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An economist is interested in the variability of hourly wages at a production plant. She collects data on 50 hourly wage earners. Use the accompanying Excel Data File for this exercise. Click here for the Excel Data File a. Select the competing hypotheses to test whether the variance of hourly wages exceeds 35($2). O Ho: 0² ≤ 35; HA: 0² > 35 Ho: ² = 35; HA: 0² # 35 HØ: 0²35; HA: 02 < 35 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O 0.05 ≤ p-value < 0.10 O p-value 20.10 O p-value < 0.01 d. At the 5% significance level, does the variance of hourly wages exceed 35($²)? O Do not reject He; we cannot conclude the variance of the hourly wages exceeds 35($²). O Reject He; we cannot conclude the variance of the hourly wages exceeds 35 ($²). O Do not reject Ho; we can conclude the variance of the hourly wages exceeds 35 ($²). O Reject Ho; we can conclude the variance of the hourly wages exceeds 35 ($²).

An economist is interested in the variability of hourly wages at a production plant. She collects data on 50 hourly wage earners. Use the accompanying Excel Data File for this exercise. Click here for the Excel Data File a. Select the competing hypotheses to test whether the variance of hourly wages exceeds 35($2). O Ho: 0² ≤ 35; HA: 0² > 35 Ho: ² = 35; HA: 0² # 35 HØ: 0²35; HA: 02 < 35 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O 0.05 ≤ p-value < 0.10 O p-value 20.10 O p-value < 0.01 d. At the 5% significance level, does the variance of hourly wages exceed 35($²)? O Do not reject He; we cannot conclude the variance of the hourly wages exceeds 35($²). O Reject He; we cannot conclude the variance of the hourly wages exceeds 35 ($²). O Do not reject Ho; we can conclude the variance of the hourly wages exceeds 35 ($²). O Reject Ho; we can conclude the variance of the hourly wages exceeds 35 ($²).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An economist is interested in the variability of hourly wages at a production plant. She collects data on 50 hourly wage earners. Use the accompanying Excel Data File for this exercise. Click here for the Excel Data File a. Select the competing hypotheses to test whether the variance of hourly wages exceeds 35($2). HØ: 0² ≤35; HA: 0² > 35 HØ: 02 = 35; HA: 0² # 35 Ho: 0² ≥ 35; HA: 0² < 35 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.025 ≤ p-value < 0.05 O 0.01 ≤ p-value < 0.025 0.05 ≤ p-value < 0.10 p-value > 0.10 O p-value < 0.01 d. At the 5% significance level, does the variance of hourly wages exceed 35($2)? Do not reject Ho; we cannot conclude the variance of the hourly wages exceeds 35($²). Reject Ho; we cannot conclude the variance of the hourly wages exceeds 35($²). Do not reject Ho; we can conclude the variance of the hourly wages exceeds 35($²). Reject Ho; we can conclude the variance of the hourly wages exceeds 35 ($²).
Transcribed Image Text:An economist is interested in the variability of hourly wages at a production plant. She collects data on 50 hourly wage earners. Use the accompanying Excel Data File for this exercise. Click here for the Excel Data File a. Select the competing hypotheses to test whether the variance of hourly wages exceeds 35($2). HØ: 0² ≤35; HA: 0² > 35 HØ: 02 = 35; HA: 0² # 35 Ho: 0² ≥ 35; HA: 0² < 35 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.025 ≤ p-value < 0.05 O 0.01 ≤ p-value < 0.025 0.05 ≤ p-value < 0.10 p-value > 0.10 O p-value < 0.01 d. At the 5% significance level, does the variance of hourly wages exceed 35($2)? Do not reject Ho; we cannot conclude the variance of the hourly wages exceeds 35($²). Reject Ho; we cannot conclude the variance of the hourly wages exceeds 35($²). Do not reject Ho; we can conclude the variance of the hourly wages exceeds 35($²). Reject Ho; we can conclude the variance of the hourly wages exceeds 35 ($²).
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