Z-Distribution Intervals 1. State at least two methods you may use to determine if sampling distributions may be considered normally distributed: a.
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- To make an 80% confidence interval ,which bootstrap percentiles must benused Use the percentile method 1 1st percentile and 99th percentile 2 10th percentile and 90th percentile 3 0th percentile and 80th percentile 4 5th percentile and 95th percentielIn country A, the vast majority (90%) of companies in the chemical industry are ISO 14001 certified. The ISO 14001 is an international standard for environmental management systems. An environmental group wished to estimate the percentage of country B's chemical companies that are ISO 14001 certified. Of the 550 chemical companies sampled, 396 are certified. a) What proportion of the sample reported being certified? b) Create a 95% confidence interval for the proportion of country B's chemical companies with ISO 14001 certification. (Be sure to check conditions.) Compare to the country A proportion.Assume that a sample is used to estimate a population proportion p. To find the 95% confidence interval for a sample of size 250 with 140 successes, you need to use which one the following calculator
- Part a: Using the data provided in the link (also in the excel file) determine the 95% confidence interval for the average driving time in Dallas. Assume the driving time is one-way, not round trip. http://zipatlas.com/us/tx/dallas/zip-code-comparison/average-commute-time.htm Part b: If a blogger stated that the average driving time was 28 min (one-way) would you agree with that statement? Why or why not? Data Table Average driving times by zipcode 53.1 41.1 34.8 32.9 32.8 32.7 32.6 32.6 32.6 32.4 32.3 32.2 32.2 32 31.9 31.8 30.1 29.1 28.5 28.4 28.1 28 28 27.9 27.1 26.8 25.7 25.6 25.3 25 24 23.9 23.8 23.7 23.2 22.6 22 22 21.8 21.2 21.2 20.4 19.8 19.6 17.4 16.8 16.5Suppose that, for budget planning purposes, the city in the previous exercise needs a better estimate of the mean daily income from parking fees. a) Someone suggests that the city use its data to create a 95% confidence interval instead of the 90% interval first created. How would this interval be better for the city? (You need not actually create the new interval.) b) How would the 95% interval be worse for the planners? c) How could they achieve an interval estimate that would better serve their planning needs?To construct a confidence interval, we have to make three assumptions. explain what are those Assumptions?
- To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail. (a) What percent of values must be chopped off from each tail for a 95% confidence interval? (b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?a. Create and interpret a 95% confidence interval for the difference in the two servers populationexpectations. b. The 95% confidence interval from part c. contains 0. How does this result relate to yourexplanation in part b? Explain in a sentence or two.Find a credible journal article or website where confidence intervals were used to make informed decisions regarding a real world application
- Suppose bootstrap_medians is a large array of bootstrapped medians and we want to use it to calculate a 95% confidence interval for the population median. Which one of these will find the lower bound for that interval? a. percentile(5, bootstrap_medians) b. percentile(97.5, bootstrap_medians) c. percentile(2.5, bootstrap_medians)If a 90% confidence interval for the mean is found to be (1.25,4.75) using a sample of n=100, findthe 95% confidence interval for the mean.a. Is this interval narrower or wider? Why?b. In general, explain how the sample size and the confidence level affect the width of aconfidence interval.Suppose a consumer advocacy group wants to conduct a survey to find if the proportion of consumers who bought the newest generation of an MP3 player were happy with their purchase. The survey was given to 200 customers and resulted in 175 of them being happy with their purchase. Construct a 95% confidence interval for the population proportion.