[refer to the previous problem] A manufacturing company developed a new type of hollow block that has a mean compressive strength of 8 kilograms with a standard deviation of 0.5 kilogram. A random sample of 50 Iblocks is tested and found to have a mean compressive strength of 7.8 kilograms. Use a 0.01 level of significance. Which of the following best contradicts the null hypothesis, µ = 8 At the given level of significance, the critical regions are at: Oz<-2.575 Oz<-2.33 Oz<-2.575 & z > 2.575 Oz<-2.33 & z > 2.33 O none of the above
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- An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 100 engines and the mean pressure was 4.9 lbs/square inch. Assume the standard deviation is known to be 0.7. If the valve was designed to produce a mean pressure of 4.7 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario.An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200 engines and the mean pressure was 4.4 lbs/square inch. Assume the standard deviation is known to be 0.9. If the valve was designed to produce a mean pressure of 4.5 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario.The Merck Manual states that, for healthy adults, the mean number of milliliters of oxygen per deciliter of blood is 19.0. A company that sells vitamins claims that its multivitamin complex will increase the oxygen capacity of the blood. A random sample of 28 adults took the vitamin for six months. After blood tests, it was found that the sample mean was 20.7 ml of oxygen per deciliter of blood with a standard deviation of 6.7ml. a. At the 0.05 level, test the claim that the average oxygen capacity has increased. b. How much power do you have to detect a 3ml difference (from the null) in the average amount of oxygen in the blood? c. What sample size would you need to have 90% power to detect this observed difference?
- A nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusionConcrete cubes are used to test the quality of mix from a concrete mixing plant. 28 day compressive strength is taken as the standard measure to test the quality of the mix. Tests show that mean compressive strength of a sample of cubes is 28.4 units with a standard deviation of 2.95 units. To assure quality, the mixing company requires that at least 95% of the samples have compressive strength greater than 24 units. Based on this information and assuming a large sample size, answer the following questions. After major improvements on the plant, the mixing company is able to make cubes more consistent (reduce SD of compressive strength but maintain the same mean). For what value of the new SD will be cube standards be just met? Based on the requirements, only about___% of the samples meet the company standards.?Recently, a simple random sample of 572 adult males showed that 124 of them smoke. It has been established that in 2008. 20.4% of adults smoke. Use a 0.05 significance level to test the claim that the rate of smoking by adult males is now the same as in 2008. What is the value of the critical z tabular value?
- t and p-value please. WILL thumbs up if correct.An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200engines and the mean pressure was 5.4 pounds/square inch (psi). Assume the population standard deviation is 0.8 If the valve was designed to produce a mean pressure of 5.5psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?A report states the average rent for office space in a urban area is $17.75 per square foot. A real estate agent claims this average is incorrect. The agent selected a sample of 23 rental properties and found their mean to be $19.25 per square foot, with a sample standard deviation of $3.45 per square foot. Test the claim at alpha = 0.10. Use the P-value method to evaluate/compare with the given alpha (0.10). For question #18, give your calculated value for "t", rounding to the hundredths place. For question #19 (multiple choice), choose between what two areas your calculated t-value (when converted to P-value) falls. For question #20, answer True or False with regard to rejecting the null hypothesis. Hint: this is a two-tailed test!!
- no handwriting please.A manufacturer of a samsung phone charges claims that only 4% of his production isdefective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level ofsignificance, test the manager's claim.i. State the null and alternative hypotheses for the test. ii. Calculate the value of the test statistic for this test. iii. Determine the critical region(s) for this test.Please don't provide handwrittin solution.....Lana arrives at a bus stop at a uniformly random time. When Lana arrives at the bus stop, either of two independent bus lines (both of which can take her school) may come by. Company A’s bus arrival times are exactly 10 minutes apart, whereas the time from one Company B bus to the next is distributed as Expo (1/10) . What is the probability that Company B’s bus arrives first solve by double integration.