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Consider the following hypotheses test.
Ho: m ³ 80 Ha: m
A sample of 121 provided a sample mean of 77.3. The population standard deviation is known to be 16.5.
a. Compute the value of the test statistic.
b. Determine the p-value; and at 93.7% confidence, test the above hypotheses.
c. Using the critical value approach at 93.7% confidence, test the hypotheses.
A large retail corporation plans to sample sales receipts of its meat department to estimate the average size (in dollars) of a customer purchase. Previous analysis suggest that the standard deviation of the purchase amount is approximately $50.72..
These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?
Is the Euro fair? Soon after the Euro was introduced as currency in Europe, it was widely reported that someone had spun a Euro coin 250 times and gotten heads 140 times. We wish to test a hypothesis about the fairness of spinning the coin.
Administrators at a university are planning to offer a summer seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials.
How many subjects would you approximately need to reduce the length of the 95% confidence interval to 2 units?
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
What is the predicted values of the fund in the period t = 1? What is the predicted value of the fund in the period 3, and period 7?
Hypothesis testing of single mean - can we conclude that the mean weight is greater than 16 ounces? Determine the p -value.
What are the hypotheses we would want to test for the Kleenex case?
A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution:
Use the F test of ANOVA (assume α = 0.05) to decide whether or not there are any differences in true average lumen outputs between the three brands for this type of light bulb.
43 students, 22are sophomores, 28are chemistry majors, and 11are neither. What are the probability that the student is both a sophomore and a chemistry major?
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