Assume that in the survey of the previous problem during one month the sampleweight (kg) and sample variance were calculated asYy = 61.60,= 436.11with a sample size of n = 64.a) What are the point estimates for the population's expected value μ and itsvariance o²? What is the point estimate of the standard deviation σ of thepopulation? What is the standard error of estimate for the population mean?b) In addition, use this data to calculate the 95% t-confidence interval for theexpected value of the weight using the equation (5.17). (The quantiles of t-distribution are conveniently obtained using R by qt function. For examplet17(0.01) = qt (0.99, 17) = qt (0.01, 17, lower.tail = FALSE) = 2.567)

The question is about confidence intreval.Given :Mean of the sample ( ) = 61.60Variance of the…

Answered: Assume that in the survey of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 28 28 x 0.79741 lb 0.81023 lb s 0.00442 lb 0.00749 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1≠μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is nothing.…
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A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Let population 1 be females. Female BMI: n=69 x=29.14 s=7.41 Male BMI: n=79 x=28.18 s=5.24 The test statistic is The P-value is Construct a confidence interval appropriate for testing the claim in part (a). The ___% confidence interval estimate is ___<μ1−μ2<___.

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