From a distribution with mean 48 and variance 54, a random sample of size 40 is taken. Let X be the mean of the sample. Find a lower bound for P(43 < X < 53). Round your answer to four decimal places as needed. P(43 < X < 53) >
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- ANSWER IN T-DISTRIBUTION. A group of mathematics teachers wants to estimate the average computational skills of the students in senior high school. the standard deviation from the previous study is 5. how large must the sample be selected if they want to have 95% confidence of finding whether the true mean differs from the sample mean by 3.The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 20. What is the probability we could select a sample of 80 adults and find the mean of this sample is less than 95? 0.0125 0.9750 0.4875 0.9476llustration 17.8. For a binomial distribution the mean is 6 and standard deviation is 2. Write out all the terms of the distri- bution.
- f the standard deviation of a normally distributed population is 22.0 and we take a sample of size 4, then the standard error of the mean isWhich of the statements below is true about the standard error of the sampling distribution of the sample mean. It measures the variabilty of the mean from sample to sample. It is less than the standard deviation of the population. All of the above. It decreases as the sample size increases.Let x₁ represent the sample mean cost (in thousands) to remodel a kitchen and x₂ represent the sample mean cost (in thousands) to remodel a master bedroom. A point estimate for the difference in these remodeling costs is desired, so x₁ - x₂ is needed. A sample mean is calculated as follows where x, is the sum of the given values and n is the sample size. X = n The sample of costs to remodel a kitchen, in thousands of dollars, are given. Kitchen 27.2 18.4 23.8 22.9 20.7 24.0 21.7 17.9