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Answer:
Step-by-step explanation:
Given that:
The sample size = 150
The sample mean = 70.69
The standard deviation = 29.60
The sample mean is equal to the point estimate of the population = 70.69
At 99% confidence interval level is:
∝ = 1 - 0.99
∝ = 0.01
The critical value:
The Margin of error =
= 2.58 × 2.4168
≅ 6.235
At 99% confidence interval; the estimate of the population mean lies within the interval:
=
= 70.69 - 6.235 < μ < 70.69 + 6.235
= 64.455 < μ < 76.925
= (64.455 , 76.925 )