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"An investigator wished to determine whether epinephrine has the effect of elevating plasma cholesterol levels in humans. Twelve adult males were selected and given both a placebo and the drug. Blood samples were taken following injection of the placebo and again after injection of epinephrine. Analysis of the blood samples resulted in the following data:
Cholesterol Levels (mg/100mL)
subject placebo epinephrin
1 178 1842 240 2433 210 2104 184 1895 190 2006 181 1917 156 1508 220 2269 210 22010 165 16311 188 19212 214 216
(a) Formulate an appropriate statistical model, defi ning all the terms. State the null and two-sided alternative hypotheses which reflect the research question of interest.
(b) Enter the data into R, and calculate the means for placebo and epinephrine. Find a 95% confi dence interval for the mean difference in cholesterol levels between the placebo and epinephrine. Use the confi dence interval to test your null hypothesis.
During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes.
Choice of exponential smoothing constant w has little or no effect on forecast values using exponential smoothing.
Determine the observed p-value for the hypothesis test and interpret this value. What does this mean?
Determine the mean for list of numbers. 6, 5, 9, 4, 14, 9 (Round to the nearest tenth)
In a sample of 20 men, the mean height was 178 cm. In a sample of 30 women, the mean height was 164 cm. What was the mean height for both groups put together?
Test the overall significance of the regression model at α = .05 level. Please use the six-step hypothesis-testing framework we employed in class, and write out the last three steps in this table:
According to the Sleep Foundation, the average night's sleep is 6.8 hours. Assume the standard deviation is 0.6 hours and the probability distribution is normal. a. What is the probability that a randomly selected person sleeps more than 8 hours?
The mean of a normal probability distribution is 60; the standard deviation is 5.
At the .05 significance level, can we conclude that the guideline is still reasonable?
The time a cashier spends processing individual customer's order are independent random variables with mean 2.5 minute and standard deviation of 2.
What is meant by illusionary correlations? Why is it so difficult for individuals to disprove their beliefs in correlations that are actually false?
Using Binomial approximation, find the proportion of the days that will be rejected.
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