A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642). Using the information above, what total size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence? (Assume we have no information about the true population proportion).

TABLE 8-4To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and determine that their scores are: 2, 5, 8, 8, 7, 6, 5, and 7. This sample will be used to calculate a 90% confidence interval for the mean score for actuarial students in the special study program.Referring to Table 8-4, the mean of the sample is ________, while the standard deviation of the sample is ________. [Round to 1 decimal place as needed. Use ; to separate the 2 answers]

TABLE 8-4To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and determine that their scores are: 2, 5, 8, 8, 7, 6, 5, and 7. This sample will be used to calculate a 90% confidence interval for the mean score for actuarial students in the special study program.Referring to Table 8-4, it is possible that the confidence interval obtained will not contain the mean score for all actuarial students in the special class.

A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain’s new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed. Based on this sample the estimated mean is $50.50 and the estimated variance is 400. Construct a 95% confidence interval for the average amount its credit card customers spent on their first visit to the chain’s new store in the mall assuming that the amount spent follows a normal distribution.

The neutralization reaction of barium hydroxide with aqueous hydrochloric acid (HCl) leads to what two products? H2O and BaCl Ba(ClO2)2 and H2 HCl and BaOCl BaCl2 and H2O

A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain’s new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results for this sample: a sample mean of $50.50 and a sample variance of 400. Assuming the distribution of the amount spent on their first visit is approximately normal, what is the shape of the sampling distribution of the sample mean that will be used to create the desired confidence interval for μ?

Sales prices of baseball cards from the 1960s are known to possess a skewed-right distribution with a mean sale price of $5.25 and a standard deviation of $2.80. Suppose a random sample of 100 cards from the 1960s is selected. Describe the sampling distribution for the sample mean sale price of the selected cards.

TABLE 8-4To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and determine that their scores are: 2, 5, 8, 8, 7, 6, 5, and 7. This sample will be used to calculate a 90% confidence interval for the mean score for actuarial students in the special study program.Referring to Table 8-4, a 90% confidence interval for the mean score of actuarial students in the special program is from ________ to ________. [Round to 2 decimal places as needed. Use ; to separate the lower and upper bound].

Section IX: Mill’s Methods–10 points totalDirections: For each of the following cases, do three things. First, construct a chart based on the information given for each case. Second, determine which of Mill’s methods apply to each case. Third, determine the conclusion that can be derived from the method. 

Glen’s gasoline usage averaged $300 a month for 3 months. He noticed that he usually let the car warm up for 10 minutes before he drove. For the next 3 months he let the car warm up for only 2 minutes before driving. Glen’s gasoline usage for those 3 months averaged $250 a month.