Question

1. The researchers then decide to investigate whether employees working under sub-standard conditions experience greater workplace cohesion than the population of all workers (whose mean score is 73). Test your hypothesis and interpret your result.

                                          Sub-standard   Above average       Difference (sub-above)

               x 88.00     69.00     19.00

               s 7.00     12.00     4.00

               n   58.00     70.00     58.00

Type of test: _____________________________________________________________

Null & alternative hypotheses (either words or symbols is fine):

H₁:           

H₀:                                                                                                                       

Formula(s):

Calculations:

                                                                                                                    

t =                                t_critical =                                      df =   

Null hypothesis (circle one):              REJECT                      RETAIN

Significant effect (circle one):            SIGNIFICANT           NON-SIGNIFICANT

Verbal conclusion (use names of variables):

Answer 1

Type of test : One sample t test

To test null hypothesis against alternative hypothesis

Here

sample mean

sample standard deviation

and sample size

The test statistic can be written as

which under H₀ follows a t distribution with n-1 df.

We reject H₀ at 5% level of significance if p-value < 0.05 or

Now,

The value of the test statistic

and

and p-value =

Since p-value < 0.05, so we reject H₀ at 5% level of significance and the test is significant and we can conclude that employees working under sub-standard conditions experience significantly greater workplace cohesion than the population of all workers (whose mean score is 73)