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A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is the alternate hypothesis?
Between what two values does the P -value of this test fall?
A population of 1000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken.
The following table shows SAT scores (on the old SAT with only two sections) for a sample of students. Give the equation of the least squares regression equation.
What is the probability of obtaining 4 ones in a row when rolling a fair, six-sided die? Interpret this probability.
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be
A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 years of age. If 12 children are analyzed,
A local bank reported to the federal government that its 5,246 saving accounts have a mean of $1,000 and standard deviation of $240.
Use the Empirical Rule to estimate the proportion of costs within two standard deviations of the mean. What are these limits?
Testing for population proportion - evidence that the proportion of data processing clerks who have gone through the new training and are no longer employed is less than .25?
A psychologist determined that the number of sessions required to obtain the trust of a new patient is 1, 2, and 3. Let x be the random variable indicating the number of sessions required to gain the patient's trust. The following probability fu..
In a randomized clinical trial of timolol vs. placebo in patients surviving acute myocardial infarction, the total deaths at an average of 24 months after treatment were found to be 65 out of 720 in the Timolol group and 112 out of 860 in the plac..
The times needed to fall asleep are assumed to follow a normal distribution. The results for the two nights for the ten volunteers are shown below:
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