An educational Researcher found that 18 randomly selected studentsfrom private school has an average NCEE score of 84 with a standarddeviation of 16, while a random sample of 24 students from a publicschool showed an average score of 80 with a standard deviation of 12. Isthere any evidences to show that the students from the private schoolperformed better than those from the public school in the NCEEexamination using the 0,05 level? *

Answered: Image /qna-images/answer/84cbc214-3c64-4abd-8939-9fa09299c165.jpg

Answered: An educational Researcher found that 18…

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.
In 2018, a study was conducted that stated that the average commute time to work for Kern County residents was 22.6 minutes. Suppose you were hired to determine if the average commute time is different than it was in 2018. You randomly sample 87 individuals who commute to work from Kern county and you find that their average commute time was 20.8 minutes and you find the standard deviation of commute times for those 87 individuals was 3.6 minutes. Carry out the appropriate hypothesis test at the a = 0.05 level of significance to determine if the average commute time differs from what it was in 2018.
A sample of 200 corporate managers produced the mean job-related stress score of 7.9 with a standard deviation of .65. Another sample of 300 college professors produced the mean job-related stress score of 5.4 with a standard deviation of .90. The null hypothesis is that the mean job-related stress score for all corporate managers is equal to the mean job-related stress score for all college professors. The alternative hypothesis is that the mean job-related stress score for all corporate managers is not equal to the mean job-related stress score for all college professors. The significance level is 1%. What are the critical values of z? a. –2.33 and 2.33 b. –2.17 and 2.17 c. –1.96 and 1.96 d. –2.58 and 2.58
A credit bureau analysis of undergradute students' credit records found that the average number of credit cards in an undergraduate's wallet was 4.9 ("Undergradute Students and Credit Cards in 2004," Nellie Mae, May 2005). It was also reported that in a random sample of 121 undergradute, the sample mean number of credit cards that the students said they carried was 2.6. The sample standard deviation was not reported, but for purpose of this exercise, suppose that is was 1.2. Test a hypothesis to check whether there is convincing evidence for the mean number of credit cards that undergradutes report carrying is less than the credit card bureau's figure of 4.09, with a significance level α = 0.01
A student at a four-year college claims that the mean enrollment at four-year colleges is higher than a two-year colleges in the United States. Two surveys are conducted. Of the 35 two-year college is surveyed, the main enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges surveyed, the main enrollment was 5,466 with a standard deviation of 8,191. Test to claim at 5% level of significance. What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.05 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test statisticz or t= p-value= compare p-value to a (eg. p-value greater than or less than a) decision (reject Ho/Failed to reject) evidence (enough/not…
The average number of calories from a fast food meal for adults in the US is 842 calories. A nutritionist believes that the average is higher than reported. They sampled 32 meals that adults ordered and found the sample mean to be 858 calories with a standard deviation of 49 calories. What are the null and alternative hypotheses?
The Sunny Dale Bank monitors the time required to serve customers at the drive-through window because it is an important quality factor in competing with other banks in the city. After analyzing the data gathered in an extensive study of the window operation, bank management determined that the mean time to process a customer at the peak demand period is 5 minutes, with a standard deviation of 1.5 minutes. Management wants to monitor the mean time to process a customer by periodically using a sample size of six customers. Assume that the process variability is in statistical control. Design an x-chart that has a type I error of 5 percent. That is, set the control limits so that there is a 2.5 percent chance a sample result will fall below the LCL and a 2.5 percent chance that a sample result will fall above the UCL. After several weeks of sampling, two successive samples came in at 3.70 and 3.68 minutes, respectively. Is the customer service process in statistical control?
A study claimed that the competence of Engineers is described as moderately competent having an average performance rate of 4.02 (based in the Likert Scale on side). A researcher-engineer would like to test this claim by surveying randomly selected 55 engineers from a company consisting of 110 engineers. The researcher found out that the mean performance of 55 engineers is 3.35 having a standard deviation of 0.3519. Is there enough evidence to support the claim that the competence of engineers is different from 4.02 using 0.01 significant level?
condé nast traveler conducts an annual survey in which readers rate their favorite cruiseship. All ships are rated on a 100-point scale, with higher values indicating better service.A sample of 37 ships that carry fewer than 500 passengers resulted in an average ratingof 85.36, and a sample of 44 ships that carry 500 or more passengers provided an averagerating of 81.40. Assume that the population standard deviation is 4.55 for ships that carryfewer than 500 passengers and 3.97 for ships that carry 500 or more passengers.a. What is the point estimate of the difference between the population mean rating forships that carry fewer than 500 passengers and the population mean rating for shipsthat carry 500 or more passengers?
The director of the IRS has been flooded with complaints that people must wait more than 55 minutes before seeing an IRS representative. To determine the validity of these complaints, the IRS randomly selects 400 people entering IRS offices across the country and records the times which they must wait before seeing an IRS representative. The average waiting time for the sample is 57 minutes with a standard deviation of 3 minutes. Is there overwhelming evidence to support the claim that the wait time to see an IRS representative is more than 55 minutes at a 0.005 significance level? Step 1 of 3: Find the value of the test statistic. Round your answer to three decimal places, if necessary. Answer Tables Keypad Keyboard Shortcuts
The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1130 who were over the age of 25, and 922 of them were high school graduates. (a) Find the mean and standard deviation for the number of high school graduates in groups of 1130 Americans over the age of 25. Mean = 926.6 Standard deviation = 12.9933
The BDHS reported that the mean cholesterol level in 2020 for all adults was 203 in a certain area. Around a sample of 3,310 participants were questioned about the cholesterol levels who attended the last month survey and it is found that mean cholesterol level is 200.3 with a standard deviation of 36.8. Is there any statistical evidence of a difference in mean cholesterol levels in that area? Conduct the test at 1% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Но : д — 203 Н : д + 203 Но : д + 203 Н] :д — 203 Но : и — 200.3 Ні : д > 200.3 Ho : µ = 200.3 H1 : µ < 200.3 C. After conducting the appropriate significance test, the test statistic was found to be -4.22. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 Fail to reject Ho, because -4.22 falls outside the…

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