Step 1
Given that there are 110 people in the sample and I get a 95% confidence interval of \(\displaystyle{\left({4},\ {6}\right)}\) in minutes.
This means I am \(\displaystyle{95}\%\) sure that my sample resulted in a confidence interval the contains the true mean of the population.
This does not mean a range that contains \(\displaystyle{95}\%\) of the values.
Step 2
Answer:
1. \(\displaystyle{95}\%\) of people wait between 4 and 6 minutes at the restaurant - False
2. 95 of the people in your sample waited between 4 and 6 minutes - False
3. You are \(\displaystyle{95}\%\) sure your sample resulted in a confidence interval the contains the true mean -True
Question
Mark each statement TRUE or FALSE. 1. 95\% of people wait between 4 and 6 minutes at the restaurant. 2. 95 of the people in your sample waited between 4 and 6 minutes. 3. You are 95\% sure your sample resulted in a confidence interval the contains the true mean.
Answers (1)
2021-08-17
Relevant Questions
asked 2021-06-02
True or false?
a. The center of a 95% confidence interval for the population mean is a random variable.
b. A 95% confidence interval for μμ contains the sample mean with probability .95.
c. A 95% confidence interval contains 95% of the population.
d. Out of one hundred 95% confidence intervals for μμ, 95 will contain μμ.
a. The center of a 95% confidence interval for the population mean is a random variable.
b. A 95% confidence interval for μμ contains the sample mean with probability .95.
c. A 95% confidence interval contains 95% of the population.
d. Out of one hundred 95% confidence intervals for μμ, 95 will contain μμ.
asked 2021-08-03
A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is \(\displaystyle\sigma={15}\)
a) Compute the \(\displaystyle{95}\%\) confidence interval for the population mean. Round your answers to one decimal place.
b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a \(\displaystyle{95}\%\) confidence interval for the population mean. Round your answers to two decimal places.
c) What is the effect of a larger sample size on the interval estimate?
Larger sample provides a-Select your answer-largersmallerItem 5 margin of error.
a) Compute the \(\displaystyle{95}\%\) confidence interval for the population mean. Round your answers to one decimal place.
b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a \(\displaystyle{95}\%\) confidence interval for the population mean. Round your answers to two decimal places.
c) What is the effect of a larger sample size on the interval estimate?
Larger sample provides a-Select your answer-largersmallerItem 5 margin of error.
asked 2021-08-09
Your client from question 4 decides they want a \(\displaystyle{90}\%\) confidence interval instead of a \(\displaystyle{95}\%\) one. To remind you - you sampled 36 students to find out how many hours they spent online last week. Your sample mean is 46. The population standard deviation, \(\displaystyle\sigma\), is 7.4. What is the \(\displaystyle{90}\%\) confidence interval for this sample mean? Keep at least three decimal places on any intermediate calculations, then give your answer rounded to 1 decimal place, with the lower end first then upper.
(_______ , ___________ )
(_______ , ___________ )
asked 2021-08-01
Of 1000 randomly selected cases of lung cancer 843 resulted in death within 10 years. Construct a \(\displaystyle{95}\%\) two-sided confidence interval on the death rate from lung cancer.
a) Construct a \(\displaystyle{95}\%\) two-sides confidence interval on the death rate from lung cancer. Round your answer 3 decimal places.
\(\displaystyle?\leq{p}\leq?\)
b) Using the point estimate of p obtained from the preliminary sample what sample size is needed to be \(\displaystyle{95}\%\) confident that the error in estimatimating the true value of p is less than 0.00?
c) How large must the sample if we wish to be at least \(\displaystyle{95}\%\) confident that the error in estimating p is less than 0.03 regardless of the value of p?
a) Construct a \(\displaystyle{95}\%\) two-sides confidence interval on the death rate from lung cancer. Round your answer 3 decimal places.
\(\displaystyle?\leq{p}\leq?\)
b) Using the point estimate of p obtained from the preliminary sample what sample size is needed to be \(\displaystyle{95}\%\) confident that the error in estimatimating the true value of p is less than 0.00?
c) How large must the sample if we wish to be at least \(\displaystyle{95}\%\) confident that the error in estimating p is less than 0.03 regardless of the value of p?
