1, Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 189 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion is less than 0.29?

Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

2,In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 173. What is the probability that the sample proportion will be 3 or more percent below the population proportion?

Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

3, Based on historical data, your manager believes that 31% of the company's orders come from first-time customers. A random sample of 122 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion is greater than 0.19?

Answer =(Enter your answer as a number accurate to 4 decimal places.)

4, In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 127. What is the probability that the sample proportion will be at least 5 percentage points higher than the population proportion?

Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

5, Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 240 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion is between 0.3 and 0.47?

Answer =(Enter your answer as a number accurate to 4 decimal places.)

6, A Food Marketing Institute found that 27% of households spend more than $125 a week on groceries. Assume the population proportion is 0.27 and a simple random sample of 95 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.22 and 0.45?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Do not use tables unless specifically told to.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

7, A population of values has a normal distribution with=27.3 and=98.2 You intend to draw a random sample of sizen=233

What is the mean of the distribution of sample means?

x=(Enter your answer as a number accurate to 4 decimal places.)

What is the standard deviation of the distribution of sample means?

(Report answers accurate to 4 decimal places.)

x=

8, LetXrepresent the full height of a certain species of tree. Assume thatXhas a normal probability distribution with=30.1 ft and=6.9ft.

You intend to measure a random sample ofn=28trees.

What is the mean of the distribution of sample means?

x=

What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?

(Report answers accurate to 4 decimal places.)

x=

9, A population of values has a normal distribution with=148.1 and=88.4You intend to draw a random sample of sizen=170.

Find the probability that a single randomly selected value is greater than 137.3.

P(x>137.3)=

Find the probability that a sample of sizen=170is randomly selected with a mean greater than 137.3.

P(x>137.3) =Enter your answers as numbers accurate to 4 decimal places.

10, CNNBC recently reported that the mean annual cost of auto insurance is 988 dollars. Assume the standard deviation is 288 dollars. You take a simple random sample of 54 auto insurance policies.

Find the probability that a single randomly selected value is less than 976 dollars.

P(x<976)=

Find the probability that a sample of sizen=54is randomly selected with a mean less than 976 dollars.

P(x<976)=

Enter your answers as numbers accurate to 4 decimal places.