Homework Help is Here – Start Your Trial Now!
Math
Statistics
A biologist was interested in determining whether sunflower seedlings treated with a natural extract. resulted in a higher average height of the sunflower seedlings than the population mean height of 15.7 cm. The biologist treated a random sample of 55 seedlings with the extract and obtained a sample mean of 16.1 cm with a sample standard deviation of 1.2 cm. Test the biologist theory at the 5% significance level. a. Write down the Null Hypothesis. b. Write down the Alternative Hypothesis. c. Is this a z or t test? Give a reason. RMIT Classification: Trusted d. Calculate the test statistic. Give your answer correct to four decimal places. You may use your CAS to solve. e. Write down the critical value/s r. Do you accept or reject the null hypothesis? g. Write a worded conclusion to explain your answer in the context of the question.

A biologist was interested in determining whether sunflower seedlings treated with a natural extract. resulted in a higher average height of the sunflower seedlings than the population mean height of 15.7 cm. The biologist treated a random sample of 55 seedlings with the extract and obtained a sample mean of 16.1 cm with a sample standard deviation of 1.2 cm. Test the biologist theory at the 5% significance level. a. Write down the Null Hypothesis. b. Write down the Alternative Hypothesis. c. Is this a z or t test? Give a reason. RMIT Classification: Trusted d. Calculate the test statistic. Give your answer correct to four decimal places. You may use your CAS to solve. e. Write down the critical value/s r. Do you accept or reject the null hypothesis? g. Write a worded conclusion to explain your answer in the context of the question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
See similar textbooks
icon
Related questions
Question
Question 10 A biologist was interested in determining whether sunflower seedlings treated with a natural extract resulted in a higher average height of the sunflower seedlings than the population mean height of 15.7 cm. The biologist treated a random sample of 55 seedlings with the extract and obtained a sample mean of 16.1 cm with a sample standard deviation of 1.2 cm. Test the biologist theory at the 5% significance level. a. Write down the Null Hypothesis. b. Write down the Alternative Hypothesis. c. Is this a zor t test? Give a reason. RMIT Classification: Trusted d. Calculate the test statistic. Give your answer correct to four decimal places. You may use your CAS to solve. e. Write down the critical value/s f. Do you accept or reject the null hypothesis? g. Write a worded conclusion to explain your answer in the context of the question.
Transcribed Image Text:Question 10 A biologist was interested in determining whether sunflower seedlings treated with a natural extract resulted in a higher average height of the sunflower seedlings than the population mean height of 15.7 cm. The biologist treated a random sample of 55 seedlings with the extract and obtained a sample mean of 16.1 cm with a sample standard deviation of 1.2 cm. Test the biologist theory at the 5% significance level. a. Write down the Null Hypothesis. b. Write down the Alternative Hypothesis. c. Is this a zor t test? Give a reason. RMIT Classification: Trusted d. Calculate the test statistic. Give your answer correct to four decimal places. You may use your CAS to solve. e. Write down the critical value/s f. Do you accept or reject the null hypothesis? g. Write a worded conclusion to explain your answer in the context of the question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS