Question

A researcher is asked to determine whether or not a productivity objective (in dollars) of better than $75,000 per employee is possible. A productivity test is done involving 20 employees. What conclusion would you reach

Answer 1

Hence the null hypothesis is not rejected.

We conclude that productivity objective (in dollars) is not better than $75,000 per employee.

Step-by-step explanation:

Single sample t-test ( upper tail test)

`H_0: \mu = 75000\\H_1: \mu > 75000`

N=20

Mean =75500

Sd=18968.117

`t = \frac { (\bar x - \mu)} {\frac {s} {√(n)}}\\\\t = ((75500-75000))/((18968.117)/(√(20)))\\t=0.1179`

DF= 20-1=19

Table value of t at 0.05 level of significance =1.7291

Calculated t=0.1179 < table value 1.7291

The null hypothesis is not rejected

We conclude that productivity objective (in dollars) is not better than $75,000 per employee