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A manufacturer claims that the mean weight of its ice cream cartons is 12 ounces with a standard deviation of 0.5 ounce. Assume the weights are normally distributed. You test 25 cartons and find their mean weight to be 12.22 ounces.
(a) Assuming the manufacturer's claim is correct, what is the probability the mean of the sample is 12.22 ounces or more?(b) Using your answer form part (a), what do you think of the manufacturer's claim?(c) Would it be unusual to have an individual carton with a weight of 12.22 ounces? Why or why not?
A 99% confidence interval estimate of the population mean can be interpreted to mean that we have 99% confidence that the true population mean will fall within the confidence interval estimate.
What if the size for each sample were increased to 20? Would a sample mean of 115 or more be considered unusual? Why or why not? Why is the Central Limit Theorem used?
What does central limit theorem say about distribution of John's average payoff after 365 bets in a year?
Calculate the average or the median of the average or medians of the samples and compare it with the average of the population.
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
A statistician wants to estimate the mean weekly family expenditure on clothes. He believes that the standard deviation of the weekly expenditure is $125.
Explain probability distribution of X (name and parameters).
Suppose we select a sample of 16 cuts from various CDs sold by CRA CDs, Inc. What can we say about the shape of the distribution of the sample mean? What is the standard error of the mean?
A woman has n keys, of which one will open her door. (a) if she tries the keys at random, discarding those that do not work, what is the probability that she will open the door one her kth try?
Using the .05 level, what should the experimenter conclude? (a) Use the steps of hypothesis testing, (b) sketch the distributions involved.
Twenty defective products are found after a long working day. What is the probability that all the defective products can be reworked?
If the computer manufacturer decides to sample 2,300 of the microchips received in each shipment, what acceptance number, c, would they want?
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