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A hospital administrator is concerned about the waiting times for patients in the emergency room. She records the waiting times (in minutes) of a random sample of 32 patients, which are shown below: 133 263 99 192 401 318 202 120 136 195 167 237 89 238 186 137 256 172 333 210 158 74 165 321 219 124 203 371 136 160 81 192 From these data, the sample mean is calculated to be 196.5 minutes. Suppose the standard deviation of all waiting times in this emergency room is known to be 78.4 minutes. (a) We have no knowledge about whether waiting times follow a normal distribution. Why is it nevertheless appropriate to use inference methods which rely on the assumption of normality? (b) Construct a 97% confidence interval for the true mean emergency waiting time for this hospital. Explain how you find the critical value. (c) Provide an interpretation of the interval in (b). (d) Conduct a hypothesis test at the 3% level of significance to determine whether the true mean emergency room waiting time differs from 3 hours (i.e., 180 minutes). Show all of your steps, including the hypotheses, the calculation of the test statistic and P-value, and a properly worded conclusion. (e) Interpret the meaning of the P-value you calculated in (d). (g) Could the interval in (b) have been used to conduct the test in (d)? If no, explain why not. If yes, explain why, and explain what your conclusion would have been and why.
If Xbar is the sample mean diameter for a random sample of n = 16 rings, where is the sampling distribution of Xbar centered, and what is the standard deviation of the Xbar distribution?
Suppose that this mean applies to the population of all Ultra batteries. Complete the statements about the distribution of lifetimes of all Ultra batteries.
The following data were obtained from an independent measures study. Determine if there is a significant difference between the treatments. Use a significant level of .01.
Explain, to a person who has never had a course in statistics, what you have done. (c) Note the ways in which the means and standard deviations differ.
A fast-food franchiser is considering building a restaurant at a certain location. Based on financial analysis, a site is acceptable only if the number of pedestrians passing the location averages more than 100 per hour.
Compare the standard deviation for the heights of males and the standard deviation for the heights of females in the class. Compare the values and explain what can be concluded based on the numbers.
Which of these variables are discrete and which are continuous random variables?
Using a normal distribution with a mean of 1118 and a standard deviation of 52 for the weights of steers, what percent of steers weigh over 1250 pounds, under 1100 pounds, between 1000 and 1150 pounds.
Compute the 95% confidence interval for the percent of homeowners who are dissatisfied with their homeowner's insurance policy.
A sample of n = 25 participants and obtains a t statistic of t = 2.21. Which of the following is the correct decision for a two-tailed test?
Based on surveys conducted in 1989 and 1999, a researcher compared the proportion of high school age females interested in a career in science in 1989 with the proportion in 1999. He concluded that the proportions were not significantly different ..
The American Automobile Association checks the prices of gasoline before many holiday weekends.
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