A researcher claims that felons convicted of tax fraud spend less than 18 months in jail, on average. Shetakes a random sample of 10 such cases from court files and finds that the mean is 13.8 months with astandard deviation of 3.3 months. Test the claim using a level of significance of 1%. You may assume thatthe amount of time served by these felons is normally distributed.a. What type of test will be used in this problem?Select an answerb. What evidence justifies the use of this test? Check all that apply:O The original population is approximately normalO The population standard deviation is not knownO The sample standard deviation is not knownO There are two different samples being comparedOnp > 5 and ng > 5O The sample size is larger than 30O The population standard deviation is knownc. Enter the null hypothesis for this test.HoCd. Enter the alternative hypothesis for this test.e. Is the original claim located in the null or alternative hypothesis?Select an answerf. What is the test statistic for the given statistics?g. What is the p-value for this test?h. What is the decision based on the given statistics?Select an answeri. What is the correct interpretation of this decision?Using a% level of significance, there Select an answer v sufficient evidence toSelect an answer v the claim that felons convicted of tax fraud spend less than 18 months in jail, onaverage.

The given sample size is 10, sample mean is 13.8, sample standard deviation is 3.3, and population…

Answered: A researcher claims that felons…

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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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
An industrial engineer is conducting a time study for a work element. The select time is 4.5 minutes, and the sample standard deviation of the observed time is 20 seconds. What is the appropriate sample size if the estimate is to be 5 percent of the true average time 95 percent of the time?
A study shows that Michigan teachers have measures of job dissatisfaction that are normally distributed with a mean of 3.80 and standard deviation of 0.95. If subjects with scores above 4.0 are to be given more tests, what percentage will fall into that category?
Jessica, the owner of a medium-scale native handicrafts shop, knows from experience that the time needed to assemble a piece of handicraft is normally distributed with a mean of 130 minutes and a standard deviation of 15 minutes. Above how many minutes were the slowest 15% of the assembly times. Find the closest answer.
During 2003 gasoline prices reached record high prices in 16 states United States (The Wall Street Journal, March 7, 2003). Two of the states affected were California and Florida. The American Automobile Association foundas sample mean price per gallon $2.04 in California and $1.72 per gallon in Florida. Use 40 as the sample size for California and 35 as the sample size for Florida. Suppose that previous studies indicate that the population standard deviation in California it is 0.10 and in Florida 0.08.a) Test at the 10% level the null hypothesis that the population means of the gasoline prices are equal against the alternative hypothesis that, on average, Gasoline is more expensive in California than in Florida.b) Find the p-value of this test.
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 7 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 39.4 minutes with a standard deviation of 5.5 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.025 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.
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:
In a study of facial behavior, people in a control group are timed for eye contact for a 5 minute period. They are normally distributed with a mean of 177 seconds and a standard deviation of 53 seconds. I need to find the percentage of times within 53 seconds of the mean of 177 seconds and round it one decimal place if needed.
According to the Insurance Association in US, the average annual expenditure for automobile insurance is $605. Suppose that in a simple random sample of 80 residents of New York, for most recent year their average expenditure was $638.62 with the standard deviation of $106.05. Based on these data, examine whether the average annual insurance for motorists in New York might be different from that in national level. Using the 0.05 level of significance, what conclusion do you reach? Also, construct and interpret 95% confidence interval for the population mean. Is the hypothesized mean within the interval? Is this consistent with the findings of the hypothesis test conducted?
I wanted to do a market research study estimating the average hourly wage earned by childcare workers in the bay area. How large does my sample need to be in order to have a margin of error that is less than $0.50 with a 95% confidence in the result. Assume that the standard deviation of the wages is $2 per hour.

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