Section 7.4 Homework

Navigation » List of Schools, Subjects, and Courses » Math 138 – Statistics » Homeworks » Section 7.4 Homework

No Answers We dont have answer to this question yet. If you need help with your homework send us an email or chat with our tutors

Question

Section 7.4 Homework

1. Fill in the blank with the appropriate word or phrase.

If n is the sample size and x is the number in the sample who have a certain characteristic, then x/n is called the sample _________

2. Fill in the blank with the appropriate word or phrase.

The probability distribution of

\hat{P}

is called a ________ distribution

3. Below, n is the sample size, p is the population proportion, and

\hat{p}

is the sample proportion. First, check if the assumptions are satisfied to use the normal distribution for probabilities. If appropriate, use the Central Limit Theorem to find the indicated probability.

n = 111

p = 0.59

It ______ appropriate to use the normal distribution for probabilities.

P (0.56 < \hat{p} < 0.60) =_____

4. Coffee: The National Coffee Association reported that 62% of U.S. adults drink coffee daily. A random sample of 275 U.S. adults is selected. Round your answers to at least four decimal places as needed.

(a) Find the mean

μ_{\hat{p}}

The mean

μ_{\hat{p}}

(b) Find the standard deviation

σ_{\hat{p}}

The standard deviation

σ_{\hat{p}}

The probability that more than 66% of the sampled adults drink coffee daily is______

(d) Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.53 and 0.71.

The probability that the proportion of the sampled adults who drink coffee daily is between 0.53 and 0.71 is _______

(e) Find the probability that less than 57% of sampled adults drink coffee daily.

The probability that less than 57% of sampled adults drink coffee daily is _______

(f) Using a cutoff of 0.05, would it be unusual if less than 56% of the sampled adults drink coffee daily?

It _______be unusual if less than 56% of the sampled adults drink coffee daily, since the probability is _______

5. Working two jobs: About13% of employed adults in the United States held multiple jobs. A random sample of 74 employed adults is chosen. Use the TI-84 Plus calculator as needed.

(a) Is it appropriate to use the normal approximation to find the probability that less than 7.1% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not.

It _________appropriate to use the normal curve, since np = _________< _____.

(b) A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold multiple jobs. Round the answer to at least four decimal places as needed.

The probability that less than 6.6% of the individuals in this sample hold multiple jobs is ______

(c) Find the probability that more than 6.6% of the individuals in the sample of 225 hold multiple jobs. Round the answer to at least four decimal places as needed.

The probability that more than 6.6% of individuals in the sample of 225 hold multiple jobs is _________

(d) Find the probability that the proportion of individuals in the sample of 225 who hold multiple jobs is between 0.14 and 0.18. Round the answer to at least four decimal places as needed.

The probability that the proportion of individuals in the sample of 225 hold multiple jobs is between 0.14 and 0.18 is _________

(e) Using a cutoff of 0.05, would it be unusual if less than 8% of the individuals in the sample of 225 held multiple jobs? Round the answer to at least four decimal places as needed.

It ________be unusual if less than 8% of the individuals in the sample of 225 held multiple jobs, since the probability is _________

We don’t have answer to this question yet.If you need help with your homework send us an email at

or chat with our tutors

This question is taken from Math 138 – Statistics » Fall 2021 » Homeworks

View All Questions