# statistics

posted by .

An agricultural economist is interested in determining the average diameter of peaches produced by a particular tree. A random sample of 50 peaches is taken and the sample mean calculated. Suppose that the average diameter of peaches on this tree is known from previous years' production to be 75 millimeters with a standard deviation of 15 millimeters. What is the probability that the sample mean exceeds 78 millimeters?

• statistics -

Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√n

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Beorstone

Why does walter love his peaches so much He does not love his peaches, he is only shaking his tree to make them fall, but his actions are misinterpreted for narcissism.
2. ### statistics

A study of peach trees found that the average number of peaches per tree was 625. The standard deviation of the population is 140 peaches per tree. Ascientist wishes to find 80% confidence interval for the mean number of peaches per …
3. ### Algebra

Fiona and camila took a load of peaches to the farmers market. During the first hour , they sold 1/2 of the peaches plus 1/2 of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour …
4. ### Math

Fiona and camila took a load of peaches to the farmers market. During the first hour , they sold 1/2 of the peaches plus 1/2 of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour …
5. ### Fractions Math

Fiona and camila took a load of peaches to the farmers market. During the first hour , they sold 1/2 of the peaches plus 1/2 of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour …
6. ### Fractions

Fiona and camila took a load of peaches to the farmers market. During the first hour , they sold 1/2 of the peaches plus 1/2 of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour …
7. ### Fractions

Fiona and camila took a load of peaches to the farmers market. During the first hour , they sold 1/2 of the peaches plus 1/2 of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour …
8. ### math

Basir collected 41/3 baskets of peaches at an orchard. if each basket holds 21 peaches, how many collect peaches did he collect in all?
9. ### math (grade6)

cassie and connor are selling peaches yesterday cassie sold 31 peachesconnor sold p fewer peaches than cassie. a. suppose connor sold 50 peaches today explain how to write an expression for the number of peaches cassie sold today if …
10. ### OPRE

A producer is very proud of the peaches he grows. He claims that, on average, 10% or less of his peaches in a bushel are defective. You take a sample of 400 peaches and find that 50 are defective. If Î± = 0.025, what will be the …

More Similar Questions