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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?
For each of the following situations, would you prefer that your data value is a low outlier, high outlier, or the mean when compared to others' data values? Why? Provide reasoning. Use your knowledge of what the mean, low, or high outlier i..
9.2 The dean of a graduate school wishes to predict the grade point average in graduate work for recent applicants. List a dozen variables that might be useful explanatory variables here.
A Gallup Poll used telephone interviews to survey a sample of 1025 U.S. residents over the age of 18 regarding their use of credit cards. The poll reported that 76% of Americans said that they had at least one credit card. Give the 95% margin of erro..
The portfolio assets are inverted in the Dow Jones fund
Sixty percent of the families in a certain community own their own car, thirty percent own their own homes, and twenty percent own both their own home and own car. If a family in the community is randomly chosen, what is the probability that they own..
amount of time spent studying each day for local and overseas students aspire llp is a recruitment agency. recently
A graphic designer makes a presentation to clients and this results in sales of her services in 1/4 of the cases. Assuming the results for different clients are independent.
Resource-selection analysis compares the distributions of animals relative to the distribution of habitat. If the two don't agree, there is evidence of selection. A survey of 106 moose found that 24 were located in "In burn - interior," 22 in "..
Can the company rely on the fact that the strength of the chemical is identical from batch to batch and from barrel to barrel and what is the mean strength of the chemical in these stored barrels? How prccisc is that estimate?
The manufacturer of beer kegs claims that 95% of the kegs they produce do not leak after 5 years of use. A bar owner tests the manufacturers claim at the 0.05 significance level. She takes a sample of 200 kegs and finds 185 do not leak. Wha..
What is the standard error of his prediction?
A teacher gives a third grade class of n=16 a vocabulary test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average improvement..
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