QUESTION 24Oasis Company bottles soft drinks using an automatic filling machine. When the process is running properly, the mean fill is 450 ml per can. Each day, the company selectsa random sample of 50 cans yields a mean of 451.75 ml and the standard deviation is 7.5 ml?. They then test to determine whether the filling process is working properly. Atwhich significance level a, the null hypothesis is rejected.Ⓒ3%Ⓒ1%Ⓒ 5%O 10% QUESTION 23It was found that in a study of air-bag effectiveness 1000 crashes of midsize cars equipped with air bags, 85 of the crashes resulted in hospitalization of the drivers. We wantto test the claim that the air-bag hospitalization rate is 6.4% rate for crashes of midsize cars equipped with automatic safetly belts. Calculate the statisticand the p-valueof the test. Round your answer to three decimal places.

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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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Using traditional methods, it takes 10.4 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 10.8 hours with a standard deviation of 1.9. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. State the null and alternative hypotheses. E Keypad E Tables Keyboard Shortcuts Answer "H Submit Answer O 2021 Hawkes Learning search 31°F Clear ^ E %96
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A sample of 100 commuters in Boston indicated that they commute an average of ninety per day. The standard deviation of the sample was 36 minutes. Determine the standard error of the mean. With a 0.95 probability, what is the margin of error? What is the 95% confidence interval of the population mean?
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An electronics production sequence includes a process where a film of metal is deposited on a board. The film must be more than 1.000 mm thick. If the film is too thin the process fails. The engineer ran a test where the null hypothesis was that the mean thickness was at most 1.000 mm. A sample of 100 boards had a mean thickness of 1.007 mm and a standard deviation of 0.050 mm.At what level of significance would the null hypothesis be rejected? Express your answer at a decimal (not a percent) rounded to three places.
(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.…
An engineer 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 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
The state of Connecticut claims that the average time on death row is 15 years. A random survey of 75 death row inmates revealed that the average length of time on death row is 17.8 years with a standard deviation of 6.8 years. Conduct a hypothesis to test the state of Connecticut's claim. Use 5% significance level. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. Round to 4 decimal places. What is the decision? We fail to reject the claim that the average time on death row is 15 years We reject the claim that the average time on death row is 15 years
A high school athletic director is asked if football players are doing well academically as the other student athletes. From a previous study that the average GPA for the student athletes is 81. The athletic director randomly samples 20 football players and finds that the average GPA of the sample is 84 with a sample standard deviation of 7. Is there a significant change in GPA? Use a 0.10 significance level. Prompts Submitted Answers Null Hypothesis H = 81 Alternative Hypothesis H81 type of test t-test test statistic Choose a match p-value Choose a match computed value of the test statistic Choose a match Decision Choose a match Conclusion There is no significant change on the average GPA of Student athletes @ 10% alpha. Level of Confidence 90% Critical Value/s Choose a match
According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City is more than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. She surveys 23 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 3.8 hours per week, and the sample standard deviation (s) is 1.1 hours. H0: μ≤3; Ha: μ>3. α=0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)? Round your final answer to two decimal places. Provide your answer below: $$Test Statistic =
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. A charter school wants to know if their students have an average IQ that is higher than the population average. They take a random sample of 25 students and find a mean IQ of 108 with a standard deviation of 21. Use a 5% significance level. What is the P value with work? Do we reject the null hypothesis in this case? What does the hypothesis test say about the mean pulse rate.
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