In 2015, the average duration of long-distance telephone calls from a certain town was 9.4minutes. A telephone company wants to perform a test to determine whether this averageduration of long-distance calls has changed. Twenty calls, originating from the town, wasrandomly selected and tne mean duration was 10.2 minures with standard deviation 4.8minutes.a) Using a 1% level of significance, Complete the following:iv. State the decision rule.v. Give your decision based on the available sample evidence.vi. Hence, state your conclusion.

Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Answered: In 2015, the average duration of…

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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In 2015, the average duration of long-distance telephone calls from a certain town was 3.9 minutes.A telephone company wants to perform a test to determine whether this average duration of longdistance calls has changed. Fifty calls, originating from the town, was randomly selected and thefollowing summary minutes.∑ ? = 205 ∑(? − ?̅)∑(? − ?̅)2 = 56.43 a) Calculate the sample mean, ?̅. b) Calculate the sample standard deviation c) Using the p value approach at the 1% level of significance, test whether the mean duration oflong-distance calls from the town had increased. d) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town. Answer sub-parts (d)
In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66 What is the standard deviation?
Can someone answer g.) h.) and i.) please?
One researcher collected a sample of expenses for advertisement from 5 companies as follows: 50, 60, 55, 58, 72 The standard deviation is
A local steel pipe manufacturing company makes pipes . In a quality control assessment , a total of five ( 05) samples are collected with four ( 04 ) observations within each sample . The sample means ( X - bar ) are ; 14.09 , 13.94 , 16.86, 18.77 16.64 respectively . Next , the corresponding ranges are ;9.90,7.73, 7.89,7.56 , and 5.50 respectively . The lower and upper control limits of the R - chart are —————respectively . 1) None is correct 2)10.5,1 . 3) 17.59,0 0,17.32 . 4) 0,16.68
Which statistic (mean, median, or mode) is most appropriate in each of the following situations? a. Tables in the dining hall are numbered 1 through 12 for students who eat there. The principal calls out a number for the table that will go through the buffet line first. The other tables follow in order of the table numbers. One student is sure the principal calls certain tables more often. She keeps track of which numbers are called over a 21-day period. Mean O Median Mode b. The offensive line of a football team is larger than in previous years. The program will list a statistic to show this fact. O Mean O Median Mode c. A reporter is doing a story on the falling prices of homes in a large neighborhood. The reporter wants to demonstrate how the prices have fallen for the typical home, not just the most expensive houses. Mean O Median Mode
It is thought that 12% of all students taking a particular course received a grade of A. In a sample of 155 students, it is found that 21 made an A. What is the test statistic for testing the true proportion is 12%?
The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.
Define a test procedure, based on sample data, for deciding whether to reject H0?

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