Aresearcher wants to determine ifthere is a significant difference inthe amount of time it takes a USadult to read a 400-word articlewhen an individual is given either apaper or digital version. The sampleconsists of 64 select voting adults inwhich each adult experiences bothtreatments. The researcher requiredeach individual to read the paperversion first. The sample mean ofthe differences was 23.25 seconds.and the standard deviation of thedifference was 4.97. Implement a statistical test toanswer the statistical question.Provide as much detail as possible.Should you trust the results?

The objective of this question is to determine if there is a significant difference in the reading…

Answered: A researcher wants to determine if…

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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One year Perry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.81. Also, Jane had the lowest ERA of any female pitcher at the school with an ERA of 3.34. For the males, the mean ERA was 4.953 and the standard deviation was 0.724. For the females, the mean ERA was 5.079 and the standard deviation was 0.804. Find their respective z-scores. Which player had the better year relative to their peers, Perry or Jane? (Note: In general, the lower the ERA, the better the pitcher.)
A published study says that 95 percent of American children are vaccinated against measles, with a standard deviation of 1.5 percent. You draw a sample of 100 children from your community and check their vaccination records, to see if the vaccination rate in your community is the same as the nationalaverage. What distribution will you use for this test, and why?
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
An insurance company crashed four cars in succession at 5 miles per hour. The cost of repair for each of the four crashes was $414 , $453 , $405 , $240 . Compute the range, sample variance, and sample standard deviation cost of repair.
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
A second species of extra-terrestrial has a mean height of 71cm and a standard deviation of 5.3cm. An astro biologist discovers that 30% of the extra-terrestrials bump their heads when they enter their spacecraft. What is the height of the door to the space craft?
The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 110 whites surveyed, the mean life span was 48.2 years with a standard deviation of 11.2 years and of the 95 nonwhites, the mean life span was 39.3 years with a standard deviation of 16 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: Is it safe to assume thatnw≤5% of all white people born in 1900 andnnw≤5% of all nonwhite people born in 1900? No Yes Is nw≥30 and nnw≥30 ? No Yes Test the claim: Determine the null and alternative hypotheses. H0: μw μnw Ha: μw μnw Determine the test statistic. Round to four…
The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume that the standard deviation is unknown. If 19% of the Miami hotel room rates are more than $300 per night, what is the variance?
An insurance company crashed four cars in succession at 5 miles per hour. The cost of repair for each of the four crashes was $421, $469, $416, $232 . Compute the range, sample variance, and sample standard deviation cost of repair.
As reported in Runner's World magazine, the times of the finishers in the New York City 10- km run are normally distributed with mean 61 minutes and standard deviation 9 minutes. The 75th percentile for the finishing times is 67 minutes. What is the interpretation of this value?
Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is the cumulative proportion stated as a percentage: the percentage of all scores that were lower than this one. In 2019, the scores on the Mathematics portion of the SAT were close to Normal, with mean 528528 and standard deviation 117. Joseph scored 411.411. What was his percentile?
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.

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