Homework Help is Here – Start Your Trial Now!
Math
Statistics
o State whether the results are or are not statistically significant, explaining in terms of the relationship between the p-value and a. . Explain what the results of the test mean, using the vocabulary of hypothesis testing. Explain what the results of the test mean, using words other than the vocabulary of hypothesis testing. • Find a way to change only the sample size and nothing else about the data to make the test give the opposite conclusion. 1. You are back in quality control again, at a factory which produces 2000 products per day. Your job is to look for evidence that less than 90% of the products are of acceptable quality. One day, your sample of 100 products contains 12 defective products. Is this enough evidence to conclude that the quality today is less than 90%? 2. You are studying a species of fruit fly which is believed to have a normally distributed wingspan with a mean of 4 millimeters and a standard deviation of .3 millimeters. You are doing fieldwork to determine if this mean is correct. You set several traps in the area and collect 78 individuals from this species, and find that these 78 fruit flies have a mean wingspan of 4.1 millimeters.

o State whether the results are or are not statistically significant, explaining in terms of the relationship between the p-value and a. . Explain what the results of the test mean, using the vocabulary of hypothesis testing. Explain what the results of the test mean, using words other than the vocabulary of hypothesis testing. • Find a way to change only the sample size and nothing else about the data to make the test give the opposite conclusion. 1. You are back in quality control again, at a factory which produces 2000 products per day. Your job is to look for evidence that less than 90% of the products are of acceptable quality. One day, your sample of 100 products contains 12 defective products. Is this enough evidence to conclude that the quality today is less than 90%? 2. You are studying a species of fruit fly which is believed to have a normally distributed wingspan with a mean of 4 millimeters and a standard deviation of .3 millimeters. You are doing fieldwork to determine if this mean is correct. You set several traps in the area and collect 78 individuals from this species, and find that these 78 fruit flies have a mean wingspan of 4.1 millimeters.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%

Can I please get help on question #2 and the 7th through tenth bullet points starting with "State whether the results..." and ending with "Find a way to change..."

**Hypothesis Testing Steps for Three Scenarios** For each of the three scenarios below, follow the steps in the hypothesis testing process with a significance level of \( \alpha = 0.05 \). 1. **State the null and alternative hypotheses, explaining your thought process.** 2. **Determine the type of test to use**, from the three learned this week, and explain your choice. 3. **Identify the area of interest for the test**, specifying whether it will be to the left, right, or two-tailed, and how you know. 4. **Calculate the test statistic** appropriate for the test you've chosen. 5. **Find the p-value** corresponding to the test statistic, taking into consideration the direction determined for the area. 6. **Explain what the p-value represents.** 7. **Determine if the results are statistically significant**, based on the relationship between the p-value and \( \alpha \). 8. **Interpret the test results** using the vocabulary of hypothesis testing. 9. **Interpret the test results in simple terms**, without specialized vocabulary. 10. **Modify only the sample size** to produce the opposite conclusion, changing nothing else about the data. **Scenarios:** 1. **Quality Control at a Factory:** - The factory produces 2000 products daily. You're tasked with evaluating if less than 90% of products are of acceptable quality. A sample of 100 products reveals 12 defective items. Is this sample sufficient evidence to conclude that today's product quality is below 90%? 2. **Fruit Fly Species Study:** - This species is supposed to have a normally distributed wingspan with a mean of 4 millimeters and a standard deviation of 0.3 millimeters. You are collecting data to validate this mean. In a sample of 78 fruit flies, the mean wingspan is 4.1 millimeters. 3. **Different Fruit Fly Species Research:** - This species is believed to have a mean wingspan of 6 millimeters. You're studying if there is evidence to suggest a deviation from this mean.
Transcribed Image Text:**Hypothesis Testing Steps for Three Scenarios** For each of the three scenarios below, follow the steps in the hypothesis testing process with a significance level of \( \alpha = 0.05 \). 1. **State the null and alternative hypotheses, explaining your thought process.** 2. **Determine the type of test to use**, from the three learned this week, and explain your choice. 3. **Identify the area of interest for the test**, specifying whether it will be to the left, right, or two-tailed, and how you know. 4. **Calculate the test statistic** appropriate for the test you've chosen. 5. **Find the p-value** corresponding to the test statistic, taking into consideration the direction determined for the area. 6. **Explain what the p-value represents.** 7. **Determine if the results are statistically significant**, based on the relationship between the p-value and \( \alpha \). 8. **Interpret the test results** using the vocabulary of hypothesis testing. 9. **Interpret the test results in simple terms**, without specialized vocabulary. 10. **Modify only the sample size** to produce the opposite conclusion, changing nothing else about the data. **Scenarios:** 1. **Quality Control at a Factory:** - The factory produces 2000 products daily. You're tasked with evaluating if less than 90% of products are of acceptable quality. A sample of 100 products reveals 12 defective items. Is this sample sufficient evidence to conclude that today's product quality is below 90%? 2. **Fruit Fly Species Study:** - This species is supposed to have a normally distributed wingspan with a mean of 4 millimeters and a standard deviation of 0.3 millimeters. You are collecting data to validate this mean. In a sample of 78 fruit flies, the mean wingspan is 4.1 millimeters. 3. **Different Fruit Fly Species Research:** - This species is believed to have a mean wingspan of 6 millimeters. You're studying if there is evidence to suggest a deviation from this mean.
Expert Solution
steps

Step by step

Solved in 6 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS