The amount of water consumed each week by Bronx residences is normally distributed. The population mean of water consumption is 120.3 gallons with astandard deviation of 10.0 gallons. Test the claim at the 0.10 significance level that the average amount of water consumed is not 125 gallons with a samplesize of 100 residences.What are the hypotheses?Null: H = 125Alternate: H =125Null: u = 125%3DAlternate: H < 125Null: U = 125Alternate: u > 125Null: u = 125Alternate: H 125Save AlL Answers

We have given that the population mean of water consumption 120.3 gallons with a standard deviation…

Answered: The amount of water consumed each week…

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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The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10, 798. Find the P-value? Should the null hypothesis be rejected at alpha = .05 level of significance?
The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10, 798. Find the Z statistics? Should the null hypothesis be rejected at alpha = .05 level of significance?
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 170 engines and the mean pressure was 6.7 6.7 lbs/square inch. Assume the standard deviation is known to be 1 1 . If the valve was designed to produce a mean pressure of 6.6 6.6 lbs/square inch, is there sufficient evidence at the 0.05 0.05 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario.
The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.78 ounces with a standard deviation of 0.41. At alpha/a = .05, what is the null hypothesis?
The local police department attempted to estimate the average vehicle speed along a strip of the main street. Using a hidden radar, the speed of a random group of 32 vehicles was measured, yielding a sample average of 36 mph. Assume a population standard deviation of 4 mph Police are adding a new warning sign on Main Street, which they assume will reduce average speeds. The null hypothesis is that the new speed has not changed, with an average content of 36 mph and a standard deviation of 4 mph. After the sign is raised, the average speed of 4 vehicles is measured at 34 miles per hour. i. What is the z score of this change, under the sampling distribution of the null? ii. Should we use a one - tailed or two - tailed test? iii. What is the p value for this z score under this test?
The sodium content of a popular sports drink is listed as 240 mg in a 32-oz bottle. Analysis of 10bottles indicates a sample mean of 248.2 mg with a sample standard deviation of 18mg. (a) Write the hypotheses for a two-tailed test of the claimed sodium content. (b)Calculate the t test statistic to test the manufacturer’s claim. (c) At the 5 percent level ofsignificance (α = .05), does the sample contradict the manufacturer’s claim?

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