Let μ denote the true average reaction time to a certain stimulus. For a z test of Ho: μ = 5 versus H: > 5, determine the P-value for each of the following values of the z test statistic. (Round your answers to four decimal places. USE SALT (a) 1.48 (b) 0.91 (c) 1.96

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 3BGP
icon
Related questions
Question

Q6

### Determining P-Values for Z Tests

**Problem Statement:**

Let \( \mu \) denote the true average reaction time to a certain stimulus. For a z test of \( H_0: \mu = 5 \) versus \( H_a: \mu > 5 \), determine the p-value for each of the following values of the z test statistic. (Round your answers to four decimal places.)

**Values to Evaluate:**

(a) 1.48

(b) 0.91

(c) 1.96

**Step-by-Step Solution:**

1. **Use SALT:** Click the button to utilize the SALT tool for calculating the p-values.
   
2. **Enter Each Z-Value:** Input the z-values 1.48, 0.91, and 1.96 into the provided fields one by one to find the corresponding p-values.
   
3. **Record the Results:** Make sure to round each p-value to four decimal places as follows:

    - (a) \( \text{p-value for z = 1.48} \) is _____
    - (b) \( \text{p-value for z = 0.91} \) is _____
    - (c) \( \text{p-value for z = 1.96} \) is _____

For a web page, clearly indicate the areas for input and explanation to assist users in calculating and understanding p-values for different z-values in hypothesis testing contexts.

**Graph/Diagrams Explanation:**

In this scenario, there are no graphs or diagrams present in the image. The image primarily focuses on the calculation of p-values given specific z-values. The input fields likely use an online calculator or software tool, denoted here as "SALT," to obtain these p-values.

---

By providing these instructions and a detailed transcription of the task, the educational content ensures clarity and ease of understanding for users seeking to learn about hypothesis testing and the statistical determination of p-values.
Transcribed Image Text:### Determining P-Values for Z Tests **Problem Statement:** Let \( \mu \) denote the true average reaction time to a certain stimulus. For a z test of \( H_0: \mu = 5 \) versus \( H_a: \mu > 5 \), determine the p-value for each of the following values of the z test statistic. (Round your answers to four decimal places.) **Values to Evaluate:** (a) 1.48 (b) 0.91 (c) 1.96 **Step-by-Step Solution:** 1. **Use SALT:** Click the button to utilize the SALT tool for calculating the p-values. 2. **Enter Each Z-Value:** Input the z-values 1.48, 0.91, and 1.96 into the provided fields one by one to find the corresponding p-values. 3. **Record the Results:** Make sure to round each p-value to four decimal places as follows: - (a) \( \text{p-value for z = 1.48} \) is _____ - (b) \( \text{p-value for z = 0.91} \) is _____ - (c) \( \text{p-value for z = 1.96} \) is _____ For a web page, clearly indicate the areas for input and explanation to assist users in calculating and understanding p-values for different z-values in hypothesis testing contexts. **Graph/Diagrams Explanation:** In this scenario, there are no graphs or diagrams present in the image. The image primarily focuses on the calculation of p-values given specific z-values. The input fields likely use an online calculator or software tool, denoted here as "SALT," to obtain these p-values. --- By providing these instructions and a detailed transcription of the task, the educational content ensures clarity and ease of understanding for users seeking to learn about hypothesis testing and the statistical determination of p-values.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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