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Socially conscious investors screen out stocks from alcohol and tobacco companies in favour of more "socially conscious" enterprises. One popular measure of stock value is the P/E ratio (price to earnings ratio), with a high P/E indicating that the stock might be overpriced (pay more for less earnings). The stock index of all major stocks has a mean P/E ratio of 19.4. A random sample of 36 "socially conscious" stocks gave a P/E ratio of 17.9 with a standard deviation of 5.2. Determine, with 95% confidence, if the stocks from "socially conscious" companies are different from the mean P/E ratio of all other major stocks. Please conduct a complete hypothesis test and find the p-value.
Create a hypothesis and perform a series of tests to determine if there is any fundamental difference in the findings.
List the simple events in the sample for this experiment. Assuming that each pair of city council members has an equal chance of being selected, assign probabilities to each simple event.
In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely..
Determine the critical value. Using the critical value rejection rule, what is the statistical conclusion?
He is equally likely to select any. Billy leaves last and takes the one remaining hat. Let x be the number of cowboys who end up with the correct hat.
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22.
No information is available about its value. How large a sample size is needed to estimate it to within 0.15 with 99% confidence?
The standard deviation of test scores on a certain achievement test is 11.4. A random sample of 100 scores on this test had a mean of 71.2. Based on this sample, find a 90% confidence interval for the true mean of all scores. Complete the below:
From past experience, an automobile insurance company knows that a given automobile will suffer a total loss with probability .02, a 50% loss with probability .08, or a 25% loss with probability .15 during a year.
Comparison of paired and unpaired samples test - Identify which of the two tests (Independent samples and Paired samples) test is the preferred test and justify your choice.
You're given that the forecast for the current period of 70 turned out to be 6 units less than the actual demand. The forecast for the next period is 75.8.
What is the difference between an independent and a dependent variable? Does a regression model imply causation? Why or why not?
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