A house cleaning serviceclaims that it can clean afour-bedroomhouse in lessthan 2 hours. A sample of 36houses is taken and thesample mean is found to be1.97 hours and the samplestandard deviation is foundto be 0.1 hours. Using a 5%level of significance, thecorrect conclusion is:Do not reject the null hypothesisbecause the test statistic (-1.8) isgreater than the critical value (-1.96)Do not reject the null hypothesisbecause the test statistic (-1.8) isless than the critical value (-1.64).None of the choicesReject the null hypothesis becausethe test statistic (-1.8) is less thanthe critical value (-1.64).Reject the null hypothesis becausethe test statistic (-1.8) is greaterthan the critical value (-1.96).

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Answered: A house cleaning service claims that it…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An automobile manufacturer has given its van a 53.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs under the manufacturer's MPG rating. After testing 200 vans, they found a mean MPG of 52.9. Assume the population standard deviation is known to be 1.6. Is there sufficient evidence at the 0.05 level to support the testing firm's claim? Step 1 of 6 : State the null and alternative hypotheses.
Has the average time between telephone orders changed from 3.8 minutes, the mean of two years ago? This is the question facing a telephone mail-order company that has just started selling items based on special promotional materials. The population standard deviation from initial study was 0.5 minutes. A random sample of 100 telephone orders reveals a sample mean of 4 minutes. A significance level of 0.02 is chosen for this hypothesis test. Test the hypothesis using the p-value and choose which of the following outcomes is true. Select one: a. p-value = 0.00003, less than the significance level 0.02, reject the null hypothesis b. p-value = 0.00006, less than the significance level 0.02, reject the null hypothesis c. p-value = 0.99997, greater than the significance level 0.02, fail to reject the null hypothesis d. p-value = 0.00003, less than the significance level 0.02, fail to reject the null hypothesis
A lumber company is making boards that are 2599.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 23 is made, and it is found that they have a mean of 2600.3 millimeters with a standard deviation of 13.0 A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
The mean water temperature downstream from a power plant cooling tower discharge pipe should be no less than 98°F. Past experience has indicated that the standard deviation of temperature is 2.1°F. The water temperature is measured on nine randomly chosen days, and the average temperature is found to be 96°F. Should the water temperature be judged acceptable with 10% level of significance? the complete Test of Hypothesis
poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 7.18 years with a standard deviation of 3.37 years. Test the claim by the owner of a large dealership that the mean time of ownership for all cars is less than 7.5 years. Use a 0.05 significance level. Find the Z score and P value and if left-tailed or right-tailed. Also to reject or not too.
A children’s clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 3939 inches. The company regularly tests the lengths of the garments to ensure quality control, and if the mean length is found to be significantly longer or shorter than 3939 inches, the machines must be adjusted. The most recent simple random sample of 2929 dresses had a mean length of 36.8936.89 inches with a standard deviation of 7.567.56 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.0250.025 level of significance. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places. step 3of 3 : Conclusion - Reject the null hypothesis/ fail to reject ...insufficient/sufficient
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 11 bag sample had a mean of 428 grams with a standard deviation of 26. Assume the population normally distributed. A level of significance of 0.05 will be used. Specify the type of hypothesis test.
One group of 50 students took a distance learning class, while another group of 25 took the same course in a traditional face-to-face classroom. Both group were given the same mid-term test. The average score of the distance learning group was 52.0 with a standard deviation of 15.4. The average score for the group who took the course in the traditional format was 58.0 with a standard deviation of 18.0. At a significance level of 0.1, can it be concluded that there is a difference in average score of students between the distance learning and face-to face instruction formats? Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Note: Index "v" refers to the population of students taking distance learning classes (virtual mode) and index "" refers to the population of students taking face-to-face classes (traditional mode). For example if you believe formulation number 4 below is the most appropriate…
The amount of water consumed each week by Bronx residences is normally distributed. The population mean of water consumption is 120.3 gallons with a standard deviation of 10.0 gallons. Test the claim at the 0.10 significance level that the average amount of water consumed is not 125 gallons with a sample size of 100 residences. Do you retain or reject the null hypothesis?
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by √n The p-value is the area under the curve to the right of the value of the test statistic. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) 0.3 0.2 0.1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 90. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 90.…
The mean length of steel bolts from a manufacturing process is advertised as 15.1 mm. An inspector believes that this value is not correct. To investigate the inspector's claim, the lengths of a random sample of size 280 bolts are measured and found to have a sample mean of 15.6 mm. We will assume that the population of bolt lengths is normally distributed with standard deviation of 5.0 mm. Test whether the mean population length has changed at a level of significance of 10%. Show your relevant steps below. Step 1: Hypotheses: • The null hypothesis Ho is (choose one): = 5.0 u = u = 15.1 OH = 15.6 u = 280.0 • For the alternative hypothesis H. we change the equal sign in Ho to (choose one): Step 2: Rejection Region: The rejection region is bounded by the following critical values: Critical z value(s) =
A random sample of 15 hourly wages for restaurant servers (including tips) was drawn from a normal population. The sample mean and sample standard deviation were $14.9 and $6.75 respectevely.Can we infer at the 5% significance level that the mean wage for restaurant servers (including tips) is greater than 12?

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