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A random sample of 205 college students was asked if they believed that places could be haunted and 65 of them responded "yes." Estimate the true proportion of college students who believe in the possibility of haunted places with 99% confidence. According to Time magazine, 37% of Americans believe that places can be haunted.

Nearly one-half of Americans aged 25-29 are unmarried. How large a sample is necessary to estimate the true proportion of unmarried Americans in this age group within 2.5% with 90% confidence?

If the standard deviation of a national accounting examination is 900, how large a sample is needed to estimate the true mean score within 5 points with 99% confidence?

A random sample of 50 four-year olds attending day care centers provided a yearly tuition average of \$3,987 and the population standard deviation of \$630. Find the 90% confidence interval of the true mean.

Full-time Ph.D. students reveive an average of \$12,837 per year in salaries. If the average salaries are normally distributed with a standard deviation of \$1,500, find the probability that

a. The student makes more the \$15,000.
b. The student makes between \$13,000 and \$14,000.

Procter & Gamble reported that an American family of four washes an average of 1 ton (2000 pounds) of clothes each year. If the population standard deviation of the distribution is 187.5 pounds, find the probability that the mean of a randomly selected sample of 50 families of four will be between 1980 and 1990 pounds.

I'm on an iPad and it wouldn't let me select stats.
Find the sample standard deviation for the following data 15,16,17,18,19
I got 1.5 but I'm not sure if it's correct

The mean amount purchased by a typical customer at Churchill's Grocery Store is \$21.00 with a standard deviation of \$7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 42 customers, answer the following questions.

(a)

What is the likelihood the sample mean is at least \$22.50? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability

(b)

What is the likelihood the sample mean is greater than \$20.00 but less than \$22.50? (Round z value to 2 decimal places and final answer to 4 decimal places.)

Probability

(c)

Within what limits will 99 percent of the sample means occur? (Round your answers to 2 decimal places.)

Sample mean

and

1. A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow roses. What is the probability of drawing a pink rose from this bunch of roses?

2. Consider the experiment of rolling a fair die twice. Find the probability that the sum of the two dice equal 4 and one of the dice is a 3.

3. A couple has three children. What is the probability that they will have 2 of one gender and 1 of the other gender?

4. A Rasmussen report in 2009 gives the details about the support President Obama has for his stimulus plan. The table below gives information about the opinions of 200 Democrats, 200 Republicans, and 100 Independents. Use the table to find the probability that a randomly selected individual is a Democrat or he or she favors the plan.
Favor Opposed Not Sure Total
Democrat 128 21 51 200
Republican 26 144 30 200
Independent 31 50 19 100
Total 185 215 100 500

5. According to the National Lightning Safety Institute, 1 in every 200 households will be struck

a. Construct a scatter plot using Excel or StatCrunch for the given data. B. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. C. Complete the table and find the correlation coefficient r. The data for x and y is shown below.

x 11 -6 8 -3 -2 1 5 -5 6 7
y -5 -3 4 1 -1 -2 0 2 3 -4

a. Scatter plot

b. Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation)

c. Complete the table and find the correlation coefficient r.

x y xy x2 y2
11 -5
-6 -3
8 4
-3 1
-2 -1
1 -2
5 0
-5 2
6 3
7 -4

Use the last row of the table to show the column totals.
n = 10

r =

2. a. Construct a scatter plot including the regression line using Excel or StatCrunch for the given data. B. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. C. Complete the table and find the correlation coefficient r.

a. The data below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.

Age, x 38 41 45 48 51 53 57 61 65
Pressure, y 116 120 123 131 142 145 148 150 152

Part 1: Scatter plot with regression line.

Part 2: Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation)

Part 3: Complete the table and find the correlation coefficient r.

x y xy x2 y2
38 116
41 120
45 123
48 131
51 142
53 145
57 148
61 150
65 152

Use the last row of the table to show the column totals.
n = 9

3. Using the r calculated in problem 2c test the significance of the correlation coefficient using  = 0.01 and the claim rho = 0. Use the steps for a hypothesis test shown. (Note: Round the computed t to 3 decimal places.)

1. H0 :
Ha :
2.  =
3.
4. For degrees of freedom =
5. Rejection region:
6. Decision: Since
7. Interpretation:

4. The data below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.

Age, x 38 41 45 48 51 53 57 61 65
Pressure, y 116 120 123 131 142 145 148 150 152

a. Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places.

b. Using the equation found in part a, predict the pressure when the age is 50. Round to the nearest mm.

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