5. Mr. C studies the strength of the material used for a baseball bat, he knows thatthe strength is approximately normally distributed with a standard deviation of 175psi. A random sample 30 specimens has a mean strength of 2,750 psi. a) What is thez-value when the mean strength is tested to be 3,000 psi, b) What will be the decisionfor the hypothesis testing with a=0.05 c) What is the minimum mean tensile strengthneeded from 30 samples, for the claim of 3,000 psi to be failed to rejected.

As per central limit theorem z score formula is given by…

Answered: 5. Mr. C studies the strength 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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A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. How is the standard deviation of the sample mean changed when the sample size is increased from n = 4 ton = 48 Round all intermediate calculations to four decimal places (e.g. 12.3456) and round the final answer to three decimal places (e.g. 98.768). The standard deviation is reduced ✓by i 1.25 psi. Statistical Tables and Charts
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 256.8 and a standard deviation of 62.1. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below.a.What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 70.5 and 443.1?b.What is the approximate percentage of women with platelet counts between 132.6 and 381.0?a. Approximately nothing��% of women in this group have platelet counts within 3 standard deviations of the mean, or between 70.5 and 443.1.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 251.5 and a standard deviation of 69.1. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8? b. What is the approximate percentage of women with platelet counts between 113.3 and 389.7? a. Approximately% of women in this group have platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 113.3 and 389.7. (Type an integer or a decimal. Do not round.)
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.8and a standard deviation of 61.5. (All units are 1000 cells/μL.)Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 124.8 and 370.8? b. What is the approximate percentage of women with platelet counts between 63.3 and 432.3?
A population has parameters u = 214.3 and o = 73.5. You intend to draw a random sample of size n = 237. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) = 20
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.4 and a standard deviation of 60.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0? b. What is the approximate percentage of women with platelet counts between 140.0 and 380.8? ..I. a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0. (Type an integer or a decimal. Do not round.)
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78. (c) How large a sample size is necessary if the width of the 95% interval is to be 0.31? (Round your answer up to the nearest whole number.) ? specimens (I have answers for a, b, and d I just need help with c, the answer is not 24.32)

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