A botanist is interested in testing the Ho: u = 3.5 cm versus H3: u > 3.5 cm, where u is the true mean petal length of one variety of flowers. A random sample of 50 petals gives significant results (rejects Ho) at a 5 percent level of significance. Which of the following statements about the confidence interval to estimate the mean petal length must be true? O A 90% confidence interval contains the specified mean length of 3.5 O A 95% confidence interval does not contain the specified mean length of 3.5. O Not enough information is available to answer the question. A 90% confidence interval does not contain the specified mean length of 3.5. O A 95% confidence interval contains the specified mean length of 3.5 The specified mean length of 3.5 is in the center of a 90% confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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A botanist is interested in testing the Ho: u = 3.5 cm versus H3: u > 3.5 cm, where u is the true
mean petal length of one variety of flowers. A random sample of 50 petals gives significant results
(rejects Ho) at a 5 percent level of significance. Which of the following statements about the
confidence interval to estimate the mean petal length must be true?
O A 90% confidence interval contains the specified mean length of 3.5
O A 95% confidence interval does not contain the specified mean length of 3.5.
O Not enough information is available to answer the question.
A 90% confidence interval does not contain the specified mean length of 3.5.
O A 95% confidence interval contains the specified mean length of 3.5
O The specified mean length of 3.5 is in the center of a 90% confidence interval.
Transcribed Image Text:A botanist is interested in testing the Ho: u = 3.5 cm versus H3: u > 3.5 cm, where u is the true mean petal length of one variety of flowers. A random sample of 50 petals gives significant results (rejects Ho) at a 5 percent level of significance. Which of the following statements about the confidence interval to estimate the mean petal length must be true? O A 90% confidence interval contains the specified mean length of 3.5 O A 95% confidence interval does not contain the specified mean length of 3.5. O Not enough information is available to answer the question. A 90% confidence interval does not contain the specified mean length of 3.5. O A 95% confidence interval contains the specified mean length of 3.5 O The specified mean length of 3.5 is in the center of a 90% confidence interval.
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