1. A National Realtor organization reported that 31.7% of homes purchased in 2017 were investment properties. Describe the sampling distribution if 48 properties purchased in 2017 were randomly sampled. In your calculations use your standard error rounded to 3 decimal places. Describe the sampling distribution of p^. Center: mean= ________________

Write the answer as a decimal

Spread: SE p^= __________________ Round to 3 decimal places

Assume the sampling distribution satisfies the criteria and is approximately normal. Round to 4 decimal places.

Find P(p^ >0.35)=_______________

Find P(p<0.23)= ______________

2. When taking a certain drug 8.8% experience nausea as a side effect. A scientist took a random sample of 1090 individuals who were taking the drug and recorded the sample proportion who experienced nausea as a side effect, p^. Assume the sampling distribution satisfies the criteria and is approximately normal. Round to 4 decimal places. In your calculations use your standard error rounded to 3 decimal places. a) Find the probability that the sample proportion of patients who experience a nausea side-effect at least 0.09. Find P(p ^ 0.09)= ____________

b) Find the probability that the sample proportion of patients who experience a nausea side-effect is less than 0.06. Find P(p^ <0.06)= ____________

c) Find the probability that the sample proportion of patients who experience a nausea side-effect is between 0.05 and 0.1. Find P(0.05

3.Solve, graph, and give interval notation for the compound inequality. If there is no solution, type DNE and leave graph blank. Note: DNE means does not exist. 2x3<7 OR 4x48

Draw the inequality line

Interval notationfor the above graph is:

4. Solve, graph, and give interval notation for the compound inequality: 3x4<10 OR 4x+13

Draw the inequality line

Interval notationfor the above graph is:

5. The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 16 days. What percentage of pregnancies last fewer than 263 days?

P (X< 263 days) = %

Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.