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A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 16 cans of this soft drink, which were checked for calories, contained a mean of 31.8 calories with a standard deviation of 3 calories. Assume that the number of calories in 12-ounce soda cans is normally distributed.
a) State the null and alternative hypotheses.
b) Select the distribution to use. Explain briefly why you selected it.
c) Assuming that they wish to test the claim at alpha = 0.025, determine the rejection and non rejection regions based on your hypotheses in a). State the critical value.
d) Calculate the value of the test statistic.
e) Does the sample information support that the manufacturer's claim is false? Explain your conclusion in words.
If only one bolt is chosen, determine the probability that it will be found defective for only 1 reason (that is. it is either too large or has poor workmanship, but not both.)
Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution.
Given that SAT test scores are normally distributed with a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?
Random sample of round-trip discount fares on this route last month gives: At .01 significance level can we conclude that mean fare has increased? Determine the p-value?
During the past year, the mean sales of Wshington Reds in cases was 45,000 cases, and the standard deviaiton was 4,450. How many cases of Washington Reds should be brought to market? Assume the sales follow a normal distribution.
Expireall Corporation is in finishing business. The following data took place during September: The standard cost card indicates that 2.0 feet are used in the production of each unit. The standard cost of each material is $4.50 per foot.
Does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket?
Develop a spreadsheet model to determine the optimal number of magazines to order each day. Use 500 replications and round the demand values generated by the normal random number generator (RNG) to the closest integer value.
What is our decision regarding the differences between the observed and expected frequencies if the critical value of chi-square is 9.488 and the computed value is 6.079?
An airline estimates that 90% of people booked on their flights actually show up. If the airline books 71 people on a flight for which the maximum number is 69, what is the probability that the number of people who show up will exceed the capacity..
The average height of american woman is distributed normally, with a mean of 63.5 inches and a standard deviation 2.5 inches. Approximately what percentage of american women are taller than 58.5 inches,
The average could be a poor estimate of the spending of all teenagers given that only teenagers in malls were sampled.
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