The filling variance for boxes of nuts is designed to be 0.02 or less. A sample of 41boxes of nuts shows a sample standard deviation of 0.16 ounces. Use a significantlevel of 5% to determine if the variance in the nut box fillings is exceeding the designspecification(You NEED to use BOTH the Critical-value approach and p-value approachO a) Reject the null hypothesis(b) None of the answers are correctc) Do not reject the null hypothesis

In this case, the study is aimed to compare variance, the chi-square test of single variance is used…

Answered: The filling variance for boxes of nuts…

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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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 210 engines and the mean pressure was 6.7 ibs/square inch. Assume the variance is known to be 0.64. If the valve was designed to produce a mean pressure of 6.8 ibs/square inch, is there sufficient evidence at the 0.1 level that the valve does not perform to the specifications? State the null and alternative hypothesis for the above scenario.
A company makes a device that can be fitted to car engines to improve their fuel efficiency. The company asserts that when the device is installed drivers should experience a mean increase of more than 3kilometres per litre. Assuming that the population standard deviation of increase is known to be 0.75kilomtres per litre and a sample size of 64 cars is selected with a mean of 3.25kilometres per litre, use the p-value approach to test the null hypothesis using a significance level of 0.05.
Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 279 hybrid sedans and get a mean of 27 mpg with a standard deviation of 5.25 mpg. Also, 250 non-hybrid sedans get a mean of 26 mpg with a standard deviation of 6.25 mpg. Suppose that both populations are known to be normal distributed. Conduct a hypothesis test to evaluate the manufacturers' claim. Test at a 2% level of significance. Let population 1 denote non-hybrids and population 2 denote hybrids. (a) H0 : μ1 μ2 (b) Ha : μ1 μ2 (c) In words, state what your random variable represents. The random variable is the (mean/difference in mean/difference in the) miles per gallon of non-hybrid sedans and hybrid sedans. (D) What is the test statistic?Round your answer to three decimal places (E) What is the p-value?Round your answer to three decimal places.p-value = (F) Alpha: Decision: (reject/decline to reject)…
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 130 engines and the mean pressure was4.4lbs/square inch. Assume the variance is known to be 0.49 . If the valve was designed to produce a mean pressure of4.3lbs/squareinch, is there sufficient evidence at the 0.02 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario.
A study was conducted to compare to brands of milk. Random sample A of 25 packs of milk with a mean content of 237 grams and standard deviation of 8.56 grams. Another sample B of 20 packs of milk showed a mean content of 240 grams and standard deviation of 9.75 grams. Using 0.05 level of significance will we agree that sample A exceeds that of sample B by 2 grams nutrient content, conduct hypothesis testing assuming that variances are equal.
A research tea believes that the weight of Grizzly adule male bears are normally distributed. A simple random saple of 23 Grizzly male bears yielded a mean weight of 277kg and a variance of 121. Let μ denote the mean weight for Grizzly adult male bears. Suppose the research teams wants to test, at the 5 % level of significance, whether the mean weight for Grizzly adult male bears is greater than 271kg. Suppose the assumptions to this hypothesis test are satisifed. a) What are the null and alternative hypothesis, and level of significance, for this hypothesis test? b) What is the distribution of the test statistic for this hypothesis test? c)What is the decision rule for this hypthesis test?
In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.
In attempting to improve student services, a college investigates its registration processand finds that for 12 randomly selected students, the mean registrationi timewas 73.2 minutes with a standard deviation of 14.2 minutes. Another collegei findsthat for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assumeequal population variances.

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