Question

A sample of 900 members has a mean 2.4 inches. Could it be reasonably regarded as being a simple random sample from a large population whose is 2.9 inches and standard deviation 3.2 inches

Answer 1

Step-by-step explanation:

Given A sample of 900 members has a mean 2.4 inches. Could it be reasonably regarded as being a simple random sample from a large population whose is 2.9 inches and standard deviation 3.2 inches

• Now considering the null hypothesis, the mean height equal to 2.4 inches.
• So ho : μ ho = 2.9 inches
• Now X bar = 2.4 inches, σ = 3.2 inches, n = 900
• Now assuming the population to be normal we get
•                   So z = X bar – μ ho / σ / √n
•                           = 2.4 – 2.9 / 3.2 / √900
•                          = - 0.5 / 3.2 / 30
•                         = 4.6875

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