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 this​ population?

 

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 the​ website's findings?

 

c. What assumptions need to be made about this​ population?

 

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 automobile​ club's findings?

 

c. What assumptions need to be made about this​ population?

 

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 this​ sample?

 

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 this​ sample?

 

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.) 

AccountingQueen

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