A energy-generating program is proposed using wind power. Suppose that this form of energy generation is only viable if wind speed in a certain area is over 35 km/h for at least twenty-five percent of the time. If the average wind speed is 25 km/h with a standard deviation of 15 km/h. Is there sufficient evidence to suggest that the project will be viable?
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A energy-generating program is proposed using wind power. Suppose that this form of energy generation is only viable if wind speed in a certain area is over 35 km/h for at least twenty-five percent of the time. If the average wind speed is 25 km/h with a standard deviation of 15 km/h. Is there sufficient evidence to suggest that the project will be viable?
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- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies bom after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 370 grams. If a 32-week gestation period baby weighs 2375 grams and a 41-week gestation period baby weighs 2675 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The baby born in week 32 weoighs relatively less since its z-score, ,is smaller than the z-score of for the baby born in week 41. B. The baby born in week 41 weighs relatively less since its z-score, ,is smaller than the z-score of for the baby born in week 32. OC. The baby bom in week 41 weighs relatively less since its z-score, ,is larger…The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%.(These weights could serve as limits used to identify which components should be rejected)A random sample of 87 eighth grade students' scores on a national mathematics assessment test has a mean score of 287. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 30. At α=0.04, is there enough evidence to support theadministrator's claim? Complete parts (a) through (e).
- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 340 grams. If a 34-week gestation period baby weighs 2275 grams and a 40-week gestation period baby weighs 2475 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?5) A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person is 3.2 pounds per year. Assume the population standard deviation is 1.17 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ>3.2 Ha: μ≤3.2 B. H0: μ≤3.2 Ha: μ>3.2 C. H0: μ≠3.2 Ha: μ=3.2 D. H0: μ≤3.3 Ha: μ>3.3 E. H0: μ=3.3 Ha: μ≠3.3 F. H0: μ>3.3 Ha: μ≤3.3 (b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. _____ (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Fail to reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3 pounds. B. Reject H0. There is…Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 390 grams. If a 32-week gestation period baby weighs 2150 grams and a 40-week gestation period baby weighs 2350 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
- In a city, it is estimated that the maximum temperature in June is normally distributed with a mean of 28° and a standard deviation of 5.4°. calculate the number of days in this month in which it is expected to reach a maximum of between 22° and 31°.A potential buyer wants to decide which of the two brands of electric bulbs he should buy as he has to buy them in bulk. As a specimen, he buys 100 bulbs of each of the two brands-A and B. On using these bulbs, he finds that brand A has a mean life of 1,200 hours with a standard deviation of 50 hours and brand B has a mean life of 1,150 hours with a standard deviation of 40 hours. Do the two brands differ significantly in quality? Use a = 0.05.A pharmaceutical company claims that they have a new drug that will significantly reduce the average recovery time for a particular operation. Until now the mean recovery time has been 21.7 hours. The next 22 patients having this operation at a large teaching hospital are treated with the new drug and the average recovery time for these patients is found to be 20.3 hours with a standard deviation of 3.47 hours. Do the data support the pharmaceutical company's claim? Test the appropriate hypothesis at a = 0.10. (a). The null and alternative hypotheses are Но: д 3D 21.7 На: и > 21.7 Но: и 20.3 На: и < 20.3 Ο H0: μ 21.7 Ha:µ < 21.7 Ho : = 20.3 Ha:ữ < 20.3 Part 2 of 6 (b). The test statistic is (use 4 decimal places)
- An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 700 days and a standard deviation of 121. BIG Corporation claims that the standard deviation of its electric bulbs is less than 121. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H. and the alternative hypothesis H that we would use for this test. Ho: O H₁: 0 μ X p a S 0<0The incubation time for Rhode Island Red chicks is normally distributed with a mean of 29 days and standard deviation of approximately 3 days. Look at the figure below and answer the following questions. If 1000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single day or a succession of days as a continuous interval of time. Assume all eggs eventually hatch.) (a) in 23 to 35 dayschicks(b) in 26 to 32 dayschicks(c) in 29 days or fewerchicks(d) in 20 to 38 dayschicksI need help.