Question

• I will Test the claim that the mean pulse rate of a person is less 75 beats per minute.

I surveyed 35 co-workers results below:

56, 66, 67, 78, 92, 61, 75, 87, 60, 59, 56, 78, 82, 97, 58, 90, 71, 87, 65, 59, 65, 76, 60, 78, 72, 58, 90, 86, 72, 95, 55, 69, 72, 75, 92

N=35

x  73.1 sample mean

12.6 population standard deviation

0.05

z1.645 (right tailed test)

Test Stat


-0.89 this yields a p-value of 0.1893 (according to technology)

Hypotheses

H0 : m = 75

H1 : m > 75

Are these correct below?

my standard population deviation? 12.6

a=  0.05

z  1.645 (right tailed test)

and would I reject null hypothosis or fail to reject and why?

Answer 1

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :   = 75

H_a : < 75

= 73.1

= 75

= 12.6

n = 35

Test statistic = z

= ( - ) / / n

= (73.1 - 75) / 12.6 / 35

= -0.89

Test statistic = -0.89

P(z < -0.89) = 0.1867

P-value = 0.1867

= 0.05

Z_0.05 = -1.645

Critical value = -1.645

Test statistic > critical value

Failed to reject the null hypothesis .