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To test the hypothesis that students who finish an exam first get better grades, Professor Barker kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at ? = .05? (a) State the hypotheses 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? (d) Is it reasonable to assume equal variances? (e) Carry out a formal test for equal variances at ? = .05, showing all steps clearly.
A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is 0.02 inches.
An entomologist writes an article in a scientific journal, which claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce..
The condition for the question is that the deck of cards has 52 cards and among them are 12 face cards. What is the probability of choosing 6 face cards out of 8 chosen. Thru Binomial distribution holds( meaning with replacement)
How would the General Counsel's decision in Part (b) change if the cost of selling the second suit were only $200,000? What if the cost were $900000?
Find the 95% confidence interval for the true population mean. Identify the point estimate for mean and margin of error.
What is the point estimate of the proportion of the population of employees who strongly dislike their current work experience (to 2 decimals)?
Students need a score of 60 points to pass the exam. What is the probability that a randomly selected student will pas the exam? (P(X ≥ 60))
Write the hypothesis statement. What distribution are you using?
What fraction of the calls last between 4.2 and 5 minutes?
Using the probability formulas, find the proportion of employees who either have MBAs or are managers.
What is the probability that the mean price for a sample of 30 service stations is within $.03 of the population mean (to 4 decimals)?
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
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