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 and s= 4.6. 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 11. O B. Ho: The mean number of weekly printers purchased is not 11. OC. Ho: The number of printers sold per week at the electronic store does not follow the normal probability distribution. D. Ho: The number of printers sold per week at the electronic store follows the normal probability distribution. What is the alternative hypothesis? O A. H,: The mean number of weekly printers purchased is not 11. O B. H,: The number of printers sold per week at the electronic store follows the normal probability distribution. c. H, The number of printers sold per week at the electronic store does not follow the normal probability distribution. O D. H, The mean number of weekly printers purchased is 11. Use the intervals below to calculate the chi-square test statistic, x zs-1.0 - 1.0< z s0 0< z s1.0 Interval 1: Interval 2: Interval 3: Interval 4: 1.0< z (Round to two decimal places as needed.) Determine the p-value. p-value = (Round to three decimal places as needed.)
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 and s= 4.6. 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 11. O B. Ho: The mean number of weekly printers purchased is not 11. OC. Ho: The number of printers sold per week at the electronic store does not follow the normal probability distribution. D. Ho: The number of printers sold per week at the electronic store follows the normal probability distribution. What is the alternative hypothesis? O A. H,: The mean number of weekly printers purchased is not 11. O B. H,: The number of printers sold per week at the electronic store follows the normal probability distribution. c. H, The number of printers sold per week at the electronic store does not follow the normal probability distribution. O D. H, The mean number of weekly printers purchased is 11. Use the intervals below to calculate the chi-square test statistic, x zs-1.0 - 1.0< z s0 0< z s1.0 Interval 1: Interval 2: Interval 3: Interval 4: 1.0< z (Round to two decimal places as needed.) Determine the p-value. p-value = (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
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![## Analysis of Printer Sales Data
**Objective:**
- Determine whether the number of printers sold per week at an electronic store follows a normal probability distribution.
### Hypothesis Testing
**Null Hypothesis (\(H_0\)):**
The number of printers sold per week follows a normal probability distribution.
**Conclusion Steps:**
1. **Statement to Complete:**
- (1) ___________ \(H_0\). There (2) ___________ enough evidence to conclude that the number of printers sold per week at the electronic store does not follow the normal probability distribution.
2. **Options:**
- For (1):
- Do not reject
- Reject
- For (2):
- is
- is not
### Data Presentation
**Observed Weekly Purchases of Printers:**
\[
\begin{array}{cccccccccc}
9 & 14 & 13 & 16 & 12 & 14 & 4 \\
8 & 2 & 15 & 6 & 16 & 15 \\
11 & 12 & 17 & 13 & 13 & 7 & 9 \\
8 & 10 & 9 & 18 & 8 & 7 & 15 \\
5 & 20 & 10 & 2 & 8 & 11 & 6 \\
15 & 10 & 13 & 14 & 12 & 10 & 10 \\
8 & 17 & 20 \\
\end{array}
\]
This dataset consists of weekly sales figures, representing the number of printers sold each week at the store over a certain period. The numbers vary between 2 and 20, indicating fluctuations in weekly sales. The analysis aims to evaluate if these fluctuations align with a normal distribution pattern.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24076c23-a176-47ef-a1a9-176ce9a94bfa%2F0d726ffb-21ca-43c8-b836-1f653e7c385f%2Fhotnn4a_processed.png&w=3840&q=75)
Transcribed Image Text:## Analysis of Printer Sales Data
**Objective:**
- Determine whether the number of printers sold per week at an electronic store follows a normal probability distribution.
### Hypothesis Testing
**Null Hypothesis (\(H_0\)):**
The number of printers sold per week follows a normal probability distribution.
**Conclusion Steps:**
1. **Statement to Complete:**
- (1) ___________ \(H_0\). There (2) ___________ enough evidence to conclude that the number of printers sold per week at the electronic store does not follow the normal probability distribution.
2. **Options:**
- For (1):
- Do not reject
- Reject
- For (2):
- is
- is not
### Data Presentation
**Observed Weekly Purchases of Printers:**
\[
\begin{array}{cccccccccc}
9 & 14 & 13 & 16 & 12 & 14 & 4 \\
8 & 2 & 15 & 6 & 16 & 15 \\
11 & 12 & 17 & 13 & 13 & 7 & 9 \\
8 & 10 & 9 & 18 & 8 & 7 & 15 \\
5 & 20 & 10 & 2 & 8 & 11 & 6 \\
15 & 10 & 13 & 14 & 12 & 10 & 10 \\
8 & 17 & 20 \\
\end{array}
\]
This dataset consists of weekly sales figures, representing the number of printers sold each week at the store over a certain period. The numbers vary between 2 and 20, indicating fluctuations in weekly sales. The analysis aims to evaluate if these fluctuations align with a normal distribution pattern.
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 and s = 4.6.
State the appropriate null and alternative hypotheses. What is the null hypothesis?
- A. H₀: The mean number of weekly printers purchased is 11.
- B. H₀: The mean number of weekly printers was not 11.
- C. H₀: The number of printers sold per week at the electronic store does not follow the normal probability distribution.
- D. H₀: The number of printers sold per week at the electronic store follows the normal probability distribution. (Correct answer)
What is the alternative hypothesis?
- A. H₁: The mean number of weekly printers purchased is not 11.
- B. H₁: The number of printers sold per week at the electronic store follows the normal probability distribution.
- C. H₁: The number of printers sold per week at the electronic store does not follow the normal probability distribution. (Correct answer)
- D. H₁: The mean number of weekly printers purchased is 11.
Use the intervals below to calculate the chi-square test statistic, χ².
- Interval 1: \( z \leq -1.0 \)
- Interval 2: \( -1.0 < z \leq 0 \)
- Interval 3: \( 0 < z \leq 1.0 \)
- Interval 4: \( 1.0 < z \)
\( \chi² = \)
(Round to two decimal places as needed.)
Determine the p-value.
p-value =
(Round to three decimal places as needed.)
Expert Solution
Step 1
Introduction:
Here, let X denotes the number of printers purchased at the store in a randomly selected week.
It is given that X is has a normal distribution with parameters, mean x̄ = 11 and standard deviation s = 4.6.
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