Select the correct decision belownone of theseReject HaFail to reject HaFail to reject HoReject HoC18fLV%5t6.0b6Ollyh&7nСj* 008¡E9kOaltPV: escThe FICO credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scoresrange from 300 to 859 with a score of 720 or more indicating a very good credit score. An economist wants todetermine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 100 peoplehad a mean FICO score of 703. If the population standard deviation is 92, can the economist conclude that the meanFICO score is less than 720? Let a = 0.05Ialt089AE39aN2W↑SXeCdC$4f%5t6.0וום6JARAG8byh&7nu0jk9OaltРctrl{[?1backspace< >ег

Sample size(n)=100Sample mean()=703Population standard deviation()=92and

Answered: The FICO credit score is used by banks…

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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A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample of 20 adults over 50, what is the mean and standard deviation of those that wear sunglasses?
The Pew Internet and American Life Project surveyed 351 adults in 2019, asking them about their texting habits. Among men, the mean number of text messages sent per day was 54.2, and among women it was 58.6. Assume that 107 men and 244 women were sampled, and that the standard deviations were 24.3 for men and 20 for women. Can you conclude that the mean number of text messages differs between men and women? Use the a = 0.08 level. a. State the null and alternative hypotheses. Ho: H₁ V OF H₂ H₁: H₁ ✓ -3 -2 -1 0 b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: Critical value(s): homin 2 3 -3 -2 -1 0 2 3 -3 -2 -1 0 -1.756, 1.7 x c. Find the test statistic. = V -1.773 X OF (If there are two critical values, list both values separated by a comma) d. Find the p-value. H₂ 0.0771 X 2 3 ४
Most graduate schools of business require applicants for admission to take the Graduate Management Admissions Council GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. How high must an individual score on the GMAT in order to score in the lowest 11%?
The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites. a) The null and alternative hypothesis would be: O Ho: Pw = PN H1: Pw > PN Mil :ºH H1: Hw + HN %3D O Ho: Pw H1: Pw µN Ho: µw H1: µw 0.05 d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis
In your work as a biomedical engineer, you need to better understand the distribution of adults' blood pressures. Specifically, you are interested in systolic blood pressure, which is a measure of pressure within arteries when a heart beats; this is the first number in a blood pressure reading. In healthy adults, systolic blood pressure has a normal distribution with a mean of 112 mm Hg and standard deviation of 10 mmHg. Before you collect sample data, you want to predict the range in which you expect almost all of the data to fall. Which of the following represents the interval that will likely contain almost all (~99.7%) of the sample measurements of healthy adult systolic blood pressure? A) (102 mm Hg, 122 mm Hg) B) (92 mm Hg, 132 mm Hg) C) (82 mm Hg, 142 mm Hg) D) (72 mm Hg, 152 mm Hg)
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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?
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The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 2.4 Ha: Ev 2.4 (So we will be performing a two-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P(zv [ p-value = Step 4: Make a Conclusion About the…
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…
Suppose the average credit card debt for Americans is $7000 and is not normallydistributed with a standard deviation of $2400. If we sample 40 Americans, find the probabilitythat the sample mean of credit card debt is less than $6500.

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