Technology is needed to complete the question

4. A national air traffic control system handled an average of 47,833 flights during 29 randomly selected days in a recent year. The standard deviation for this sample is 6,238 flights per day. Complete parts a through c below.

a. Construct aa 99% confidence interval to estimate the average number of flights per day handled by the system. The 99% confidence interval to estimate the average number of flights per day handled by the system is from a lower limit of____ to an upper limit of_____.

(Round to the nearest whole numbers.)

b. Suppose an airline company claimed that the national air traffic control system handles an average of 50,000 flights per day. Do the results from this sample validate the airline company's claim?

c. What assumptions need to be made about thispopulation?

5. The following data show the number of hours per day 1212 adults spent in front of screens watching television-related content. Complete parts a and b below.

1.5, 4.6, 4.3, 5.1, 7.4, 6.8, 5.3, 2.9, 5.2, 1.5, 2.2, 8.1

a. Construct a 90% confidence interval to estimate the average number of hours per day adults spend in front of screens watching television-related content.

The 90% confidence interval to estimate the average number of hours per day adults spend in front of screens watching television-related content is from____ hours to

____ hours.

(Round to two decimal places as needed.)

b. What assumptions need to be made about this population?

6. According to a travel website, workers in a certain country lead the world in vacation days, averaging 19.06 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country. Complete parts a through c below.

9, 3, 8,10, 12, 15, 25, 21, 16, 31, 24, 27, 28, 18, 35, 31, 26, 25, 42, 63

a. Construct a 95% confidence interval to estimate the average number of paid vacation days for workers from this country.

The 95% confidence interval to estimate the average number of paid vacation days for workers from this country is from

______ days to_____ days.

(Round to two decimal places as needed.)

b. Do the results from this sample validate thewebsite's findings?

c. What assumptions need to be made about thispopulation?

7. An automobile club reported that the average price of regular gasoline in a certain state was $2.61 per gallon. The following data show the price per gallon of regular gasoline for 15 randomly selected stations in the state. Complete parts a through c below.

2.64, 2.68, 2.63, 2.59, 2.55, 2.51, 2.64, 2.63, 2.66, 2.75, 2.58, 2.73, 2.62, 2.65, 2.52

a. Construct a 99% confidence interval to estimate the average price per gallon of gasoline in the state. The 9999% confidence interval to estimate the average price per gallon of gasoline in the state is from $______ to $_____.

(Round to the nearest cent.)

b. Do the results from this sample validate the automobileclub's findings?

c. What assumptions need to be made about thispopulation?

8. It was reported that 58% of individual tax returns were filed electronically in 2012. A random sample of 325 tax returns from 2013 was selected. From this sample, 209 were filed electronically. Complete parts a through c below.

a. Construct a 95% confidence interval to estimate the actual proportion of taxpayers who filed electronically in 2013.

A 95% confidence interval to estimate the actual proportion has a lower limit of

____ and an upper limit of_____.

(Round to three decimal places as needed.)

b. What is the margin of error for this sample?

c. Is there any evidence that this proportion has changed since 2012 based on thissample?

9. A website reported that 31% of drivers 18 and older admitted to texting while driving in 2009. In a random sample of 400 drivers 18 years and older drawn in 2010, 79 of the drivers said they texted while driving. Complete parts a through c below.

a. Construct a 95% confidence interval to estimate the actual proportion of people who texted while driving in 2010.

A 95% confidence interval to estimate the actual proportion has a lower limit of

_____ and an upper limit of______.

(Round to three decimal places as needed.)

b. What is the margin of error for thissample?

c. Is there any evidence that this proportion has changed since 2009 based on this sample?

10. According to a census bureau, 12.5% of the population in a certain country changed addresses from 2008 to 2009. In 2010, 36 out of a random sample of 400 citizens of this country said they changed addresses during the previous year (in 2009). Complete parts a through c below.

a. Construct a 95% confidence interval to estimate the actual proportion of people who changed addresses from 2009 to 2010.

A 95% confidence interval to estimate the actual proportion has a lower limit of_____ and an upper limit of______.

(Round to three decimal places as needed.)

b. What is the margin of error for this sample?

c. Is there any evidence that this proportion has changed since 2009 based on this sample?

11. A tire manufacturer would like to estimate the average tire life of its new all-season light truck tire in terms of how many miles it lasts. Determine the sample size needed to construct a 97% confidence interval with a margin of error equal to 2,000 miles. Assume the standard deviation for the tire life of this particular brand is 7,500 miles.

The sample size needed is_____.

(Round up to the nearest integer.)

12. A producer of a variety of salty snacks would like to estimate the average weight of a bag of BBQ potato chips produced during the filling process at one of its plants. Determine the sample size needed to construct a 90% confidence interval with a margin of error equal to 0.004 ounces. Assume the standard deviation for the potato chip filling process is 0.07 ounces.

The sample size needed is_____.

(Round up to the nearest integer.)

13. A certain region would like to estimate the proportion of voters who intend to participate in upcoming elections. A pilot sample of 50 voters found that 30 of them intended to vote in the election. Determine the additional number of voters that need to be sampled to construct a 99% interval with a margin of error equal to 0.04 to estimate the proportion.

The region should sample_____ additional voters.

(Round up to the nearest integer.)

14. A restaurant would like to estimate the proportion of tips that exceed 18% of its dinner bills. Without any knowledge of the population proportion, determine the sample size needed to construct a 97% confidence interval with a margin of error of no more than 6% to estimate the proportion.

The sample size needed is____.

(Round up to the nearest integer.)