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ACT, Inc. In 2004, ACT, Inc. reported that 74% of 1644 randomly selected college freshmen returned to col- lege the next year. Estimate the national freshman-to- sophomore retention rate.
a) Check that the assumptions and conditions are met for inference on proportions.
b) Construct a 98% confidence interval.
c) Interpret your interval.
d) Explain what "98% confidence" means in this context.
If random samples, each with n = 4 scores, are selected from a normal population with MK = 80 and o=10
You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence int..
a population of 200 voters contains 78 republicans 120 democrats and 2 independents and members of other parties. a
Cheating Gas Pumps When testing gas pumps in Michigan for accuracy, fuel-quality enforcement specialists tested pumps and found that 1299 were not accurate (within 3.3 oz when 5 gal is pumped), and 5686 were accurate.
The direction of the pigeons" loft is 149 degrees from their release point. Do the pigeons, on average, fly directly to the loft?
Is there evidence of a difference in the variability of the waiting time between the two branches? (Use 5% level of significance). Find the p-value in (a) and interpret its meaning.
The production department wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. The complete set of paired observations follows:
Design a contingency table that will hold your data. What are your degrees of freedom and critical value at a 0.05 confidence level? You do not need data to answer this.
an aircraft landing gear has a probability of 10-5 per landing of being damaged from excessive impact. assuming a
a sample of 145 values is randomly selected from a population with mean equal to 43 and standard deviation equal to 19.
Find the critical value(s) and identify the rejection region(s). Find the standardized test statistic z. Decide whether to reject or fail to reject the null hypothesis.
A sample of 40 random weeks finds a weekly loss mean of $3200 with a standard deviation of $750. Test their claim at the a=0.05 level.
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