A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis $ H_0 : \mu = 12 $ against $ H_1 : \mu < 12 $ using a random sample of $ n = 4 $ specimens. Calculate the P-value if the observed statistic is $ \bar{x} = 11.25 $. Suppose that the distribution of the sample mean is approximately normal.Round your final answer to five decimal places (e.g. 98.76543).

Given thatThe company claims that mean thread elongation of 12 kilograms with a standard deviation…

Answered: A textile fiber manufacturer is…

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 company claims that the mean monthly salary for their managers is 11 thousand dollars. A sample of 64 managers has a mean monthly salary of 10.7 thousand dollars with a standard deviation of 1.2 thousand dollars . You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of alpha = 0.10 . Your hypotheses are : H_{o} / mu = 11, 000; H_{s} / mu < 11, 000 Find the test statistic , rounded 4 decimal places Find the p-value , rounded 4 decimal places .
The National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 with a standard deviation of 15. In a sample of 72 CSLA male faculty members in this age group a nursing faculty member found an average systolic blood pressure of 126. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
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A company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 days with a standard deviation of 50 days under normal condition. A quality control officer randomly selected 45 batteries from the production line and tested the longevity period of these batteries. It is found that the tested batteries had a mean life span of 260 days. a) State the appropriate hypotheses to support the claim of the CEO that the average lifetime of a battery is 270 days. b) Describe Type I and Type II errors in this context, and comment on the severity of each type of error. c) Test the hypotheses stated in part (a) at a 1% level of significance, and comment on your findings.
to evaluate the effect of a treatment, a sample is obtained from a population (mean=20), after treatment, the sample mean is found to be 21.3, with a variance (s^2) of 9. assuming that the sample consists of n=16 use a 2 tailed hypothesis test with alpha =.05 to determine whether the treatment effect is significant or not. (be sure to calcualte the t-statistics and draw a bell-shaped curve with the critical region highlighted)
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a study is done to test the claim that company A reatins its workers longer than Company B. Company A samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company B samples 21 workers and their average time with the company is 4.6 years with a standard deviation of 0.9. the populations are normally distributed. what are the test statistic and critical value?
Two different alloys are being considered for making lead-free solder used in the wave soldering process for printed circuit boards. A crucial characteristic of solder is its melting point, which is known to follow a Normal distribution. A study was conducted using a random sample of 21 pieces of solder made from each of the two alloys. In each sample, the temperature at which each of the 21 pieces melted was determined. The mean and standard deviation of the sample for Alloy 1 were = 218.9ºC and = 2.7ºC; for Alloy 2 the results were = 215.5ºC and = 3.6ºC. Reference: Ref 7-19 If we were to test H0: against Ha: , what would be the value of the test statistic (assuming equal population standard deviations)?

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