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An employee survey conducted two years ago Packard Motors Inc. found that 53% of its employees were concerned about future health care benets. A random sample of 80 of these employees were asked if they were concerned about the future health care benets. Answer the following assuming that there has been no change in the level of concern about the health care benets compared to the survey two years ago.
a) What is the standard error of the sample proportion who are concerned?
b)What is the probability that the sample proportion is less than 0.5?
c)What is the upper limit of the sample proportion such that only 3%of the time the sample proportion would exceed this value
Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time. Find the probability that among the 60 trains 38 or fewer arrive on time.
Construct a 95% confidence interval for the proportion of all those who experience some type of discomfort.
What is the mean of the sample proportion of pieces of unread mail? What is the standard error of the sample proportion?
A burglar plans his crimes so carefully that the lengths of the burglary are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given burglary runs between 51.0 and 51.5 minutes.
Is the Euro fair? Soon after the Euro was introduced as currency in Europe, it was widely reported that someone had spun a Euro coin 250 times and gotten heads 140 times. We wish to test a hypothesis about the fairness of spinning the coin.
The two cars drove a combined total of 1450 miles, and the sum of their fuel efficiencies was 40 miles per gallon. What were the fuel efficiencies of each of the cars that week?
The test statistic for a two-sided significance test for a population mean is z = -2.12. What is the corresponding P -value?
Briefly discuss probability distributions. What is a normal distribution? Please provide a written example of how 'understanding distribution' can be an asset for any business project.
(a) State the hypothesis for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances. Interpret these results. (c) Is the difference in mean scores large enough to be important?
Based on these results, a confidence interval for the population mean is found to be u = 5.7 PLUS OR MINUS 4.4. Find the degree of confidence.
Compute the test statistic. Use the t distribution table to compute a range for the p value. What is the rejection rule using the critical value? What is the conclusion?
Assume that we know from previous studies that the population mean for minutes of exercise per week for college students is Uu= 100 with a standard deviation =25
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