Question 2 A data provider wants to check the monthly data consumption of people in Cape Town. Listed below is the monthly data usage in megabytes, of a sample of 15 people selected randomly, is listed below. The data provider has determined from the specifications of his routers that $\sigma = 250,672$. Your final answers must be accurate to three decimal places. 117 115 225 118 285 322 759 675 155 455 885 275 125 105 123 2.1 Determine the mean $\bar{x}$. (1) 2.2 Determine the coefficient of variation. (2) 2.3 Construct an 80% confidence interval for $\mu$. (5)
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4. An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours. a) A bootstrap sample of size 300 (the same size as the original sample) would be generated by sampling from the original sample with replacement. The standard error is about 0.458. Find and interpret a 95% confidence interval for the parameter. Round the margin of error to two decimal places. (4 pts) b) Percentiles of the bootstrap distribution are provided. Use the percentiles to report a 90% confidence interval for the parameter. (2 pts) 1% 2.5% 5% 10% 25% 50% 75% 90% 95% 97.5% 99% 6.17 6.32 6.44 6.59 6.86 7.17 7.48 7.78 7.94 8.08 8.30
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Use this information for the next several questions. A sample of 10 participants was given an experimental treatment. Test whether the sample represents a population that is different from the general population. The sample of 10 had a mean of 49. The general population of individuals has a mean of 44, a standard deviation of 6, and follows a normal curve. Carry out a Z test using the five steps of hypothesis testing with a two-tailed test at the 0.05 significance level, and identify a drawing of the distributions involved. Figure the 95% confidence interval. Question 18 (1 point) Determine a research hypothesis and a null hypothesis (for the information above). Choose the correct answer below.
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