2.If X is a Normal variate with mean30 andSD 5.Find P [26

Given that mean =30 standard deviation=5

Answered: ..If X is a Normal variate with mean30…

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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= 5 and a standard deviation of a = 2. Suppose X is normally distributed with a mean of u Further suppose that a random sample of n = 50 has been taken from this population. Which of the following statements is/are true about the distribution of the associated sample mean, X? Select one or more: O a. The variability of the distribution of X will be higher than the variability of the distribution of X O b. □ C. The distribution of X will have a variance of Oh. √50 The distribution of X will have a standard deviation of 50 Od. The distribution of X will have a mean of μ 5 Of. The distribution of X will be unknown g. The variability of the distribution of X will be lower than the variability of the distribution of X 4 The distribution of X will have a variance of 50
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shipping time, μ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 34 minutes and the standard deviation of the times to be 16 minutes. Based on the information, answer the questions below.
7. Assume that X and Y have a bivariate normal distribution having means 14.l and 1.3, and standard deviations 2.5 and 0.1, respectively, with correlation coefficient 0.8. Find P(Y >1.4|X =15) and P(X >15|Y = 1.4).
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…
A sample of n = 20 scores is transformed in to z-scores. The mean for the 20 z-scores is ____? If a researcher reports t(18) = 1.30, p > .05 for a two-sample independent-measures experiment, the results were significant. T or F?
4. For a Binomial distribution of 10 trails, P(X-3) = 3P(x-4). Find the standard deviation of the distribution and P(X=2). Solution:
The mean and variance of a binomial variate X are 4 and 4/3 respectively. Find P(X ≥ 3)
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, µ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 15 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? Hiµ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? the hypothesis that u is when, in Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making?
3. Let X Pois(4). Find the distribution of Y = √X.
Consider the bivariate data shown in the table. X y 8 10.2 compute ΣΥΣΥ 9 9.3 10 8.8 11 7.1 12 6.6 13 5.3 14 4.2 15 3 16 2.9
A sample of n = 64 scores has a mean of M = 68. Assuming that the population mean is p = 60, find the z-score for this sample: If it was obtained from a population with o = 16 Z = If it was obtained from a population with o = 32 Z = If it was obtained from a population with o = 48 Z =
33. If X is a normal variate with mean u and variance X- o? and P - b< .2

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..If X is a Normal variate with mean30 and D 5.Find P [26