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# Exam Scores, Family Expenditure, Sample Proportions, And Regression Analysis Were Discussed In The Essay.

8 Pages / 1,864 Words Published On: 01-11-2020

The admissions officer for the graduate programs at the University of Adelaide believes that the average score on an exam at his university is significantly higher than the national average. Assume that the population standard deviation is 125 and that a random sample of 25 scores had an average of 1375.

1. State the appropriate null and alternative hypotheses.
2. Calculate the value of the test statistic and set up the rejection region. What is your conclusion?

c.Calculate the p- value

d.Does the p-value confirm the conclusion in part (b)?

i)

A statistician wants to estimate the mean weekly family expenditure on clothes. He believes that the largest weekly expenditure is \$650 and the lowest is \$150.

a.Estimate the standard deviation of the weekly expenditure.

b.Determine with 99% confidence the number of families that must be sampled to estimate the mean weekly family expenditure on clothes to within \$15.

ii)

The head of the statistics department in a certain university believes that 70% of the department’s graduate assistantships are given to international students. A random sample of 50 graduate assistants is taken.

a.Assume that the chairman is correct and p = 0.70. What is the sampling distribution of the sample proportion? Explain.

b.Find the expected value and the standard error of the sampling distribution of?

c.What is the probability that the sample proportion will be between 0.65 and 0.73?

d.What is the probability that the sample proportion  will be within ±0.05 of the population proportion p?

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My Assignment Help (2020) Exam Scores, Family Expenditure, Sample Proportions, And Regression Analysis Were Discussed In The Essay. [Online]. Available from: https://myassignmenthelp.com/free-samples/sta510-business-statistics/confidence-intervals-illuminate-absence-of-evidence.html
[Accessed 02 October 2023].

My Assignment Help. 'Exam Scores, Family Expenditure, Sample Proportions, And Regression Analysis Were Discussed In The Essay.' (My Assignment Help, 2020) <https://myassignmenthelp.com/free-samples/sta510-business-statistics/confidence-intervals-illuminate-absence-of-evidence.html> accessed 02 October 2023.

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