Question

A well designed and safe workplace can contribute greatly t (MA randomly selected from the population of healthy males age 18-30. Does the following data suggest that the population mean is equal to 25 kg? The to increased productivity. The accompanying data on maximun weight of lift population standard 25 23 27 21 24 22 23 a H1>25 kg b.H1 25 kg G. H125 kg d Ho 25 kg anstion 2 of 10

Answer 1

Correct option:

b.    H1 $\neq$ 25 kg

Explanation:
H0: Null Hypothesis: $\mu$ = 25

H1:Alternative Hypothesis: $\mu \neq$ 25

n = Sample Size = 7

$\bar{x}$ = Sample mean = 23.5714

$\sigma$ = Population SD = 5.45

SE = $\sigma$/$\sqrt{n}$

= 5.45/$\sqrt{7}$

= 2.0599

Test statistic is given by:

t = (23.5714 - 25)/2.0599

= - 0.6935

$\alpha$ = 0.10

ndf = n - 1 = 7 - 1 = 6

From Table critical values of t = $\pm$ 1.9432

ince calculated value of t = - 0.6935 is greater than critical value of t = - 1.9432, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data support the claim that the population mean is equal to 25 kg.