For a standardized exam at your school, the mean score is 103 with a standard deviation of 16. You are a reporter for the school newspaper and want to knowif the standard deviation, o, is different among student athletes. To find out, you survey a random sample of 12 student athletes. You find that, for the sample,the mean score is 98 with a standard deviation of 8. If we assume the exam scores for student athletes follow an approximately normal distribution, is thereenough evidence to conclude, at the 0.05 level of significance, that the standard deviation is different among student athletes?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.HOH₁ :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the two critical values. (Round to three or more decimal places.)and(e) Can we conclude that the standard deviation of exam scores among studentathletes differs from 16?O Yes O NoIX4OXS2ロ<ロР0=0 OSO ΠΣΠPSnlnO>O

Population mean Hypothesized value of population standard deviation Sample size Sample mean Sample…

Answered: For a standardized exam at your school,…

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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The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a 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 with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…
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?
Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of students scored about 57%. Round two places.
Jared has a mean of 74 on his quizzes, with a standard deviation of 7. On his most recent quiz, he scored a 65. Is this unusual compared to how he usually performs on quizzes?
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…
Mario scored 82 on his history final. The class mean was 78 with a standard deviation of 3 points. He scored 72 on his biology final with a mean score of 65 and a standard deviation of 5 points. Which grade was better compared with the class mean referencing a normal distribution? a. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33. b. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.33 and 1.4. c. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.33and 1.4. d. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.
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.
Jack had an average score of 75 with a standard deviation of 3. Mikes z-score was 1.85. His actual score was
The average age of Amtrak passenger train cars is about 20 years. If the distribution of ages is normal and 10% of the cars are older than 24 years, find the the standard deviation.
After calculating the mean and standard deviation, how do we interpret the result, and when a variable look strange?
Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly is 120 millimeters of mercury (mm Hg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 19 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 121 mm Hg , and the sample standard deviation was 20 mm Hg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the 0.1 level of significance, can it be concluded that μ , the mean systolic blood pressure among elderly adults, is greater than 120 mm Hg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (a) State the null hypothesis H0? and the alternative hypothesis H1? . H0:? H1:? (b) Determine the type of test statistic to…
A person’s IQ must be in the upper 2% of the population to be considered into the Honor Society. If the mean score is 100 and the standard deviation is 15, what score must a person have to qualify for the Honor Society?

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