Question

(CO7) The heights of 82 roller coasters have a mean of 285.2 feet and a standard deviation of 59.3 feet. Find the standardized tests statistics and the corresponding p-value when the claim is that roller coasters are more than 290 feet tall.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 290

H_a : > 290

= 285.2

= 290

= 59.3

n = 82

Test statistic = z

= ( - ) / / n

= (285.2 - 290) / 59.3 / 82

= -0.73

Test statistic = -0.73

P(z > -0.73) = 1 - P(z < -0.73) = 1 - 0.2327 = 0.7673

P-value = 0.7673