It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a= 0.01 level of significance. State the hypotheses. Ho: p = 98.6°F H₁: P < 98.6°F Find the test statistic. HE to (Round to two decimal places as needed.) -- More

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
icon
Related questions
Question
**Introduction to Hypothesis Testing**

It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the α = 0.01 level of significance.

---

**State the Hypotheses:**

- \( H_0: \mu = 98.6°F \)
- \( H_1: \mu < 98.6°F \)

**Find the Test Statistic:**

- \( t_0 = \) (Round to two decimal places as needed) 

--- 

**Note:** Complete the calculation to find the test statistic \( t_0 \) using the provided sample data, and use statistical tables or software to determine the P-value and final conclusions regarding the hypotheses.
Transcribed Image Text:**Introduction to Hypothesis Testing** It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the α = 0.01 level of significance. --- **State the Hypotheses:** - \( H_0: \mu = 98.6°F \) - \( H_1: \mu < 98.6°F \) **Find the Test Statistic:** - \( t_0 = \) (Round to two decimal places as needed) --- **Note:** Complete the calculation to find the test statistic \( t_0 \) using the provided sample data, and use statistical tables or software to determine the P-value and final conclusions regarding the hypotheses.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt