# statistics

posted by .

The weights of pineapples grown are approximately normally distributed with a standard deviation of 2.5 and mean of 31 ounces. Suppose a single pineapple is selected at random.

a. If a single pineapple is selected at random, what is the approximate probability that it weighs more than 35 ounces?
b. Suppose 2 pineapples are randomly and independently selected. Find the probability that exactly 1 of the 2 pineapples weighs more than 35 ounces.
c. If you select pineapples at random from the crop, how many pineapples might you have to inspect before you find one that weighs more than 35 ounces?
1. Design a simulation using a random digits table to mimic the search for a suitable pineapple.
2. Perform the simulation twice, clearly illustrating the procedure and the results. Begin on line 127 of Table B.

d. Find the probability that your 1st suitable pineapple (weighing 35 or more ounces) is one of the first 2 pineapples you inspect.

Managers were eager to test a new irrigation system and did so during this year’s production cycle.

e. How large a sample would you need to take to estimate the mean weight of the pineapples produced to within 1 ounce at a 95% confidence level?
f. Use a 95% confidence interval to determine whether this sample provides evidence of a change in the mean weight of pineapples produced. Explain.
g. Did the new irrigation system cause an increase in the mean weights of pineapples produced? Explain.

• statistics -

We do not do your homework for you. However, I will start you out.

a. Z = (x - mean)/standard deviation

Once you find the Z score, look it up in a table in the back of your stats text. The smaller portion column will give you the desired proportion.

I hope this helps.

## Similar Questions

1. ### statistics

The average age of statistics students nationwide is 22. The standard deviation is 2.5 years. Assume the age is a normally distributed variable. Find the probability that one student selected at random is older than 23. Find the probability …
2. ### statistics

dole pineapple inc. is concerned that the 16 ounce cans are overfilled. assume the standard deviation is .03 onces. a random sample of 50 cans has a mean weight of 16.05 ounces. at the 5% level of significance can we conclude that …
3. ### statistics

The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inch. Suppose a random sample of 20 balls is selected. …
4. ### Statistics

Assume the weights of men are normally distributed having a mean of 185 lbs and a standard deviation of 17 pounds. A. Calculate the probability a randomly selected man weights less than 225 lbs B. Approximately 72% of men’s weights …
5. ### statistics

A specific study found that the average number of doctor visits per year for people over 55 is 8 with a standard deviation of 2. Assume that the variable is normally distributed. 1. Identify the population mean. 2. Identify the population …
6. ### statistics

A specific study found that the average number of doctor visits per year for people over 55 is 8 with a standard deviation of 2. Assume that the variable is normally distributed. 1. Identify the population mean. The population mean …
7. ### statistics

the weights of newborn babies are distributed normally, with the mean of approximately 115 oz and a standard deviation of 20 oz. if a newborn baby is selected at random. what is the probability that the baby weighs more than 95 oz?
8. ### statistics

the wieights of newborn babies are distributed normally, with the mean of approximately 115 oz and a standard deviation of 20 oz. if a newborn baby is selected at random. what is the probability that the baby weighs more than 95 oz?
9. ### Statistics

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.2 ounces. (a) If 4 potatoes are randomly selected, find the probability that the mean weight is less than …
10. ### Statistics

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 7.9 ounces and a standard deviation of 1.1 ounces. Suppose Carl bags his potatoes in randomly selected groups of 6. What percentage of these bags …

More Similar Questions