5) The dean of a major university claims that the mean number of hours students study at her University (per day) is less than 3.8 hours. Test the claim using a 5% significance level. From a random sample of 40 students: x = 3.5 hours s = 0.5 hours Determine: test statistic: Critical value: Decision: Conclusion: Но H t = Tc= Reject Ho OR Do not reject Ho
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- In order for a candy company to claim that a bridge mix is mostly chocolate stars, a proportion of at least 0.8 of the packages must contain 3 ounces or more of chocolate stars. Quality control tests a random sample of 50 packages to determine if the proportion is less than 0.8 at a significance level of 0.05. Use Sheet 6 of the Excel file to calculate p^, the z-score, and the p-valueA store that sells LPG claims that the mean weight of their tanks are exactly 11-kgs as prescribed. Using a random sample of 15 LPG tanks, a regular customer tests the theory that the average weight of the store's tanks are somehow lower than the prescribed weight. Use a significance level of α=0.10A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. 1.Compute the p-value. 2. Does the evidence support the computer manufacturer's claim at the 10% significance level?
- Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 72bpm. Use a 0.10 significance level. Pulse Rates (bpm)397770844090685537509648463663611049466431016869975339696250733684726455783778653841855867675284878077A simple random sample of front-seat occupants involved in car crashes was obtained. Among 7,000 occupants not wearing seat belts, 18were killed. Among 7765 occupants wearing seat belts, 16 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities using the critical value approach. a) Define parameters and state null and alternative hypothesis. b)Test statistics c) P-value d) ConclusionA researcher was interested in comparing the resting pulse rates of people who exercise regularly and of those who do not exercise regularly. Independent simple random samples of 16 people who do not exercise regularly and 12 people who exerciseregularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are as follows. Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly. a)Identify the null hypothesis, alternative hypothesis. b)Find the test statistics c)Find the critical value d)Conclusion about the null hypothesis e)State the conclusion
- A machine is set up such that the average content of juice per bottle equals μ. A sample of 36 bottles yields an average content of 51.5 oz. Use the P-value approach to test the hypothesis that the average content per bottle is different from 50 oz at the 5% significance level. Assume that the population standard deviation σ= 50 oz.Use the pulse rates in bpm of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 74 bpm. Use a 0.10 significance level.A medical researcher conducts a hypothesis test to test the claim that U.S. adult males have gained weight over the past 15 years. Assume that all the conditions for proceeding with a one-sample test on proportions have been met. The calculated test statistic is approximately 1.71 with an associated p-value of approximately 0.0436. Choose the conclusion that provides the best interpretation for the p-value at a significance level of a=0.05
- In order for a candy company to claim that a bridge mix is mostly chocolate stars, a proportion of at least 0.8 of the packages must contain 3 ounces or more of chocolate stars. Quality control tests a random sample of 50 packages to determine if the proportion is less than 0.8 at a significance level of 0.05. Use Sheet 6 of the Excel file to calculate p^, the z-score, and the p-value. p^= z= p= Since the p-value is (greater/lesser) than the significance level 0.05, the null hypothesis (fails to be rejected/ is rejected) (sufficient/Insufficient) evidence exists that the proportion of packages with 3 ounces or more of chocolate stars is less than 0.8. 4.014612 2.639621 3.450417 3.358356 2.84696 2.780427 3.300524 3.553771 3.260947 3.840587 2.860518 3.006942 3.49015 3.294381 3.072383 3.187383 2.820845 3.546399 3.544942 2.748968 2.652408 4.197403 3.796142 2.955329 3.778145 3.168329 3.270481 3.61453 2.927849 2.850947…Researchers compared protein intake among threegroups of postmenopausal women: (1) women eating astandard American diet (STD), (2) women eating a lactoovo-vegetarian diet (LAC), and (3) women eating a strictvegetarian diet (VEG). The mean ± 1 sd for protein intake(mg) is presented in Table 12.29.*12.1 Perform a statistical procedure to comparethe means of the three groups using the critical-valuemethod and What is the p-value from the test performedA computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. Calculate the value of the relevant test statistic. Compute the p-value. Does the evidence support the computer manufacturer's claim at the 10% significance level?