Find the z value that corresponds to the given area

Question 1 Provide an appropriate response.
Use a standard normal table to find the z-score that corresponds to the cumulative area of 0.7019.

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A.

0.835

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B.

-0.835

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C.

-0.53

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D.

0.53

Question 2 Provide an appropriate response Find the z-score that has 84.85% of the distribution's area to its right.

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A.

-0.39

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B.

-1.03

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C.

0.39

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D.

1.03

Question 3 Provide an appropriate response Find the z-scores for which 90% of the distribution's area lies between -z and z.

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A.

(-0.99, 0.99)

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B.

(-2.33, 2.33)

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C.

(-1.645, 1.645)

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D.

(-1.96, 1.96)

Question 4 Provide an appropriate response.Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches.

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A.

0.9918

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B.

0.0082

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C.

0.2881

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D.

0.8989

Question 5 Provide an appropriate response.
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are randomly selected, find the probability that their mean blood pressure will be less than 117.

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A.

0.0062

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B.

0.8615

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C.

0.8819

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D.

0.9938

Question 6 Provide an appropriate response.
Find the z-score that corresponds to the given area under the standard normal curve.

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A.

z = 0.42

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B.

z=0.40

Question 7 Provide an appropriate response.The scores on a mathematics exam have a mean of 70 and a standard deviation of 5. Find the x-value that corresponds to the z-score 2.33.

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A.

72.3

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B.

58.4

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C.

75.0

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D.

81.7

Question 1 Provide an appropriate response.
For the standard normal curve, find the z-score that corresponds to the 90th percentile.

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A.

1.28

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B.

1.52

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C.

0.28

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D.

2.81

Question 2 Provide an appropriate response.
Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $37,000 and a standard deviation of $5000. What is the cutoff salary for teachers in the bottom 10%?

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A.

$28,775

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B.

$30,600

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C.

$45,225

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D.

$43,400

Question 3 Provide an appropriate response.Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $29,000 and a standard deviation of $2000. What is the cutoff salary for teachers in the top 10%?

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Question 4 Provide an appropriate responseFind the z-score that is greater than the mean and for which 70% of the distribution's area lies to its left.

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A.

0.47

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B.

0.81

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C.

0.53

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D.

0.98

Question 5 Provide an appropriate response.
Find the z-score that has 84.85% of the distribution's area to its right.

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A.

-1.03

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B.

1.03

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C.

-0.39

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D.

0.39

Question 6 Provide an appropriate response.The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds.

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A.

0.8815

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B.

0.0985

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C.

0.7613

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D.

0.9015

Question 7 Provide an appropriate response.
Find the z-score for which 99% of the distribution's area lies between -z and z.

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A.

(-1.645, 1.645)

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B.

(-2.33, 2.33)

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C.

(-1.28, 1.28)

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D.

(-2.575, 2.575)

Question 8 Provide an appropriate response.The distribution of room and board expenses per year at a four-year college is normally distributed with a mean of $5850 and standard deviation of $1125. Random samples of size 20 are drawn from this population and the mean of each sample is determined. Which of the following mean expenses would be considered unusual?

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A.

none of these

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B.

$6180

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C.

$5180

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D.

$6350

Question 1 Provide an appropriate response. Use a standard normal table to find the z-score that corresponds to the 80th percentile.

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A.

2.41

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B.

1.405

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C.

0.84

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D.

0.2

Question 2 Provide an appropriate response.The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be less than 200 pounds.

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A.

0.9015

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B.

0.0985

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C.

0.7613

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D.

0.8815

Question 3 Provide an appropriate response.The scores on a mathematics exam have a mean of 70 and a standard deviation of 5. Find the x-value that corresponds to the z-score 2.33.

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A.

81.7

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B.

75.0

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C.

58.4

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D.

72.3

Question 4 Provide an appropriate response.Assume that the heights of men are normally distributed with a mean of 69.5 inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 70.5 inches.

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A.

0.9005

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B.

0.8188

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C.

9.9671

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D.

0.0021

Question 5 Provide an appropriate response.Find the z-score for which 70% of the distribution's area lies to its right.

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A.

-0.47

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B.

-0.98

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C.

-0.81

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D.

-0.53

The spreadsheet entitled COMPUTERS Stats consists of the mean monthly assembly cost (AC) and the mean monthly percent of profit (PP) earned by the company for the 36 months from 2011-2013 as well as the assembly cost and the monthly percent of profit for the first 36 days of production during January and February of 2015 following a change in Ownership.

1. For AC and PP in the 2015 stats, perform the following computations:

· Find the mean, median and mode.

· Find the standard deviation s of this sample week.

· Create a frequency distribution table with 4 classes.

· Create a histogram using your frequency table.

· Draw a boxplot of the assembly costs.

· Using the results from part a) and b) ) to find what percentage of the 36 days’ AC is within +/- 1 standard deviations of the mean.

· If 35.4% or more is considered a good percentage of profit, what percentage of the 36 days’ PP are 35.4% or more?

· If we assume 35.4% or more, what percentage of those profits were accomplished in with an assembly cost of $330 or less?

· Assuming that the 36 months’ mean AC for the first 36 months is a normal distribution, find the mean and the standard deviation, then use a z-table to find what percent of AC was between $320 and $350 per month.

· Use the 36 months of statistics to create a scatterplot with AC on the x-axis and PP on the y-axis.

· Draw in a trend line and calculate the equation for the line of regression.

· Using this equation from part k), approximate to the nearest whole number the percent of profit that could result from requiring an average assembly cost of $340 during the 36 months and approximate to the nearest cent the assembly cost that would result in producing an average of 34.7% per month during that same 36 months. Using StatCrunch, show that the data you used to establish your sample of sample means for the first semester is normally distributed by creating a Normal Quantile Plot.

2. Assuming that the 36 days in January and February are a representative sample and that the 36 days’ AC fit a Normal Distribution Curve, do an estimation of the Mean by establishing a margin of error and a confidence interval of the mean assembly cost recorded during the 36 days. Use 95% confidence-level.

3. For the 36 months from 2011-2013, you calculated the mean AC by the company in a month as well as the standard deviation. Use these as the basis for the mean hypothesis claim, H0.

· Has this changed during the 36 days in January and February of 2015?

· Using the sample of the 36 days in January and February for the company’ AC, has there been a significant statistical change in the mean AC since 2013? (Hint: Test this using a significance level of .05

· State your Alternative Hypothesis.

· Find a Z-test and a P-value that either supports or rejects the null hypothesis.

· State your conclusion in one descriptive sentence.