07A statistics professor wants to determine whether the average grade on Assignment 1 differssignificantly from 23 (A average).a) State the null and alternative hypotheses.b) Based on the t-test in the following table 1, make a decision regarding the nullhypotheses.c) Explain the results observed in (b).assign1assign1t-4.944Ndif1514Mean21.0333Std. Deviation1.54072Test Value = 23MeanSig. (2-tailed) Difference.000 -1.96667Table 1: T-testStd. ErrorMean3978195% ConfidenceInterval of theDifferenceLowerUpper-2.8199 -1.1134

Answer:- Given, A statistics professor wants to determine whether the average grade on Assignment 1…

Answered: A statistics professor wants to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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5) How many commuters must be randomly selected to estimate the mean driving time of 5) Chicago commuters? We want 98% confidence that the sample mean is within 5 minutes of the population mean, and the population standard deviation is known to be 7 minutes. a. Shade and label the missing parts in graph for a 98% confidence interval. (You may use Excel or a calculator to find the z-score. Round the z-score to two decimal places.) Area to the Area to the Area in the right = left = middle = z = b. The minimum number of commuters that must be randomly selected to be within 4 (You must show how you set up and calculate this answer. Only minutes is having calculator work will not count.)
a) The final grades of forty students were randomly selected, recorded and inputted intoMINITAB. The results are summarized in Exhibit 1 below.One-Sample Z: GradeTest of mu = 85 vs ≠ 85The assumed standard deviation = 5.25 Variable N Mean StDev SE MeanGrade 40 87 5.25 *i. Calculate the value of *? ii. State the null and alternative hypotheses for the test. iii. What is the value of test statistic for this test.? iv. Calculate the p-value for this test. v. State the conclusion of this test at the 1 % level of significance. Give a reason for youranswer. b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Overa period of time, it has been established that the volume of liquid in the cans follow anormal distribution with mean of 335 ml and standard deviation of 3 ml.A setting on the machine is altered, following which the operator suspects that themeanvolume of liquid discharged by the machine into the cans has decreased. He takes arandom sample of 50…
There was a study was conducted and two types of engines, A and B, were compared. Fifty experiments were performed using engine A and 75 using B. The average gas mileage for A was 36 mpg, and 42 mpg for B. Assume population standard deviations for A and B are respectively 6 and 8. a) What is the point estimate? b) What is the margin of error? c) Construct the 95% confidence interval for the difference of population mean gas mileages for negines A and B
Sample of 40 sizes were taken from Group A and a sample of 39 sizes were taken from Group B. Group A had a sample average of 3.5 and Group B had a sample average of 3.9. Group A standard deviation is 1.1 and standard deviation of Group B is 1.9. Test to see if there is a statistically significant difference between the average sizes using a 5% level of significance. Which is the most logical conclusion: 1) There is not enough evidence to support that the mean sizes are different or 2) We reject the null hypothesis that there is no difference between the mean sizes? Why?
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
The Coffeebuck is a famous café with latte would like to open a new branch at Kuala Lumpur. The taste consistency of the latte is very important to make sure the quality of latte remains. They believe that each latte has an average of 4 oz of espresso. A random sample of 25 lattes shows a mean of 4.6 oz of espresso and a standard deviation of 0.22 oz. a) State the hypothesis (null and alternative) b) Compute the test statistics and determine the critical value (Use ? = 0.05 level of significant). c) Determine whether the null hypothesis is rejected or not rejected.
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a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, ?̅ = 14.9 mm and a standard deviation, s = 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, in symbols, the null and alternate hypotheses for this test. ii. State, with reasons, whether a t-test or a z-test will be appropriate. iii. (Determine the rejection region(s) of the test. iv. Calculate the value of the test statistic. v. State, with reason, a valid conclusion for the test.
Using the proper symbols, write the null and alternative hypotheses for each scenario below. a) The Sleep Foundation says that adults should get at least 7 hours of sleep a night. A researcher surveyed 25 students from a small college is Maine and asked, among other things, how much sleep they got the night before. The sample had a mean of 5.6 and a standard deviation of 0.72. Is this evidence that the average amount of sleep that college students get is less than the recommended amount?b) A diet guide says that you will get an average of 120 calories from a serving of vanilla yogurt. Consumer Reports tested 11 brands of vanilla yogurt and found the mean to be 132 with a standard deviation of 6.32. Is this evidence that what the diet guide claims is different from what the researchers found?
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We want to know if there is a difference between the mean list price of a three bedroom home, μ3, and the mean list price of a four bedroom home, μ4, H0:μ3=μ4 versus Ha:μ3≠μ4. Suppose we get a p-value of 0.1325, which is the proper conclusion of this test? a) We accept the null hypothesis at 5% significance. There is extremely strong evidence of a significance difference between the mean list price of three bedroom homes and the mean list price of four bedroom homes. b) We reject the null hypothesis at 5% significance. There is no evidence of a significance difference between the mean list price of three bedroom homes and the mean list price of four bedroom homes. c) We fail to reject the null hypothesis at 5% significance. There is no evidence of a significance difference between the mean list price of three bedroom homes and the mean list price of four bedroom homes. d) We reject the null hypothesis at 5% significance. There is extremely strong evidence of a significance difference…

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