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1.) Solve the problem. Suppose that you wish to...




1.) Solve the problem. Suppose that you wish to find P(-2 < x < 2) for a continuous uniform distribution having a minimum of -3 and a maximum of 3. If you incorrectly assume that the distribution is normal instead of uniform, will your answer be too big, too small, or will you still obtain the correct answer? Explain your thinking. In finding probability in a continuous uniform distribution the area under the graph will still equal 1 but the values are spread evenly over a range of possibilities, so that a graph results in a rectangular shape (p. 251). If it is incorrectly assumed that the distribution is normal instead of uniform, then z scores are used 2.) Find the indicated probability. The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz? Calculate probability 66 Finite population correction factor N=225 4.) Solve the problem. A normal probability plot is given below for the lifetimes (in hours) of a sample of batteries of a particular brand. Use the plot to assess the normality of the lifetimes of these batteries. Explain your reasoning. This is an example of a scatterplot used to explore sample data visually (p. 518). It shows a positive correlation between the x axis (lifetime hours of battery) and the y axis (normal score) by a distinct linear pattern. The mean of the lifetime hours of these batteries appears to be about 80 hours. However, the sample size is small, only 12 and the data does not fall exactly in a straight line. I think a larger sampling of a least 30 batteries should be tested to determine if there is a normal distribution pattern and a mean lifetime of about 80 hours. 5.) Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. When 345 college students are randomly selected and surveyed, it is found that 110 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car. Degree of confidence 99% 345 population 110 sample own car True proportion who own car 6.) Solve the problem. A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should differ by no more than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States." Find the sample size suggested by this statement. 7.) Use the confidence level and sample data to find a confidence interval for estimating the population ?. A random sample of 159 full-grown lobsters had a mean weight of 18 ounces and a standard deviation of 2.8 ounces. Construct a 98 percent confidence interval for the population mean ?. Confidence interval for population mean Sample 159 Mean 18 Std dev 2.8 98% confidence interval for population mean 8.) Use the given degree of confidence and sample data to construct a confidence interval for the population mean ?. Assume that the population has a normal distribution. The principal randomly selected six students to take an aptitude test. Their scores were: 78.2 81.3 86.1 84.2 72.8 85.2 Determine a 90 percent confidence interval for the mean score for all students. Answer 9.) Identify the null hypothesis, alternative hypothesis, assumptions needed to be met, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. Answer: Null hypothesis: Ho=50% of voters prefer Democratic candidate Alternative hypothesis: H1=520 hours Alternative hypothesis: H1=520 hours Requirements: Test statistic: P-value Conclusion about null hypothesis: Final conclusion that addresses original claim:


Paper#13419 | Written in 18-Jul-2015

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