Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Construct a 99% confidence interval. 258 218 193 162 160 159 150 150 150 145

MATLAB: An Introduction with Applications
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  1. Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Construct a 99% confidence interval.

258 218 193 162 160 159 150 150 150 145

2.

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 23 subjects had a mean wake time of 102.0 min. After treatment, the 23 subjects had a mean wake time of 77.3 min and a standard deviation of 20.7 min. Assume that the 23 sample values appear to be from a normally distributed population and construct a 90% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 102.0 min before the treatment? Does the drug appear to be effective?

3.

In a certain survey, 511 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, facial recognition, etc.)?" Among the respondents, 52% said "yes." Test the claim that more than half of the population believes that passwords should be replaced with biometric security. Let ? = 0.05.

4.

Twelve different video games showing drug use were observed. The duration times of drug use were recorded, with the times (seconds) listed below. Assume that these sample data are used with a 0.01 significance level in a test of the claim that the population mean is greater than 80 sec.

87 15 607 53 0 52 221 41 164 0 2 56

5.

The average house price in a country in 2010 was $339,100, according to a real estate organization. Today, a consumer group randomly selected a sample of 35 house prices and found an average price of $421,320 with a standard deviation of $93,200. The group put out a press release saying "House prices have gone up by over 20% compared with 2010." Test this claim using a 95% level of confidence.

6.

A recent study investigated the characteristics of teeth in an extinct species. The values below shows the dentary depth of teeth (in millimeters) for a sample of 18 teeth. It is known that the mean dentary depth of teeth in an extinct species, Species A, is 15 millimeters. Is there evidence to indicate that the sample of 18 teeth come from an extinct species other than Species A?

18.25 19.41 19.48 15.72 16.17 19.21 15.54 17.16 13.56 16.87 15.98 17.69 13.53 15.66 18.02 13.98 14.24 16.13

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