Question

I dont understand this question 1 to 5

1) A particular fruit's weights are normally distributed, with a mean of 668 grams and a standard deviation of 39 grams.
If you pick 24 fruits at random, then 7% of the time, their mean weight will be greater than how many grams?
Give your answer to the nearest gram. _____

2)The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 14 days.

In what range would you expect to find the middle 98% of most pregnancies?
Between ____ and ____ .

If you were to draw samples of size 53 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between ____ and ___ .

3) Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.9-in and a standard deviation of 0.8-in.

In what range would you expect to find the middle 50% of most head breadths?
Between ____ and ___ .

If you were to draw samples of size 48 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample?
Between ____ and _____ .

4) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 217.2-cm and a standard deviation of 1.3-cm. For shipment, 6 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is less than 216.4-cm.
P(M < 216.4-cm) =

5) Let XX represent the full length of a certain species of newt. Assume that XX has a normal probability distribution with mean 246.3 inches and standard deviation 3.9 inches.

You intend to measure a random sample of n=91n=91 newts. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.
____ , ______ , _____

Answer 1

dear student we can provide you with the solution of one type of question at a time.

1) Let 7% of the time, the mean weight will be greater than A grams

critical value corresponding to probability 0.07 is

7% of the time, their mean weight will be greater than 679.75 grams