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The manufacturer of a particular all-season tire claims that the tires last for 22,000 miles. After purchasing the tires you discover that yours did not last the full 22,000 miles.Suppose that a sample of 100 tires made by that manufacturer lasted on average 21,819 miles with a sample standard deviation of 1,295 miles. Is there sufficient evidence to refute the manufacturer's claim that the tires last 22,000 miles? Let a = 0.05. Assume that the population standard deviation is s = 1300.
a. Define the null and alternative hypotheses.
b. Find the appropriate rejection region.
c. Compute the test statistic.
d. What is your conclusion? Explain.
Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
As part of study of the development of the thymus gland, researchers weighed the glands of five chick embryos after 14 days of incubation. Calculate the standard error of the mean.
The manager of a local bank wants to estimate the average amount held in checking accounts by the customers. A random sample of 30 customers is selected, and the results indicate a sample average of $4,750 and a sample standard deviation of $1,200..
Use frequency distribution to create a probability distribution, determine the (b) mean,(c) variance.
What do you notice about the two histogrum and (therefore) about the estimates of probability of getting above 0?
A mean of 54 and a standard deviation of 5; the N(54, 5) distribution. What is the relative frequency of classical CDs with a playing time of X of 59 minutes?
A random sample of 13 four-cylinder cars is obtained and the breaking distances are measured and found to have a mean of 137.5 ft and a standard deviation of 5.8 ft.
Assume the population standard deviations are not the same. At the .05 significance level, is there a difference in the mean waiting time?
Find the probability that a customer with 2 or more late payments will actually default on his payments and, in light of this probability, criticize the manager's credit plan.
Develop a model that determines your round-trip gasoline cost. What assumption or approximations are necessary to treat this model as deterministic model?
Multiply by 50 to get the middle 95% of the distribution of the gamblers winnings on nights when he places 50 bets. (d) What is the probability that the gambler will lose money if he makes 50 bets?
Assume that each light bulb works independently of other light bulbs. Determine the probability that all 10 of light bulbs work?
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