A study of pollutants showed that certain industrial emissions should not exceed 2.4 parts per million. You believe a particularcompany may be exceeding this average. To test this supposition, you randomly take a sample of nine air tests. The sample average is3.3 parts per million, with a sample standard deviation of 0.4. Does this result provide enough evidence for you to conclude that thecompany is exceeding the safe limit? Use a = 0.1. Assume emissions are normally distributed.Appendix A Statistical Tables(Round your answer to 2 decimal places, e.g. 15.25.)The value of the test statistic isand weSave for LaterAttempts: 0 of 3 usedSubmit Answer

We want to test the hypothesis.

Answered: A study of pollutants showed that…

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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Rachael got a 660 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have mean μ = 600 and standard deviation σ = 30, what is her standardized score?
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed.
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
Assume that you have been provided the following information for a sample of cars The covariance between weight and miles per gallon is equal to -4.9 pound-miles. The standard deviation of the cars' mileages is 7.75. The standard deviation of the cars' weights is 0.94. Estimate the correlation coefficient to the first decimal place.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.0 pounds/square inch. The valve was tested on 22 engines and the mean pressure was 6.7 pounds/square inch with a standard deviation of 0.7. Is there evidence at the 0.05 level that the valve does not perform to the specifications? Assume the population distribution is approximately normal. Step 3 of 5: Specify if the test is one-tailed or two-tailed.
Please answer a-d
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.3 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 1030 samples is 5.4 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.01 level? Step 4 of 5 : Enter the decision rule.
A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
The mean volume of a large population of vials used to be 10.9 ml. To test whether this value has decreased, a random sample of size 300 vials are measured and found to have a sample mean of 10.5 ml. We will assume that the population of vial volumes is normally distributed with standard deviation of 3.6 ml. Test whether the mean population volume has decreased at a level of significance of 1%. Show your relevant steps below. Step 1: Hypotheses: • The null hypothesis Ho is (choose one): µ = 10.9 X = 10.5 x = 10.9 u = 10.5 • For the alternative hypothesis Ha we change the equal sign in Ho to (choose one):
The average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03. The standard deviation is $0.10. At α = 0.05, is the price of salad dressings significantly higher than the price of frozen desserts?
The average life span of one particular brand of refrigerator is 12 years with a standard deviation of 0.8. Find the percentage of the refigerators that last between 10 and 14.5 years. O 99.3% 99.9% 95.9% 97.8% ▶
An engineer has designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.0 pounds/square inch. The valve was tested on 22 engines and the mean pressure was 6.7 pounds/square inch with a standard deviation of 0.7. Is there evidence at the 0.05 level that the valve does not perform to the specifications? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses.

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