Access the hourly wage data on the below Excel Data File (Hourly Wage). An economist wants to test if the average hourly wage is less than $27. Assume that the population standard deviation is $5. a. Select the null and the alternative hypotheses for the test. multiple choice 1 H0: μ = 27; HA: μ ≠ 27 H0: μ ≤ 27; HA: μ > 27 H0: μ ≥ 27; HA: μ < 27 b-1. Find the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Added by Jennifer C.
Step 1
Step 1: Null and alternative hypotheses - Null hypothesis: H0: μ ≥ 27 - Alternative hypothesis: HA: μ < 27 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Cheng Zhang and 74 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Access the hourly wage data in the Excel Data File (Hourly Wage). An economist wants to test if the average hourly wage is less than $29. Assume that the population standard deviation is $6. a. Select the null and alternative hypotheses for the test. H0: μ = 29; HA: μ ≠ 29 H0: μ ≥ 29; HA: μ < 29 b-1. Find the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. Find the p-value. 0.01 p-value < 0.025 p-value < 0.01 p-value < 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 c. At α = 0.10, what is the conclusion? Do not reject H0, the hourly wage is less than 29. Reject H0, the hourly wage is not less than 29. Reject H0, the hourly wage is less than 29. Do not reject H0, the hourly wage is not less than 29.
Sri K.
The data accompanying this exercise show hourly wages (Wage in $) for 50 employees. An economist wants to test if the average hourly wage is less than $29. Assume that the population standard deviation is $9. Click here for the Excel Data File. a. Select the null and the alternative hypotheses for the test: Ho: μ ≥ 29 Ha: μ < 29 b-1. Find the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic: -2.41 b-2. Find the p-value. p-value < 0.01 c. At α = 0.01, what is the conclusion? Reject Ho, the hourly wage is less than 29.
Adi S.
For Exercises 5 through $20,$ assume that the variables are normally or approximately normally distributed. Use the traditional method of hypothesis testing unless otherwise specified. Transferring Phone Calls The manager of a large company claims that the standard deviation of the time (in minutes) that it takes a telephone call to be transferred to the correct office in her company is 1.2 minutes or less. A random sample of 15 calls is selected, and the calls are timed. The standard deviation of the sample is 1.8 minutes. At $\alpha=0.01$, test the claim that the standard deviation is less than or equal to 1.2 minutes. Use the $P$ -value method.
Hypothesis Testing
x Test for a Variance or Standard Deviation
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD