The accompanying data shows the weekly purchases of printers at a particular electronic store. Using a = 0.05, perform a chi-square test to determine if the number of printers sold per week follows a normal probability distribution. Note that x = 11.1 and S= 4.3. Click the icon to view the weekly purchases of printers. State the appropriate null and alternative hypotheses. What is the null hypothesis? O A. Ho: The mean number of weekly printers purchased is not 11.1.
The accompanying data shows the weekly purchases of printers at a particular electronic store. Using a = 0.05, perform a chi-square test to determine if the number of printers sold per week follows a normal probability distribution. Note that x = 11.1 and S= 4.3. Click the icon to view the weekly purchases of printers. State the appropriate null and alternative hypotheses. What is the null hypothesis? O A. Ho: The mean number of weekly printers purchased is not 11.1.
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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Transcribed Image Text:**Hypothesis Testing: Printer Purchases Analysis**
As part of our analysis, we are testing whether the number of printers sold per week at an electronic store follows a normal probability distribution.
**Hypotheses:**
- **Null Hypothesis (H₀):** The number of printers sold per week follows a normal probability distribution.
**Decision Components:**
- **(1)** Decision:
- Options: Reject, Do not reject
- **(2)** Conclusion:
- Options: is, is not
**Data:**
Observed weekly purchases of printers:
- 7, 14, 13, 17, 12, 14, 4
- 7, 3, 4, 14, 5, 15, 16
- 11, 12, 16, 12, 12, 7, 11
- 8, 11, 10, 17, 7, 8, 16
- 7, 19, 11, 4, 8, 11, 8
- 15, 9, 13, 15, 13, 10, 10
- 7, 17, 20
Use this data to perform the hypothesis test and make the appropriate decision based on statistical analysis. Make sure to consider all statistical assumptions and requirements for the chosen test method.
Transcribed Image Text:The accompanying data shows the weekly purchases of printers at a particular electronic store. Using α = 0.05, perform a chi-square test to determine if the number of printers sold per week follows a normal probability distribution. Note that x̄ = 11.1 and s = 4.3.
State the appropriate null and alternative hypotheses. What is the null hypothesis?
- A. H₀: The mean number of weekly printers purchased is not 11.1.
- B. H₀: The number of printers sold per week at the electronic store follows the normal probability distribution.
- C. H₀: The number of printers sold per week at the electronic store does not follow the normal probability distribution.
- D. H₀: The mean number of weekly printers purchased is 11.1.
What is the alternative hypothesis?
- A. H₁: The number of printers sold per week at the electronic store follows the normal probability distribution.
- B. H₁: The mean number of weekly printers purchased is not 11.1.
- C. H₁: The number of printers sold per week at the electronic store does not follow the normal probability distribution.
- D. H₁: The mean number of weekly printers purchased is 11.1.
Use the intervals below to calculate the chi-square test statistic, χ².
- Interval 1: z ≤ -1.0
- Interval 2: -1.0 < z ≤ 0
- Interval 3: 0 < z ≤ 1.0
- Interval 4: 1.0 < z
χ² = _____
(Round to two decimal places as needed.)
Determine the p-value.
p-value = _____
(Round to three decimal places as needed.)
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From the given information, the claim of the problem is the number of printers sold per week follows a normal probability distribution.
Null Hypothesis:
H0: The number of printers sold per week does not follows a normal probability distribution.
Correct option:
Option C.
Alternative Hypothesis:
H0: The number of printers sold per week follows a normal probability distribution.
Correct option:
Option A.
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