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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
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
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.
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