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Over the past few weeks, we have studied a number of different hypothesis tests including the following:
1. One-sample z- and t-tests for the mean2. One-sample z-test for the proportion3. Two-sample t-tests for the mean for related and independent samples4. Two-sample z-test for the proportion5. Two-sample chi-square test for the proportion6. Three-sample chi-square test for the proportion7. Chi-square test of independence8. ANOVA
During the course, you could normally tell which test to use by identifying which chapter or section in the text it came from. That usually works when you are taking a class, but suppose you are out there in the "real" world and decide to collect some data and do a hypothesis test to impress your boss with your knowledge of statistics. Or maybe there is a problem on the final exam that doesn't tell you specifically which test to use. How would you determine which test would be appropriate to use? What characteristics of the problem would you use to determine which hypothesis test you should use? Explain your answer.
Using the data file below, construct a histogram and a frequency polygon. Describe the shape of this distribution.
A student scores 81 on a chemistry test and 75 on a history test. For the chemistry test, the mean was 70 and the standard deviation was 20. For the history test, the mean was 65 and the standard deviation was 8.
Make a scatter diagram of the scores; (b) describe in words the general pattern of correlation, if any (c) figure the correlation coefficient; (d) figure whether the correlation is statistically significant.
Create a mixed integer programming model for this problem.
construct a 90% confidence interval for the true mean weight. what sample size would be necessary to estimate the true weight with an error +/- 0.03 grams with 90% confidence?
Determine the probably of selecting a female or an accounting major? Which rule of addition did you apply?
For the most recent year available the mean annual cost to attend a private university in the US was $26,889. Assume the distribution of annual costs follows a normal probability distribution and the standard deviation is $4,500. 95% of all studen..
A company is filling bags of rock salt to a level of 50 pounds. It believes that all bags are filled correctly, but would like to use a hypothesis test with an alpha of 0.05 to check this belief.
The significance level of a statistical test is equal to the probability that the null hypothesis is true.
Of the adult US population 36% has an allergy. A sample of 1200 randomly selected adults resulted in 33.2% reporting an allergy. Identify the statistic and give its value
A customer wants delivery to be ensured between 10 am and 2 pm. Your truck leaves the factory at 4 am and time taken to reach the customer is normally distributed with an average of 8 hrs and a standard deviation of 1 hr.
The membership for the club this year isobserved to be 14 freshman, 19 sophomores, 51 Juniors and 16Seniors. At 95% level of confidence, test the advisors belief..
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