The mean consumption of water per household in a city was 1239 cubic feet per month Due to a water shortage because of a drought,the city council campaigned for water use conservation by households. A few months after the campaign was started, the meanconsumption of water for a sample of 92 househoids was found to be 1157 cubic feet per month. The population standard deviation isgiven to be 251 cubic feeta. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaipn bythe city council. Would you reject the null hypothesis at a = 0.025?Round your answer to four decimal places.pvalue =iWeb. Make the test of part a using the critical-value approach and a = 0.025.Round your answer for z to two decimal places.ZobervedWeWe conclude that the mean consumption of water per household hasdue to the campaign by the city council.

Population mean (µ) = 1239Standard deviations (σ) = 251Sample size (n) = 92Sample mean (x̅) =…

Answered: The mean consumption of water per…

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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Unfortunately, arsenic occurs naturally in some ground water.† A mean arsenic level of μ = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 31 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.4 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use ? = 0.01. (a) What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.)
A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what percentage of students spend less than 12 hours in class?
The mean age when smokers first start is 13 years old with a population standard deviation of 2 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12.1 years old. Do the data support the claim at the 5% significance level?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean = 251 days and standard deviation = 12 days. What proportion of pregancies last more than 254 days?
The number of calories consumed per day for a child is normally distributed with a mean of 1544 and a standard deviation of 342. What percentage of children consumes more than 1800 calories per day?
An old medical textbook states that the mean sodium level for healthy adults is 140 mEq per liter of blood. A medical researcher believes that, because of modern dietary habits, the mean sodium level for healthy adults, μ, now differs from that given in the textbook. A random sample of 60 healthy adults is evaluated. The mean sodium level for the sample is 144 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 14 mEq. Can we conclude, at the 0.10 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. a. State the null hypothesis H0 and the the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimal places. c. Find the p-value. (Round to three or more decimal places.) d. Can we conclude that the population mean adult sodium level differs from that given in the textbook?
An advertising agency that serves a job radio station wants to estimate the mean amount of time that the station's audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 90% confident of being correct to within +/-5 minutes?
Unfortunately, arsenic occurs naturally in some ground water.† A mean arsenic level of μ = 8.3 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 41 tests gave a sample mean of x = 7.3 ppb arsenic, with s = 2.4 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8.3 ppb? Use ? = 0.01. (a) What is the level of significance? State the null hypotheses H0 and the alternate hypothesis H1 . H0 : μ ---Select--- < ≥ ≤ = > ≠ H1 : μ ---Select--- < > ≤ ≥ = ≠ (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and σ is known.The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is unknown. The Student's t, since the…
A survey found that women's heights are normally distributed with mean 62.3 inches and standard deviation 2.2 inches. Most of the live characters employed at an amusement park have height requirements of at least 54 inches Find the percentage of women meeting the height requirement?
On average, a flight reservation center can handle 190 customer calls per day with a standard deviation of 25 calls. Use the empirical rule to estimate the minimum and maximum number of calls that the flight reservation center can handle in a day.

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