based on the results of your hypothesis test

Answer 1

Result:

Ho: u= 6 Number of bases personnel have been to

H1: u =/= (not equal) 6

Frequency: 15,16,12,5,1,1 Bases: 0-5,6-10,11-15,16-20,21-25,26-30

? Test the sample results (your collected 50 data points) against the population.

? Explain the relationship between the sample data and the population based on the results of your hypothesis test

base	f	mid x	f*x	f*x*x
0-5	15	3	45	135
6-10	16	8	128	1024
11-15	12	13	156	2028
16-20	5	18	90	1620
21-25	1	23	23	529
26-30	1	28	28	784
Total	50		470	6120

=4.0973

Table value of t with 49 DF at 0.05 level =2.0096

Calculated t =4.0793 > 2.0096   the table value

The null hypothesis is rejected.

We conclude that population mean is different from 6.

This sample is not from the population with mean 6.

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m=	6
Level of Significance	0.05
Sample Size	50
Sample Mean	9.4
Sample Standard Deviation	5.8936
Intermediate Calculations
Standard Error of the Mean	0.8335
Degrees of Freedom	49
t Test Statistic	4.0793
Two-Tail Test
Lower Critical Value	-2.0096
Upper Critical Value	2.0096
p-Value	0.0002
Reject the null hypothesis