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Null hypothesis, an Alternate hypothesis, your work to get a t or Z value, a critical value for the test, a Decision, and if asked, a Conclusion.1. In order to rule on a potential federal grant, a government official must confirm that the average income in a Pennsylvania county is less than $12,500. A sample of 35 individuals is taken and shows a sample mean of $10,950 and a sample standard deviation of $3,972. Conduct the test at a 5% level of significance. What is your conclusion?2. From a population of cans of coffee marked "12 ounces", a random sample of 41 cans was selected and the contents of each can were weighed. The sample revealed a mean of 11.8 ounces and a sample standard deviation of 0.5 ounces. At a 5% level of significance, test to see if the mean of the population is at least 12 ounces. What is your Conclusion?3. A presidential candidate has decided to enter primaries in those states in which at least 20% of voters support her. Random samples of 200 voters were taken in each of a number of states. In New Hampshire, 33 voters supported the candidate. Test at a 5% level of significance to determine whether the candidate should enter the New Hampshire primary. What is the p-value for this test? What is your conclusion?4. Samples of final examination scores for two statistics classes with different instructors provided the following results: For instructor "A" the sample size was 12, the sample mean score was 72 and the sample standard deviation was 6. For instructor "B" the sample size was 15, the sample mean score was 78 and the sample standard deviation was 8. At a 5% level of significance, test whether these data are sufficient to conclude that the mean scores for the two classes are the same? What is your conclusion?5. In a random sample of 200 Republicans,160 indicated they opposed the new tax law proposal. While in a random sample of 120 Democrats, 84 opposed the tax law. At a 10% level of significance, test to determine if there is a significant difference in the proportion of Republicans and Democrats opposed to this new law. What is your conclusion?6. For Problem #3 above concerning the presidential candidate: (A) What would be the consequence of making a Type I error? (B) What would be the consequence of making a Type II error?
According to the 2011 National Occupant Protection Use Survey, only 84% of drivers wear seat belts. Calculate the probabilities that out of 4 randomly selected drivers,
A sample of 9 production managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000.
Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the proper..
Analyze whether gender differences exist in the size of pay-raise and whether or not these differences are attributable to the size of the university.
The maximum likelihood estimate for the odds ratio
State a hypothesis.
The variance of each of the following sets of scores
1. During a promotion, Christina's department store offers a mailing "scratch a winner - discount savings." After customers select the items they wish to purchase, they scratch their discount sticker from the mailing to determine the discount they wi..
A study of college football games shows that the number of holding penalties assessed has a mean of 2.3 penalties per game and a standard deviation of penalties per 1.1 game. What is the probability that, for a sample of 40 college games to be played..
A professor recently gave a quiz in their class and the quiz scores have a bell-shaped distribution with a mean of 30 and a standard deviation of 5.
11) The time taken to assemble a car in a certain plant is a random variable having a normaldistribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car canbe assembled at this plant in a period of time:a. l..
The population proportion of Americans with diabetes is 9 percent (uc0u960 = 0.09). In repeated random samples of n = 800 Americans, 90% of sample proportions of people with diabetes would fall within______ from
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