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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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 following data are the daily number of minutes of smartphone use for a random sample of 8students at your institution: 117, 156, 89, 72, 116, 125, 101, 100.(You may use t(df=7, 0.05) = -1.895) (a) Test the null hypothesis according to which the true mean is greater or equal to 100 minagainst the alternative that it is less than 100. Use a significance level of 5% (state the test statistic and the conclusion).
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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.7 hours.Use the Empirical Rule to answer the following questions.a) 68% of the students spend between hours and hours on Statistics each week.b) 95% of the students spend between hours and hours on Statistics each week.c) 99.7% of the students spend between hours and hours on Statistics each week.
This is an A level Mathematics question. It is on Type of Errors from Hypothesis Testing. Thank you very much for your help.
New York State claims that the average cost for gasoline is less than $2.60 per gallon.You think this information is incorrect, so you travel to 41 different gas stations and findthat the mean cost of gas is $2.57 per gallon. Assume the population standard deviationis $0.25 per gallon. Is there enough evidence to support the claim for ? = 0.01? Be sureto identify the null and alternative hypotheses.
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 22 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week. Check Answer 100% 69°F Cloudy
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
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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 30 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.7 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week.

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