A survey is commissioned to study the weight of NFL players at certain positions. Of the 188 active NFL running backs, a simple random sample of size 16 is selected and the sample mean is determined to be \overline{x}= 219.3 pounds. It is known that the standard deviation is σ= 6.8 pounds. Compute a 99% confidence interval for
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A survey is commissioned to study the weight of NFL players at certain positions. Of the 188 active NFL running backs, a simple random sample of size 16 is selected and the sample
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- Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. Does eye grease work? In one study, 16 student subjects took a test of visual sensitivity to light‑and‑dark contrast after three hours facing into bright sun, both with and without eye grease. This is a matched pairs design. If eye grease is effective, subjects will be more sensitive to contrast when they use eye grease. The differences in sensitivity, with eye grease minus without eye grease, are provided in the table. Differences in Sensitivity 0.070.07 0.640.64 −0.12−0.12 −0.05−0.05 −0.18−0.18 0.140.14 −0.16−0.16 0.030.03 0.050.05 0.020.02 0.430.43 0.240.24 −0.11−0.11 0.280.28 0.050.05 0.290.29 STATE: We want to know whether eye grease increases sensitivity on the average. Suppose that the subjects are an SRS of all young people with normal vision, that contrast differences follow a Normal distribution in this population, and that the standard deviation of…An interested citizen wanted to know if Democratic U. S. senators are older than Republican U.S. senators, on average. On May 26 2013, the mean age of 30 randomly selected Republican Senators was 61 years 247 days old (61.675 years) with a standard deviation of 10.17 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days old (61.704 years) with a standard deviation of 9.55 years. Do the data indicate that Democratic senators are older than Republican senators, on average? Test at a 5% level of significance. a. At the 5% level of significance, from the sample data, there is NOT sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators. b. At the 5% level of significance, from the sample data, there is sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators.According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,280 miles with a standard deviation of 2100 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, µ, is less than 13,280 miles. He takes a random sample of 21 cars under the new contracts. The cars in the sample had a mean of 12,113 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 13,280 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more…
- Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is119, with a standard deviation of 14. The college records indicate that the mean IQ score for entering students from previous years is 110 Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. A. Find the value of the test statistic and round to 3 or more decimal places. List the degrees of freedom (I have posted a picture of…A researcher thinks that life time of light bulb has a normal distribution with mean of 3000 hours and variance of 50 hours. In order to construct 80 confidence interval for the mean life time of light bulb randomly selected 16 sample light bulbs mean value 2850 hours and sample variance is hours. Find the confidence interval. (use 2 decimal point)A population has a mean of 523 and a standard deviation of 571. Suppose a sample of size 100 is selected and x-bar is used to estimate μ. Please calculate the z-score for a x_bar = 500. Tapez votre réponse...
- A survey found that women`s heights are normally distributed with a mean of 62.7 inches and a standard deviation of 2.5 inches. The survey also found that men`s heights are normally distributed with a mean of 67.3 inches and a standard deviation of 3.1 inches. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 inches. and a maximum of 63 inches. a) Find the percentage of men meeting the height requirement. Round to 2 decimal places if needed.The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1100 who were over the age of 25, and 871 of them were high school graduates, (a) Find the mean and standard deviation for the number of high school graduates in groups of 1100 Americans over the age of 25. Mean = %3D Standard deviation = (b) Is that county result of 871 unusually high, or low, or neither? (Enter HIGH or LOW or NEITHER) Give your answers exactly, or to at least 4 decimal places.A random sample of 100 accounts from a branch of certain bank, has mean balance of Rs. 18,600 with S.D.= 1160. A random sample of 80 accounts from another branch of same bank has mean balance of Rs. 15,200; with S.D.= Rs. 920. Find 90% confidence interval of difference between Mean balance of all accounts in both branches.
- According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,260 miles with a standard deviation of 1380 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, μ, is less than 12,260 miles. He takes a random sample of 27 cars under the new contracts. The cars in the sample had a mean of 12,088 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.10 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,260 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more…A survey found that women's heights are normally distributed with a mean of 62.7 inches and a standard deviation of 3.7 inches. The survey also found that men`s heights are normally distributed with a mean of 69.8 inches and a standard deviation of 3.8 inches. Consider an executive jet that seats six with a driveway height of 56.1 inches. What percentage of adult men can fit through the door without bending?A manufacturer of Energy Saving Lamps has a product life that is normally distributed with a standard deviation of 45 hours. If a sample of 32 lamps having an average life of 775 hours, find the 96% confidence interval for the population mean of all the lamps produced by this manufacturer