Consider a Uniform Distribution U(19, 54), compute its standard deviation to the nearest thousandth.
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A: NNote: this probability value calculated from standard normal distribution table
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A: According to the given information, we have Mean = 73 Standard deviation = 12.5 Sample size, n = 25
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- Steve, the underpaid graduate student, is interested in determining how many final grades in Dr. Boehring’sclass vary. Steve determines that the standard deviation of final grades in Dr. Tahkstumusch’s class is 7. Steve takes a random sample of 50 final grades from Dr. Boehring’s class and computes a standard deviation of 9.Assume that the final grades in Dr. Boehring’s class are normally distributed. At the 5% significance level, do the data provide sufficient evidence to conclude that the standard deviationσof final grades in Dr. Boehring’sclass are greater than 7? Use the rejection region approach for all of the parts below. (a) Define the appropriate hypotheses (b)State and verify that the proper assumptions hold (c)Use the rejection region approach to perform the test (d) Provide support for your decision regarding the null hypothesis (e) Write a summary of your conclusion in the context of the problemA milk company unconditionally guarantees that an unopened, properly refrigerated container of its milk will be fresh for 4 days after the date stamped on the carton. The company's data shows that unopened containers remain fresh on average for 6 days, with a standard deviation of 0.43 days. Assume that the length of time milk stays fresh follows a normal distribution. What percent of the milk containers will spoil in fewer than 5 days after the date stamped?Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 20 kg. What percentage of individual adult females have weights between 73 kg and 85 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 73 kg and 85 kg? The percentage of individual adult females with weights between 73 kg and 85 kg is 23.6 % (Round to one decimal place as needed.) The percentage of samples of 64 adult females with mean weights between 73 kg and 85 kg is (Round to one decimal place as needed.)
- A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1010 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the t-value falls between - to 95 and to 95, then the company will be satisfied that it is manufacturing acceptable light bulbs. For a random sample, the mean life span of the sample is 1016 hours and the standard deviation is 24 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light bulbs? Explain. The company making acceptable light bulbs because the t-value for the sample ist= and to.95 %D (Round to two as needed.) is is notA population has a mean p= 160 and a standard deviation o=22. Find the mean and standard deviation of the sampling distribution of sample means with sample size n= 45. The mean is H- = |, and the standard deviation is o- = (Round to three decimal places as needed.)Suppose that a researcher is interested in estimating the mean systolic blood pressure, μ, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate μ. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26mm Hg, what is the minimum sample size needed for the researcher to be 95% confident that his estimate is within 5mm Hg of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
- The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is average time that takes me to wash the dishes? What is the standard deviation of the time that takes me to wash the dishes?Consider the following set of three distributions, all of which are drawn to the same scale. Identify the two distributions that are normal. Of the two normal distributions, which one has the larger variation? Q 9 The two normal distributions are Ar 1. ^. where Ar 1) and (2) and (c) P) and (4) has the larger standard deviation.ABC has compiled data on the Time spent by the Bachelor students to watch videos on TikTok. They confirm that the time spent of Bachelor Population (BP) of 1200 students follows a normal distribution with the standard deviation equal to15 minutes. XYZ choose from the population (BP) a random sample of 140 students, and he confirms that : - 60% from the sample (BS) have account to watch videos on TikTok - the average time spent to watch videos on TikTok equals 75 minutes Determine at 95% confidence level, the population (BP) proportion that have a TikTok account
