7 - Calculate the 95% margin of error in estimating a binomial proportionpfor the following sample size. Usep= 0.6to calculate the standard error of the estimator. (Round your answer to three decimal places.)

n=5,000

Consider that for p= 0.6 and sample sizes of n= 30,n= 100, andn= 400 the margins of error are 0.175, 0.096, and 0.048

respectively. Comment on how an increased sample size affects the margin of error.

As the sample size increases the margin of error decreases.

As the sample size increases the margin of error also increases.

As the sample size increases the margin of error remains relatively constant.

9 - A random sample ofn=400observations from a binomial population producedx=144successes.

Give the best point estimate for the binomial proportionp. (Round your answer to three decimal places.)

p= ?

Calculate the 95% margin of error. (Round your answer to three decimal places.)

??

You may need to use the appropriateappendix tableto answer this question.

14 - Find thez-value needed to calculate large-sample confidence intervals for the given confidence level. (Round your answer to two decimal places.)confidence coefficient 1=0.97

???????

You may need to use the appropriateappendix tableto answer this question.

15 - Find the necessary confidence interval for a population meanfor the following values. (Round your answers to two decimal places.)a 95% confidence interval, n=64,x=13.6,s²=3.62

?????to ?????

Interpret the interval that you have constructed.

There is a 5% chance that an individual sample mean will fall within the interval.

There is a 95% chance that an individual sample mean will fall within the interval.

In repeated sampling, 5% of all intervals constructed in this manner will enclose the population mean.95% of all values will fall within the interval.

In repeated sampling, 95% of all intervals constructed in this manner will enclose the population mean.

You may need to use the appropriateappendix tableortechnologyto answer this question.

16 - Find the necessary confidence interval for a population mean for the following values. (Round your answers to three decimal places.)a 90% confidence interval,

n = 135, x = 0.89, s² = 0.087

???? to ?????

Interpret the interval that you have constructed.

There is a 10% chance that an individual sample mean will fall within the interval.

90% of all values will fall within the interval. There is a 90% chance that an individual sample mean will fall within the interval.

In repeated sampling, 90% of all intervals constructed in this manner will enclose the population mean.

In repeated sampling, 10% of all intervals constructed in this manner will enclose the population mean.

You may need to use the appropriate appendix table or technology to answer this question.

17 - Find the necessary confidence interval for a population mean for the following values. (Round your answers to two decimal places.)

= 0.01, n = 36, x = 31, s² = 15

???? to ????

Interpret the interval that you have constructed.

We know that 99% of population is within the interval.

In repeated sampling, 99% of all intervals constructed in this manner will enclose the population mean.

In repeated sampling, 1% of all intervals constructed in this manner will enclose the population mean.

There is a 99% probability that the population mean is within the interval.

There is a 1% probability that the population mean is within the interval.

You may need to use the appropriate appendix table or technology to answer this question.

18 - Find the necessary confidence interval for a population mean for the following values. (Round your answers to two decimal places.)

= 0.05, n = 85, x = 66.8, s² = 2.38

???? to ?????

Interpret the interval that you have constructed.

In repeated sampling, 95% of all intervals constructed in this manner will enclose the population mean.

95% of all values will fall within the interval.

There is a 5% chance that an individual sample mean will fall within the interval.

There is a 95% chance that an individual sample mean will fall within the interval.

In repeated sampling, 5% of all intervals constructed in this manner will enclose the population mean.

You may need to use the appropriate appendix table or technology to answer this question.

19 - Find the necessary confidence interval for the binomial proportionp. (Round your answers to three decimal places.)

A 95% confidence interval forp, based on a random sample of900trials of a binomial experiment which produced29successes.

???? to ?????

Interpret the interval that you have constructed.

There is a 95% probability that the sample proportion is within the interval.

We are 95% confident that the population proportion is directly in the middle of these two values.

We are 95% confident that the population proportion is within the interval.

We are 95% confident that the sample proportion is within the interval.

There is a 95% probability that the population proportion is within the interval.

You may need to use the appropriateappendix tableto answer this question.

20 - In addition to teachers and administrative staff, schools also have many other employees, including bus drivers, custodians, and cafeteria workers. In Auburn, WA, the average hourly wage is $24.98 for grounds persons, $21.80 for custodians, and $17.66 for assistant cooks. Suppose that a second school district employs

n = 64 grounds persons who earn an average of $20.35 per hour with a standard deviation of s = $2.89.

Find a 95% confidence interval for the average hourly wage (in dollars) of grounds persons in school districts similar to this one. (Round your answers to two decimal places.)

$ ??? to $ ????

Does your confidence interval enclose the Auburn, WA average of $24.98?

Yes

No

What can you conclude about the hourly wages for grounds persons in school districts similar to the second school district?

Auburn, WA pays all workers significantly more per hour, on average, than districts like the second school district pay.

No conclusion can be made based on the confidence interval. Auburn, WA pays all workers significantly less per hour, on average, than districts like the second school district pay.

Auburn, WA pays grounds persons significantly more per hour, on average, than districts like the second school district pay.

Auburn, WA pays grounds persons significantly less per hour, on average, than districts like the second school district pay.

You may need to use the appropriate appendix table or technology to answer this question.

21 - A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately 1 pound of meat, and one that holds approximately 3 pounds. A random sample of 38 packages in the smaller meat trays produced weight measurements with an average of 1.01 pounds and a standard deviation of 0.11 pound.

(a)Construct a 99% confidence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain. (Round your answers to three decimal places.) lb to lb

(b)What does the phrase "99% confident" mean?

There is a 1% chance that an individual sample mean will fall within the interval.

In repeated sampling, 1% of all intervals constructed in this manner will enclose the population mean.

In repeated sampling, 99% of all intervals constructed in this manner will enclose the population mean.

There is a 99% chance that an individual sample mean will fall within the interval.

99% of all values will fall within the interval.

(c)Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1 pound on average. Should the confidence interval in part (a) concern the quality control department? Explain.

Based on the confidence interval, the quality control department ---Select--- should not should be concerned. Since 1 is ---Select--- above contained in below the interval, the interval ---Select--- does not suggest suggests that is different from 1.

You may need to use the appropriate appendix table or technology to answer this question.

22 - What is normal, when it comes to people's body temperatures? A random sample of 350 human body temperatures had a mean of 98.35 and a standard deviation of 0.71.

(a)Construct a 99% confidence interval for the average body temperature of healthy people. (Round your answers to two decimal places.)

??? to ????

(b)Does the confidence interval constructed in part (a) contain the value 98.6, the usual average temperature cited by physicians and others? If not, what conclusions can you draw?

Since the set of possible values for given in the confidence interval includes the value = 98.6, it is plausible that the true average body temperature for healthy humans is 98.6, the usual average temperature cited by physicians and others.

Since the set of possible values for given in the confidence interval does not include the value = 98.6, it is plausible that the true average body temperature for healthy humans is 98.6, the usual average temperature cited by physicians and others.

Since the set of possible values for given in the confidence interval does not include the value = 98.6, it is not likely that the true average body temperature for healthy humans is 98.6, the usual average temperature cited by physicians and others.

Since the set of possible values for given in the confidence interval includes the value = 98.6, it is not likely that the true average body temperature for healthy humans is 98.6, the usual average temperature cited by physicians and others.

You may need to use the appropriate appendix table or technology to answer this question.