The TreeDropped Fruit Company wants to sell its apples in pink and yellow gift boxes. To design the boxes, the company needs to estimate the average diameter of their apples. A random sample of 50 apples has a mean of 4.1 inches. Using previous research you assume a population standard deviation of .4 inches.

What is the point estimate in this scenario? Is it an unbiased estimator?

What is the critical z value for a 95% interval?

What is the margin of error for a 95% interval in this scenario?

What is the 95% confidence interval for this scenario?

1 answer

I assume you are only concerned with the apples being too big to fit in the box.

Ho: mean = 4.1

Ha: mean > 4.1

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (.05) and its Z score.

95% = mean + Z SEm

SEm = SD/√n