A local police force must pay for their uniforms at an average cost of $165 allowing for cost variations for size, rank, etc. Switching to a new company reduced the average cost to $149 with a σn-1 = $68.15 based on a sample of n = 42 officers. Perform a hypothesis test with α = 5% to verify if uniform costs have significantly been reduced.
A. What is H0?
B. What is H1?
C. What is the value of the test statistic for this hypothesis test?
D. What is the value of the critical value for this hypothesis test?
E. What is the conclusion to this hypothesis test?
A local police force must pay for their uniforms at an average cost of $165 allowing...
For the following questions, refer to the following scenario: The local police chief started a “crimeline” program some years ago and wonders if it’s really working. The program publicizes unsolved violent crimes in the local media and offers cash rewards for information leading to arrests. The police chief wants to know: Is there a difference in the arrest rate for crimes that are publicized compared to those that are not? Results from random samples of both types of crimes are...
The average breaking force of a certain type of fiber must be greater than 200 pounds per square inches (lppc). Previous experiments have shown that we can assume that the breaking force is normally distributed with a standard deviation σ = 4.5 lppc. A sample of 8 fibers gave the following breaking forces (in lppc): 210, 206, 198, 202, 201, 198, 199, 205. (a) Formulate a null hypothesis against alternative hypothesis to verify that this type of fiber is acceptable....
A local newspaper article reported that at least 50% of the construction jobs in the metropolitan New Orleans area are being filled by undocumented foreign workers. Anna Reed believes the actual percentage is much lower than that, and intends to challenge the newspaper’s figure. She took a random sample of 100 construction workers and found that 42 of them are undocumented. 1) What is the margin of error of the survey at the 95% level of confidence? 2) Find a...
The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 41 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem?...
6. The average price of homes sold in the U.S. in 2012 was $240,000. A sample of 144 homes sold in Chattanooga in 2012 showed an average price of $246,000. It is known that the standard deviation of the population is $36,000. We are interested in determining whether or not the average price of homes sold in Chattanooga is significantly different than the national average. Let α = .01 a. Verify whether the Central Limit Theorem conditions are met. b....
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of eight cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance. What are we testing...
The average American gets a haircut every 40 days. Is the average different for college students? The data below shows the results of a survey of 16 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 40, 40, 46, 40, 31, 46, 34, 44, 34, 42, 36, 27, 37, 46, 40, 37 What can be concluded at the the α α = 0.10 level of significance level of significance? For...
The Nero Match Company sells matchboxes that are supposed to
have an average of 40 matches per box, with σ = 8. A
random sample of 94 matchboxes shows the average number of matches
per box to be 42.2. Using a 1% level of significance, can you say
that the average number of matches per box is more than 40?
What are we testing in this problem?
single meansingle proportion
(a) What is the level of significance?
State the null...
The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 41 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem?...
From her firm's computer telephone log, an executive found that the mean length of 67 telephone calls during July was 4.32 minutes with a standard deviation of 5.14 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 49 telephone calls whose mean was 2.090 minutes with a standard deviation of 2.766 minutes. (a) Choose the appropriate hypotheses for a right-tailed test. Assume µ1 is the average call length in July and...