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1. A neurologist wants to detect whether the mean response time for drug-injected rats differs from a control group not injected. The control group has the mean response time of 1.2 seconds. 100 rats are randomly chosen and injected with a unit dose of the drug. The average response time for the injected rats is 1.05 seconds with s = 0.5 seconds. Test the hypothesis at a level a= .01 whether there is a difference in response times.
2. A major car manufacturer wants to test a new engine to determine whether it meets new air-pollution standards. The mean emission m of all engines must be less than 20 parts per million of carbon. Ten engines are manufactured for testing purposes and the emission level of each is determined to be: 15.6 16.2 22.2 20.5 16.4 19.4 16.6 17.9 12.7 13.9. Does the data supply sufficient evidence to allow the manufacturer to conclude this type of engine meet the pollution standard? Test the hypothesis at a level a = 0.01.
3. The National Science foundation, in a survey of 2237 engineering graduate students who earned PhD degrees, found that 607 were US citizens; the majority (1630) of the PhD degrees were awarded to foreign nationals. Conduct a test to determine whether the true percentage of PhD degrees awarded to foreign nationals exceeds 50% at a level a = 0.01.
4. In the past decade intensive anti-smoking campaigns have been sponsored by both federal and private agencies. Suppose the American Cancer Society randomly samples 1500 adults in 1985 and then sampled 2000 adults in 1995 to determine whether there was evidence that the percentage of smokers had increased. The results of two independent surveys found that in 1985, out of 1500 surveyed, 576 were smokers. In 1995, out of 2000 surveyed, 652 were smokers. Does this data indicate that the proportion of smokers decreased over this 10 year period? Test at a level a=0.05.
Can you conclude that the information in the article is untrue? Use the 0.05 significance level. Determine the p-value and explain its meaning.
Test the hypothesis that there is no difference in the mean scores of Exam 1 and Exam 2 against the alternative that the average is greater for the second exam.
Suppose you found that in doing the hypothesis test, you were able to reject the null hypothesis. What is the most appropriate conclusion to draw?
Create a real-world situation or problem that could be addressed using an independent- or related-samples t test. Create this situation or problem, that clearly identify the independent and dependent variables to study
Compute the sample variance and sample standard deviation as a measure of volatility of monthly total return for Chevron (to 2 decimals): Sample variance and Sample standard deviation.
Determine point estimate of population mean? By using 90% confidence, determine the margin of error?
At the 1% significance level, can it be concluded that the current distribution of responses differs from that of a year ago ?? Formulate and test the appropriate hypotheses. Use the critical value approach.
If level of significance ( α ) is 0.005 in two-tail test, how large is non rejection region under curve of the t distribution?
The world's smallest mammal is the bumblebee bat. Shown to the right are weights(in grams) from a sample of those bats. Use the traditional method and significance level of .05 to test the claim that these bats come from the same population having..
What is the predicted GPA if a person watches 12 hours of television per week?
Illustrate what amount of sales would be required to be a super savings club member. Elucidate amount of sales would be required to be a gold club status.
Two airlines fly to Memphis. according to airport data for the past year, wings airlines planes arrived on time 330 times and were late 60 times. Global airlines planes arrived on time 430 times and were late 50 times.
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