Directions: Identify the Rejection Region or Critical Region.battery that enables the user to use the phone for 78 hours. A sample of 50 mobilephones was checked by a customer aroup and these turned out to have an averageof 74.3 hours with a standard deviation of 6 7 hours, If a significance level of 0.10 isacceptable, is there ample evidence to prove that the true mean period of continuedcellphone usage is actually less than 78 hours without recharging?PROBLEM 2. The population variance is assumed to be unknown.A cellular phone manufacturer savs that its newly released phone has abattery that enables the user to use the phone for 68 hours. A sample of 25 mobilephones was checked by a customer group and these turned out to have an averageof 67.4 hours with a standard deviation of 3.2 hours. If a significance level of 0.10 isacceptable, is there ample evidence to prove that the true mean period of continuedmobile phone usage is actually less than 68 hours without recharging?

Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Answered: PROBLEM 1. The population variance is…

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 a study by WebCriteria, it took an average of 2.1 minutes to locate information and buy products on the Delta Airlines website, compared to an average of 2.7 minutes on the British Airways site. Assuming normal populations with equal standard deviations, data from sheet 3 contains the times (in minutes) required during visits to the two websites. In a suitable one-tail test at the 0.01 level, was the mean time for the Delta visits significantly less than that for the British Airway visits? Sheet 3 Delta British 2,12 2,44 1,40 2,51 2,03 2,48 2,00 2,88 2,34 2,60 1,63 2,38 1,96 2,77 3,36 2,96 1,69 2,82 2,01 2,45 1,86 3,29 2,08 3,05 2,61 2,03 1,62 3,18 1,67 2,65 2,17 2,94 2,69 3,31 2,34 2,93 2,25…
Given that the researcher wants to be sure the mean difference in the change in hemoglobin levels has a margin of error no more than 0.2 g/dL and the difference in the stand deviation between the mean hemoglobin levels for the two forms of iron supplements used to treat anemia is 1.2 g/dL, what is the desired number of recruits for the study, assuming the individuals will participate in a crossover trial, if the study’s attrition rate is expected to be .25? Group of answer choices n = 139 n = 554 n = 185 n = 55,320
A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. A sample of 15 bolts were tested and their variance was recorded to be 10. Stating any assumptions you need to make, test, at the 5% level, whether the bolts are meeting the established standard.
Suppose that a recent article stated the mean time spent in jail by a first-time convicted burglar is 2.7 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3.01 with a standard deviation of 1.78 years. Assume that the distribution of jail times is approximately normal. Test the claim at the level of significance 0.1. Select one: a) t_stat = 0.9 and t_cr = 1.31 : The mean time increased significantly in the new century b) t_stat = 0.9 and t_cr = 1.31 : The mean time didn’t increase in the new century c) t_stat = 0.99 and t_cr = 1.71 : The mean time didn’t increase in the new century d) t_stat = 0.99 and t_cr = 1.71 : The mean time increased significantly in the new century
On a measure of running speed on a 100 meter dash, students received timed scores ranging from 12 seconds to 24 seconds. The distribution of running times is normative with a mean of 16 seconds. Transferring this ratio data to standard scores for comparison with the results of classes from other departments, the mean score is assigned a standard score of 100 with a standard deviation of 10. From this example, a standard score of 99 would mean the actual value in seconds for an individual would be about a. 16 b. 12 c. 19 d. 24
In what percentile is an infant’s body weight of 7 pounds, if infant body weights at that age are normally distributed with mean 11 pounds, and standard deviation 2 pounds?
After the physical training required during World War II the distribution of a mile run times for male students at the University of Illinois was approximately normal with a mean of 7.11 minutes in a standard deviation of 0.74 minutes what proportion of these students can run a mile in 5 minutes or less Using the same data what percent of students would take between 6 and 8 minutes to run a mile
A non-symmetric dataset has a mean of 200 and a standard deviation of 15. Find an upper bound for the proportion of data points that are either greater than 230 or less than 170.
Suppose that a report by a leading medical organization claims that the healthy human heart beats an average of 72 times per minute. Advances in science have led some researchers to question if the healthy human heart beats an entirely different amount of time, on average, per minute. They obtain pulse rate data from a sample of 85 healthy adults and find the average number of heart beats per minute to be 76, with a standard deviation of 13. Before conducting a statistical test of significance, this outcome needs to be converted to a standard score, or a test statistic. What would that test statistic be? (Use decimal notation. Give your answer to one decimal place.) test statistic:
Given that the researcher wants to be sure the mean difference in the change in hemoglobin levels has a margin of error no more than 0.2 g/dL and the difference in the stand deviation between the mean hemoglobin levels for the two forms of iron supplements used to treat anemia is 1.2 g/dL, what is the desired number of recruits for the study, assuming the individuals will participate in a crossover trial, if the study’s attrition rate is expected to be .25? Group of answer choices n= 139 n= 186 n= 554 n= 55,320

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