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To Test the hypothesis that students who finish an exam first get better grades, Professor Hardtack 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 α = .05?
(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?
(d) Is it reasonable to assume equal variances?
(e) Carry out a formal test for equal variances at α = .05, showing all steps clearly.
Angela works as a quality supervisor. She has uncovered a quality issue with safety brackets on baby swings. Angela determines that 21% of the safety brackets are out of spec.
At the 5% significance level, can the station conclude that the mean age of its listeners is not 25 yrs. Formulate and test the appropriate hypotheses. Use the critical value approach.
Use given data to create the unbiased point estimate of 12σ'> 2 of percentage of termites that are minor workers.
Ethics The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase?
We code middle-aged Americans as 1 and senior citizens as 0, the logistic regression model for senior citizens
The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes.
Compute the variance and standard deviation of the number that will arrive within two days.
At.01 significance level, can we conclude that there is more variation in selling prices of oceanfront homes?
Based on this sample information, create a 90% confidence interval for population mean yearly premium.
At 0.01 significance level is it sensible to conclude that modification reduced number of traffic accidents?
A researcher wishes to estimate within $300 the true average amount of money a country spends on road repairs each year. If she wants to be 90% confident, how large a sample is necessary? The standard deviation is known to be $900.
Fifty raffle tickets are numbered 1 throughout 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 8? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 6 ..
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