Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction usedin this semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claim of $26,000. Several insurancecompanies collaborated in a data gathering experiment. They randomly selected 24 homes and sent adjusters to settle the claims. In the sample of 24 homes, theaverage claim was $28,500 with a population standard deviation of $5200. Is there sufficient evidence at a 0.02 significance level to support the claim that the homedamage is greater than the historical average? Assume the population of insurance claims is approximately normally distributed.Step 3 of 3: Draw a conclusion and interpret the decision.

The given values are:Sample size (n) = 24Sample mean (x̄) = $28,500Population standard deviation (σ)…

Answered: Hurricane Andrew swept through southern…

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 report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.5 and 25.66 minutes. What is the margin of error in this report?
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The state population is recorded as 1,200,000. There were 60,250 total deaths for the year. There were 615 confirmed cases of Hepatitis A were reported to the state health department of which 30 died. What was the cause-specific death rate for the year? Hint: Take the case specific deaths divided into the total state population. Make sure to include the % sign.
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, wherep is the proportion of defective light bulbs in a sample of 4400 when there is no ? malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 2 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
Based on a recent survey of adults in 60,000 households, a labor department reported an unemployment rate of 4.8%. The margin of error was 0.1 percentage point.
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A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test 2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).
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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
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