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Please state whether the statement is true or wrong and state briefly why:
1. A fastener manufacturing company uses a chi-square goodness of fit test to determine if a population of all lengths of ¼ inch bolts it manufactures is distributed according to a normal distribution. If we reject the null hypothesis, it is reasonable to assume that the population distribution is at least approximately normally distributed.
2. In testing the difference between two means from two independent populations, the sample sizes do not have to be equal to be able to use the Z statistic
3. The least squares simple linear regression line minimizes the sum squares of the vertical deviations between the line and the data points.
Would it be appropriate to say the coefficient of determination (R-squared) is the proportion of variation in Y due to the variation within each of the categories of X?
The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?
Assuming the population variances from both offices are equal, is there evidence of a difference in the mean waiting time between the two offices? Use α = 0.05
You will be graded on accuracy, completeness (addressing each point above), and effectiveness (utility, ease of reading).
Interpret coefficient on log (salesm). If salesm were to be increased by 20%, what would be estimated change in mktgp? Would this effect be substantive?
The profit from selling food at an outdoor cafe depends on the number of hours of sunshine through the formula, Profit = 1000(1-(e -x /10)). Find the expected level of profit.
Compute the appropriate test statistic to test Ho: p = 80/100 vs. Ha: p > 80/100.
What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example?
Determine the p-value; and at 93.7% confidence, test the above hypotheses.
Find the 90%, 95% and 99% confidence intervals for the proportion of all voters who favor the issue. How many more voters should we include in the sample if we need to reduce the margin of error by half?
A sociologist wants to describe if the life expectancy of people in Africa is lesser than the life expectancy of people in Asia.
The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows Poisson distribution with a mean of 9 tickets per day.
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