The following data are the amounts that a sample of 15 customers spent for lunch ($) at a fast-food restaurant. Complete parts (a) through (d) below. 7.45 6.29 5.87 6.47 8.31 9.47 7.16 6.84 5.95 4.86 6.46 5.49 7.94 8.27 9.61 ..... a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch ($) at a fast-food restaurant. (Round to two decimal places as needed. Do not include the $ symbol in your answer.) b. Interpret the interval constructed in (a). Choose the correct answer below. O A. Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval. O B. Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval. O C. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval. O D. 95% of the sample data fall between the limits of this confidence interval. c. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)? O A. The population distribution is skewed right. O B. The population distribution is skewed left. OC. The population distribution is normally distributed. O D. The population distribution is uniformly distributed. d. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain. The assumption is V for n= since
The following data are the amounts that a sample of 15 customers spent for lunch ($) at a fast-food restaurant. Complete parts (a) through (d) below. 7.45 6.29 5.87 6.47 8.31 9.47 7.16 6.84 5.95 4.86 6.46 5.49 7.94 8.27 9.61 ..... a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch ($) at a fast-food restaurant. (Round to two decimal places as needed. Do not include the $ symbol in your answer.) b. Interpret the interval constructed in (a). Choose the correct answer below. O A. Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval. O B. Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval. O C. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval. O D. 95% of the sample data fall between the limits of this confidence interval. c. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)? O A. The population distribution is skewed right. O B. The population distribution is skewed left. OC. The population distribution is normally distributed. O D. The population distribution is uniformly distributed. d. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain. The assumption is V for n= since
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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![### Data and Tasks Overview
The provided data represents the amounts spent for lunch ($) by a sample of 15 customers at a fast-food restaurant. The values are as follows:
- 7.45, 6.29, 5.87, 6.47, 8.31, 9.47, 7.16, 6.84, 5.95
- 4.86, 6.46, 5.49, 7.94, 8.27, 9.61
### Tasks
#### a. Construct a 95% Confidence Interval
You need to estimate the population mean for the amount spent on lunch. Write your results in the format of:
\[ \text{[lower bound]} \leq \mu \leq \text{[upper bound]} \]
(Round to two decimal places and do not include the $ symbol.)
#### b. Interpret the Interval
Choose the correct interpretation from the following options:
- **A.** Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval.
- **B.** Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval.
- **C.** The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval.
- **D.** 95% of the sample data fall between the limits of this confidence interval.
#### c. Assumption for Population Distribution
Identify what assumption you must make about the population distribution for constructing the confidence interval:
- **A.** The population distribution is skewed right.
- **B.** The population distribution is skewed left.
- **C.** The population distribution is normally distributed.
- **D.** The population distribution is uniformly distributed.
#### d. Validate the Assumption
Decide whether the assumption for constructing the confidence interval is valid:
- State the assumption.
- Determine if it holds for \( n = 15 \) by providing an explanation. Choose from:
- The assumption is valid for \( n = 15 \) since the sample size is large enough.
- The assumption is not valid for \( n = 15 \) due to sample size being too small or other reasons.
Fill in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a63f6a7-ec54-4c0e-abf5-810ded572838%2Fb4afffab-9bac-4ca8-ae42-84c720af9a70%2F2456rc_processed.png&w=3840&q=75)
Transcribed Image Text:### Data and Tasks Overview
The provided data represents the amounts spent for lunch ($) by a sample of 15 customers at a fast-food restaurant. The values are as follows:
- 7.45, 6.29, 5.87, 6.47, 8.31, 9.47, 7.16, 6.84, 5.95
- 4.86, 6.46, 5.49, 7.94, 8.27, 9.61
### Tasks
#### a. Construct a 95% Confidence Interval
You need to estimate the population mean for the amount spent on lunch. Write your results in the format of:
\[ \text{[lower bound]} \leq \mu \leq \text{[upper bound]} \]
(Round to two decimal places and do not include the $ symbol.)
#### b. Interpret the Interval
Choose the correct interpretation from the following options:
- **A.** Conclude with 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval.
- **B.** Conclude with 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval.
- **C.** The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval.
- **D.** 95% of the sample data fall between the limits of this confidence interval.
#### c. Assumption for Population Distribution
Identify what assumption you must make about the population distribution for constructing the confidence interval:
- **A.** The population distribution is skewed right.
- **B.** The population distribution is skewed left.
- **C.** The population distribution is normally distributed.
- **D.** The population distribution is uniformly distributed.
#### d. Validate the Assumption
Decide whether the assumption for constructing the confidence interval is valid:
- State the assumption.
- Determine if it holds for \( n = 15 \) by providing an explanation. Choose from:
- The assumption is valid for \( n = 15 \) since the sample size is large enough.
- The assumption is not valid for \( n = 15 \) due to sample size being too small or other reasons.
Fill in
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