In Happy Town, Kate sells at most 40 Oran Berries per day. Her sister, Anna, feels that she is selling more than that and believes that they should expand their business. She decides to keep track of their sales for 100 days. After some time, she calculated that the mean number of berries Kate sells per day is 41.24 with a standard deviation of 10. 1. What is the null hypothesis? 2. What is the alternative hypothesis? 3. What is the mean (μ) that you will use? 4. What is the sample mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In Happy Town, Kate sells at most 40 Oran Berries per day. Her sister, Anna, feels that she is selling more than that and believes that they should expand their business. She decides to keep track of their sales for 100 days. After some time, she calculated that the mean number of berries Kate sells per day is 41.24 with a standard deviation of 10.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

3. What is the mean (μ) that you will use?

4. What is the sample mean?

5. What is the value of n?

6. At α = 0.10, what is the critical value?

7. The type of test that we need to do for this problem is a _____-tailed, _____ side test.

8. What is the value of your calculated z? Use two decimal places.

9. What is the conclusion?

 

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