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**For each of the remaining problems, complete the steps listed below. Identify each step with the appropriate corresponding number. 1. Write the claim and the null and the alternate hypotheses. 2. Identify the level of significance. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim. 3. Google conducted a study during the month of December 2019 that measured ways in which people used their Web browsers. Part of the study involved counting the number of files downloaded during the period of the study. The mean number of files downloaded by a random sample of 51 male users was 130.6 with a standard deviation of 22. The mean number of files downloaded by a random sample of 56 female users was 144.1 with a standard deviation of 20. Can you conclude that the mean number of files downloaded differs between males and females? Use a 5% level of significance.

**For each of the remaining problems, complete the steps listed below. Identify each step with the appropriate corresponding number. 1. Write the claim and the null and the alternate hypotheses. 2. Identify the level of significance. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim. 3. Google conducted a study during the month of December 2019 that measured ways in which people used their Web browsers. Part of the study involved counting the number of files downloaded during the period of the study. The mean number of files downloaded by a random sample of 51 male users was 130.6 with a standard deviation of 22. The mean number of files downloaded by a random sample of 56 female users was 144.1 with a standard deviation of 20. Can you conclude that the mean number of files downloaded differs between males and females? Use a 5% level of significance.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Instructions for Hypothesis Testing:** For each of the remaining problems, complete the steps listed below. **Identify each step with the appropriate corresponding number.** 1. Write the claim and the null and alternate hypotheses. 2. Identify the level of significance. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim. --- **Problem 3:** Google conducted a study during the month of December 2019 that measured ways in which people used their Web browsers. Part of the study involved counting the number of files downloaded during the period of the study. The mean number of files downloaded by a random sample of 51 male users was 130.6 with a standard deviation of 22. The mean number of files downloaded by a random sample of 56 female users was 144.1 with a standard deviation of 20. Can you conclude that the mean number of files downloaded differs between males and females? Use a 5% level of significance.
Transcribed Image Text:**Instructions for Hypothesis Testing:** For each of the remaining problems, complete the steps listed below. **Identify each step with the appropriate corresponding number.** 1. Write the claim and the null and alternate hypotheses. 2. Identify the level of significance. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim. --- **Problem 3:** Google conducted a study during the month of December 2019 that measured ways in which people used their Web browsers. Part of the study involved counting the number of files downloaded during the period of the study. The mean number of files downloaded by a random sample of 51 male users was 130.6 with a standard deviation of 22. The mean number of files downloaded by a random sample of 56 female users was 144.1 with a standard deviation of 20. Can you conclude that the mean number of files downloaded differs between males and females? Use a 5% level of significance.
**Educational Content: Understanding the Standard Normal Distribution Table** **Appendix II: Tables** The following content provides a detailed explanation of the standard normal distribution table, also known as the Z-table. This table is essential for calculating probabilities associated with the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. **Overview:** The table is used to determine the area (probability) to the left of a given Z-score on a standard normal distribution curve. The Z-score represents the number of standard deviations a data point is from the mean. **Diagram Explanation:** The diagram at the top-left corner of each page illustrates a standard normal distribution curve. The shaded area under the curve to the left of a Z-score 'z' represents the probability that a standard random variable is less than 'z'. **Table Structure:** 1. **Columns and Rows:** - The table is divided into rows and columns. - The first column represents the Z-score to one decimal place (e.g., 0.0, 0.1, 0.2). - The top row extends the Z-score to two decimal places (e.g., .00, .01, .02). 2. **Data Interpretation:** - To find the probability associated with a specific Z-score, locate the row corresponding to the Z-score's ones and tenths digit and the column corresponding to the hundredths digit. - For example, for a Z-score of 1.23, find the row for 1.2 and the column for .03. The intersecting value is the probability. **Additional Sections:** - **Confidence Interval Critical Values Z:** - Critical Z-values are provided for common confidence levels, which are used in constructing confidence intervals. - Examples include 90% (Z = 1.645), 95% (Z = 1.96), and 99% (Z = 2.58). - **Hypothesis Testing Critical Values Z:** - Critical values for hypothesis testing at specific significance levels like 0.05 are listed for left-tailed, right-tailed, and two-tailed tests. - Typical critical values: left-tailed (Z = -1.645), right-tailed (Z = 1.645), and two-tailed (Z = ±1.96). By understanding this table, students and researchers
Transcribed Image Text:**Educational Content: Understanding the Standard Normal Distribution Table** **Appendix II: Tables** The following content provides a detailed explanation of the standard normal distribution table, also known as the Z-table. This table is essential for calculating probabilities associated with the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. **Overview:** The table is used to determine the area (probability) to the left of a given Z-score on a standard normal distribution curve. The Z-score represents the number of standard deviations a data point is from the mean. **Diagram Explanation:** The diagram at the top-left corner of each page illustrates a standard normal distribution curve. The shaded area under the curve to the left of a Z-score 'z' represents the probability that a standard random variable is less than 'z'. **Table Structure:** 1. **Columns and Rows:** - The table is divided into rows and columns. - The first column represents the Z-score to one decimal place (e.g., 0.0, 0.1, 0.2). - The top row extends the Z-score to two decimal places (e.g., .00, .01, .02). 2. **Data Interpretation:** - To find the probability associated with a specific Z-score, locate the row corresponding to the Z-score's ones and tenths digit and the column corresponding to the hundredths digit. - For example, for a Z-score of 1.23, find the row for 1.2 and the column for .03. The intersecting value is the probability. **Additional Sections:** - **Confidence Interval Critical Values Z:** - Critical Z-values are provided for common confidence levels, which are used in constructing confidence intervals. - Examples include 90% (Z = 1.645), 95% (Z = 1.96), and 99% (Z = 2.58). - **Hypothesis Testing Critical Values Z:** - Critical values for hypothesis testing at specific significance levels like 0.05 are listed for left-tailed, right-tailed, and two-tailed tests. - Typical critical values: left-tailed (Z = -1.645), right-tailed (Z = 1.645), and two-tailed (Z = ±1.96). By understanding this table, students and researchers
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