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1. A student wants their College to offer Kickboxing classes as a Physical Education class. To justify that the class is desired he surveys 200 students and finds that 56% would be interested in taking the class. He goes to his Dean and tells him that based on his survey over half of the student body would be interested in taking the class.
a) State the null and alternative Hypotheses (H0 and H1).
HO:P=
b) Calculate the test statistic and the associated p-value.
c) What is the critical value for ?
d) State your conclusion (reject H0 or fail to reject H0 )and explain your reasoning.
e) Was the student's claim correct?
Then suppose that a sample of 4000 women had produced the sample mean 275, and again give the 95% confidence interval for the population mean. What can you say about the effect of sample size on confidence intervals?
Given that we have collected pairs of observations on two variables X and Y , we would consider fitting a straight line with X as an explanatory variable if:
An election poll reported that a candidate had an approval rating of 49% with a margin of error E of 2%. Construct a confidence interval for the proportion of adults who approve of the candidate.
A recent study of 50 self-service gasoline stations in the Greater Cincinnati' Northern Kentucky metropolitan area revealed that the mean price of unleaded gas was $2.029 per gallon. The sample standard deviation was $0.03 per gallon.
Determine whether the difference in proportions is significant at the 0.05 level.
The time until a component is taken out of service is uniformly distributed on 0 to 8 hours. Two such independent components are put in series, and the whole system goes down when one of the components goes down.
Mighty Manufacturing must decide on the processes to use to produce 1650 units. If machine 1 is used, its production will be between 300 and 1500 units. Machine 2 or machine 3 can be used only if machine 1's production is at least 1000 units. Ma..
You took the standard deviation of 4.5 minutes from a commuting friend and believe that that is the standard deviation for the area. Prepare a 95% confidence interval for the true average commuting time.
A researcher wants to estimate the average time (in minutes) spent in a car daily. This will be done by randomly surveying 300 individuals and calculating the sample mean.
The table below contains the opinions of a sample of 200 people (broken down by gender) about the latest congressional plan to fund abortion clinics.
Serum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard dev..
What is the probability that a simple random sample of automobile insurance policies will have a sample mean within $25 of the population mean the for each of the following sample sizes: 30, 50, 100, 400?
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