### Null hypothesis, an alternate hypothesis

Assignment Help Applied Statistics
##### Reference no: EM13768290

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?

#### Eestimate the fraction of defective parts

The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking samples of sizes n = 160 units. Suppose that to

#### Descriptive statistics project project

Descriptive Statistics Project Project #1This project gives you the chance to use all of the statistical techniques and concepts that are covered in the initial chapters of th

#### Utilize the meta-analysis procedure

Find TWO peer-reviewed articles that provide examples of studies that utilize the meta-analysis procedure and that were not already discussed by a classmate(s) for this week''

#### Appropriate formatting and verbiage for a college-level

Create a scenario based on your work, school, home or other place and describe how you could use the knowledge and skills you've developed in the class to help answer a q

#### Interpreting basic statistical data

EIHP Assessment 2 – Interpreting Basic Statistical Data, Article:  Ramirez, G. & Beilock, S.L. (2011).  Writing about testing worries boosts exam performance in the classroom.

#### Formulate the null and alternative hypotheses

Describe a normal distribution. What two parameters determine its location and shape and what proportion of trucks can be expected to travel between 80,000 and 120,000 kilome

#### Find probability that there are exactly 2 prescriptions

Find the probability that there are exactly 2 prescriptions for this drug in a given week and find the probability that there are no more than 5 prescriptions for this drug in

#### Utilizing the post-first feature

Utilizing the Post-First feature. You will not be able to see your classmates' posts until after you have made your own post. This is intentional. You must use your own work f