The Lazer Company has a contract to produce a part for Boeing Corporation that must have an average diameter of 6 inches and a standard deviation of 0.10 inch. The Lazer Company has developed a process that will meet the specifications with respect to the standard deviation, but it is still trying to meet the mean specifications. A test run (considered a random sample) of parts was produced, and the company wishes to determine whether this latest process that produced the sample will produce parts meeting the requirement of an average diameter equal to 6 inches.
Use Excel to:
Construct the appropriate null and alternative hypotheses with correct parameters.
Develop the decision rule assuming that the sample size is 200 parts and the significance level is 0.01.
In a Word document:
Recommend what the Lazer Company should conclude if the sample mean diameter for the 200 parts is 6.03 inches.
Submit your recommendations in a Word document and attach your Excel file.
Tag: Null and Alternative Hypotheses
Null and alternative hypotheses
For each question, answer all items. Make sure that you are detailed when you answer the questions. As a rule of thumb, when you are answering any questions using statistics, you should include all statistics in the answer (e.g. if it asks about the mean, put the actual value of the mean in the sentence). Type your answers out underneath each question either bolded or in a different font color (or both). Please do not delete the questions or the output. When you are finished with the assignment, upload it as a .doc, .docx, or .pdf to the assignment on Canvas.
The analyses come from the high school exam data set. This data set includes information about how students in NY State performed on a bunch of standardized tests. In addition to the test scores, there is demographic information (ethnicity/race, gender) and school information (type of school, type of program). The analyses below use a variety of tests that look at the relationships between variables.
Note: There are 5 parts to this assignment each one on a separate page. Make sure to answer all parts.
Part I: One-Way ANOVA
This analysis is looking at the relationship between ethnicity/race and freshman year science scores. Use the tables and graph included below to answer the following questions:
- What are the null and alternative hypotheses for this analysis?
- In a few sentences, describe the descriptive data for each ethnicity/race group (include N, mean, standard deviation, minimum, & maximum).
- Did we violate the assumption of homogeneity in this analysis? Include evidence for your answer (i.e. how do you know?).
- Were there significant differences in science scores between the different ethnicities?
- Based on the results of your analysis, should you analyze the post hoc tests?
a. If yes, which groups are significantly different from each other? (List all).
b. Explain what the post hoc tests tell us about the relationship between ethnicity and science scores. - Complete Step 4 of hypothesis testing. Include your decision about the null hypothesis, a sentence describing the results (including post hoc tests), and the APA-style string of statistics.
Null and Alternative Hypotheses
The manager of a department store disputes the company’s claim that the average age of consumers who buy
a particular brand of clothes is 16. She believes the average age is older than 16. A clerk for the store stops
the next 25 people buying these clothes and asks for their age. She calculates a mean age of 18.5 years, with
a standard deviation of 2.25 years. Use the data from this sample to test the manager’s claim by answering the
following:
State the null and alternative hypotheses allowing the possibility that the average age may be younger than 16.
Make a decision about the null hypothesis by identifying the following:
Calculate the degrees of freedom
Set alpha
Identify the critical values
State the decision rule