Data on fifth-grade test scores (reading and mathematics) for 408 school districts in California yield Y = 633.3 and standard deviation sy = 19.1.The 95% confidence interval for the mean test score in the population is ( 631.45, 635.15 ). (Round your responses to two decimal places.)When the districts were divided into districts with small classes (< 20 students per teacher) and large classes (2 20 students per teacher), the following results werefound:Class SizeAverage Score (Y)Standard Deviation (sy)Small644.319.0228Large637.017.5185Is there statistically significant evidence that the districts with smaller classes have higher average test scores?The t-statistic for testing the null hypothesis is 4.06. (Round your response to two decimal places.)The p-value for the test is|. (Round your response to six decimal places.) Hint: Use the Excel function Norm.S.Dist to help answer this question.

Given : Let sample 1 be Small class size sample 2 be Large class size The claim to be tested :

Answered: When the districts were divided into…

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 famous welfare association in Karachi claims that it takes 9 minutes on average to reach its destination in emergency situations. To test this claim, the agency which licences ambulance services had them timed on 50 emergency calls, getting a mean of 10.4 minutes with a standard deviation of 2 minutes. At the 5% significance level test the claim that the average time the ambulance takes to reach its destination is 9 minutes.
The mean voltage and standard deviation of 10 batteries from each manufacturer were measured. The results are summarized in the following table. Manufacturer ASample mean voltage(millivolts): 191Sample standard deviation (millivolts) 1 Manufacturer BSample mean voltage(millivolts): 187Sample standard deviation (millivolts) 4 What type of hypothesis test should be performed? Unpaired t-testLeft-tailed z-testPaired t-testTwo-tailed z-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α = 0.05 significance level? A) YesB) No
Suppose that 12 bags of skittles contained on average 27.85 pieces of candy with a standard deviation of 2.7 pieces of candy. For the purposes of this exercise, assume that these bags of skittles is representative of all the bags of skittles and distribution number of candies per bag is aproxiamtely normal. Does the sample data provide convincing evidence that the average number of skittles in each bag is less than 30. Test appropriate hypotheses using a .01 significance level, round your statistic to the appropriate number of decimal places to use the correct chart and round everything else to 4 decimal places. Follow the seven step process used in Algorithm 10.9
7) A tire manufacturer has been producing tires with an average life expectancy of 26,000 miles. Now the company is advertising that their new tires' life expectancy has increased. In order to test the legitimacy of their advertising campaign, an independent testing agency tested a sample of 85 of their tires. The agency found the mean of the 85 tires to be 27,000 miles and the standard deviation to be 3,970 miles. Use a 0.01 level of significance and test to determine whether the company is using legitimate advertising. (Show all seven steps.)
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.2 minutes with a standard deviation of 1.6 minutes. At the 0.05 level of significance, test the hypothesis that the mean waiting time for bus number 14 during peak hours isles than 10 minutes. What is the p-value for this test? Group of answer choices 4.97e-7 or 0 (zero or a very small number) from the t-distribution 0.999999503 -7.42 0 (zero or a very small number) from the z-distribution
It is known that the amount of glass households in Phoenix recycled 10 years ago is normally distributed with a mean of 3.6 pounds of glass per week. Phoenix municipal waste recently chose a simple random survey of 24 households and found they recycled an average of 3.8 pounds a week with a standard deviation of 0.5 pounds. Using a significance level of 0.05, is this evidence that the amount of glass recycling has changed? Write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it. Your audience is people who have never had a statistics class (think of middle of the road 8th graders, not the really bright ones). Is there anything about the sample data suggesting that the methods we learned should not be applied?
Based on the information from the U.S census bureau the mean travel time to work in minutes for all workers 16 years old and older was 27.5 minutes. A large company with offices in several states randomly sample 85 of its workers to ascertain their commuting times. The sample mean was 23.6 minutes,and the population standard deviation is 5.41 minutes. At the 0.05 level of signifance can it be concluded that the mean commuting time is less for this particular company
10. The Bank of New England is concerned about the amount of debt being accrued by customers using its credit cards. The Board of directors decided to install an expensive monitoring system if the mean for all the bank’s customers is greater than $2000. The bank randomly selected 100 credit card holders and determined the amounts they charged. For this sample group the mean is $2190 and standard deviation is $760. Use 0.02 level of significance to test the claim that the mean amount charged is greater than $2000. Based on the results of testing, will the monitoring system be implemented?

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