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PROBLEM 1
NBC TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is $1.50 per gallon for self-serve regular unleaded. A random sample of 35 stations in the Milwaukee, WI, area revealed that the mean price was $1.52 per gallon and that the standard deviation was $0.05 per gallon. At the .05 significance level, can we conclude that the price of gasoline is higher in the Milwaukee area? Calculate the p-value and interpret.
PROBLEM 3:
Babsie is a public affairs specialist at Park University. A press release issued by Babsie based on some research claims that Park University students study at least as much as the national average for students at four year universities. Across the nation, 73 percent of all students at four year universities study at least four hours per week. Seventy percent of one hundred randomly selected Park University students surveyed claimed to study more than four hours per week. Should the University retract its previous statement? Explain why or why not. Answer using a 95 percent confidence interval.
PROBLEM 4:
The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10.a. Compute the mean for this sample. b. Compute the range for this sample. c. Compute the variance for this sample. d. Compute the standard deviation for this sample.
The upper limit of a 95% confidence interval for the population mean would equal:
A arbitrary sample of 8 students is selected. Illucidate the probability that among the students in the sample at least 7 are female.
A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were:
By using significance level a = .05, and suppose a normal distribution what does evidence conclude?
Give a real world example of a situation where normal parametric tests would not be useful and where there is a need for nonparametric test methods. Be specific and explain why nonparametric tests are needed in that case.
The sat scores attainted by the students in nyc are approximately normally distributed with a mean of 500 and a standard deviation of 80. Find the percentage of students who score less than 700.
A random sample of size 16 is chosen from a population and a 90% confidence interval for the standard deviation will be determined. What value of should be located in the chi-square distribution table?
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
Two chi-square distributions were plotted on the same chart. One distribution was for 3 degrees of freedom and the other was for 12 degrees of freedom. Which distribution would tend to approach a normal distribution?
Test a hypothesis to see if this proportion has changed since 1985. I have the standard error and a t-score of 1.660. I need the test effect, test statistic and p-values.
The diameter of stabilizing O-Rings washers manaufactured at a large factory is expected to be normally distributed with a mean of 1.30 inches and a standard deviation of 0.04 inches.
Analyze the data using linear contrasts to make the following comparisons:
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