Question: Question: Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 n y s
Question:
Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 n y s
Reading time 5 7 15 12 8 7 10 11 9 13 10 6 11 8 10 8 7 6 11 8 20 9.10 2.573
Comprehension 60 76 76 90 81 75 95 98 88 73 90 66 91 83 100 85 76 69 91 78 20 82.05 10.88
Using the reading comprehension data, is there significant evidence that the reading program would produce for incoming freshmen a mean comprehension score greater than 80, the statewide average for comparable students during the previous year? Determine the level of significance for your test. Interpret your findings.
10.
The vulnerability of inshore environments to contamination due to urban and industrial expansion in Mombasa is discussed in the paper "Metals, Petroleum Hydrocarbons and Organo- chlorines in Inshore Sediments and Waters on Mombasa, Kenya" [Marine Pollution Bulletin (1997) 34:570-577]. A geochemical and oceanographic survey of the inshore waters of Mombasa, Kenya, was undertaken during the period from September 1995 to January 1996. In the survey, suspended particulate matter and sediment were collected from 48 stations within Mombasa's estuarine creeks. The concentrations of major oxides and 13 trace elements were determined for a varying number of cores at each of the stations. In particular, the lead concentrations in sus-pended particulate matter (mg kg21 dry weight) were determined at 37 stations. The researchers were interested in determining whether the average lead concentration was greater than 30 mg kg21 dry weight. The data are given in the following table along with summary statistics and a normal probability plot. Lead concentrations (mg kg21 dry weight) from 37 stations in Kenya 48 41 3 53 44 37 41 13 10 55 52 39 62 38 23 27 46 32 17 32 41 23 12 11 5 30 11 9 7 11 77 210 38 112 52 10 6
a. Is there sufficient evidence (a 5 .05) in the data that the mean lead concentration exceeds 30 mg kg21 dry weight?
b. What is the probability of a Type II error if the actual mean concentration is 50?
c. Do the data appear to have a normal distribution? d. Based on your answer in (c), is the sample size large enough for the test procedures to be valid? Explain.
11.
The housing department in a large city monitors the rent for rent-controlled apartments in the city. The mayor wants an estimate of the average rent. The housing department must deter- mine the number of apartments to include in a survey in order to be able to estimate the average rent to within $100 using a 95% confidence interval. From past surveys, the monthly charge for rent-controlled apartments ranged from $1,000 to $3,500.
Suppose the mayor's staff reviews the proposed survey and decides that in order for the survey to be taken seriously the requirements need to be increased.
a. If the level of confidence is increased to 99% with the average rent estimated within $50, how many apartments need to be included in the survey?
b. Suppose the budget for the survey will not support increasing the level of confidence to 99%. Provide an explanation to the mayor, who has never taken a statistics course, of the impact on the accuracy of the estimate of the average rent of not raising the level of confidence from 95% to 99%.
12.
The housing department in a large city monitors the rent for rent-controlled apartments in the city. The mayor wants an estimate of the average rent. The housing department must deter- mine the number of apartments to include in a survey in order to be able to estimate the average rent to within $100 using a 95% confidence interval. From past surveys, the monthly charge for rent-controlled apartments ranged from $1,000 to $3,500. How many renters must be included in the survey to meet the requirements



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