A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be aquality credit risk. According to a survey, the mean credit score is 702.4. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. Heobtained a random sample of 41 high-income individuals and found the sample mean credit score to be 721.3 with a standard deviation of 80.9. Conduct the appropriate test to determine if high-incomeindividuals have higher credit scores at the a= 0.05 level of significance.State the null and alternative hypotheses.Ho HH₁ H(Type integers or decimals. Do not round.)Identify the t-statistic.to = (Round to two decimal places as needed.)Identify the P-value.P-value= (Round to three decimal places as needed.)Make a conclusion regarding the hypothesis.the null hypothesis. Theresufficient evidence to claim that the mean credit score of high-income individuals is

Answered: ality credit risk. According to a…

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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Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 63.9 inches. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 3.8 inches. Click here to view a partial table of areas under the standard normal curve. Set up the hypotheses for the one-mean z-test. Ho:H = 62.7 Ha H 62.7 The test statistic is z= (Round to two decimal places as needed.)
The army reports that the distribution of head circumference among soldiers is approximately normal with mean 22.8 inches and standard deviation 1.1 inches. Helmets are mass produced for all except the smallest 5% and the largest 5% of all head sizes. Soldiers in the smallest or largest 5% get custom-made helmets. What head sizes get custom-made helmets?
The average time taken for your Internet service provider to remotely resolve a trouble ticket has a Normal distribution, with a mean of 4.3hours and a standard deviation of 3.1 hours. What percent of the time can you expect to wait longer than a full (8-hour) business day for a resolution?
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was 9 months (3/4 year) with a standard deviation of 2 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old. Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) Part (e) What is the test statistic? (If using…
Scientists experimenting with cancerous cells wish to control the number of T-cells in a petri dish, with a standard deviation of 500 cells. Determine the number of tests that the scientists will need to perform in order to ensure that population mean number of T-cells is accurate to within 100 cells, at the 1% significance level.
The combined math and verbal scores for females taking the SAT-I test are normally distributed with a mean of 998 and a standard deviation of 202 (based on date from the College Board). If a college includes a minimum score of 1100 among its requirements, what PERCENTAGE of females do not satisfy that requirement? Write your answer as a percent! Use Excel to obtain more accuracy.
An economist was curious if the mean yearly amount of seafood consumed in Sweden is significantly different than the mean yearly consumption in the United States. They randomly selected 125 citizens in Sweden and determined their sample mean is 12 kg with a standard deviation of 5.2 kg. The 140 randomly selected U.S. citizens had a sample mean of 9.7 kg with a standard deviation of 5.8 kg. Is this sufficient evidence to say that the mean consumption is different? Which are the correct hypothesis statements for this situation? Hoμs Hus HAμs=Pus H。 ¦ µ¸ = Pus HAμs Hus Hoµs=Pus HAHs>Hus Hop=0.10 ΗΑ : μ > 0. 10
According to a recent report from the U.S. National Center for Health Statistics, females between 25 and 34 years of age have a bell-shaped distribution for height, with mean of 65 inches and standard deviation of 3.5 inches. Between what values would you expect 95% of the heights to fall? What is the height for a female who is 3.5 standard deviations below the mean? Would this be an unusual height? Why or why not? ****I am unsure on how to actually set this formula up. Please assist
2. Hypothesis: A one hour GRE workshop increases test scores. Sample Data: Mean of 25 people who did workshop = 156 (standard deviation = 8.2); mean of 27 people who did not do workshop = 154 (standard deviation 7.6).
A researcher would like to estimate the mean amount of money that a family spends to within $75. If the amount spent by a family is considered to be normally distributed with a standard deviation of $412, what sample size would be necessary to be 93% confident?
The National Coalition on Healthcare suggests that the mean annual premium that a health insurer charges an employer for a health plan covering a family of four averaged $13,000 in 2009. A sample of 30 families of four yields a mean annual premium paid by their employer to be $13,500 with a sample standard deviation of $300. We are interested in whether the mean annual premium that a health insurer charges an employer for a health plan covering a family of four is different from $13,000 using a significance level of 0.10. Select one: a. tdata = 9.129, do not reject Ho. b. tdata = 9.129, reject Ho. c. tdata = -9.129, do not reject Ho. O d. tdata = 4.156, reject Ho.
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?

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