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Laabri

APS1-2 Unit 1 Review- Normal Model

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Last updated about 5 years ago
15 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Below are the summary statistics for the weekly payroll of a small company:

Min: $300

Mean: $700

Median: $500

Range: $1200

IQR: $600

First Quartile: $350

SD: $400

Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Below are the summary statistics for the weekly payroll of a small company:

Min: $300

Mean: $700

Median: $500

Range: $1200

IQR: $600

First Quartile: $350

SD: $400

Between what two values are the middle 50% of salaries found?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Below are the summary statistics for the weekly payroll of a small company:

Min: $300

Mean: $700

Median: $500

Range: $1200

IQR: $600

First Quartile: $350

SD: $400

Suppose everyone gets a $50 raise. Which summary statistics will or will not be impacted by this raise?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Below are the summary statistics for the weekly payroll of a small company:

Min: $300

Mean: $700

Median: $500

Range: $1200

IQR: $600

First Quartile: $350

SD: $400

Instead, each employee gets a 10% raise. Explain how the summary statistics will be impacted.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Below are the summary statistics for the weekly payroll of a small company:

Min: $300

Mean: $700

Median: $500

Range: $1200

IQR: $600

First Quartile: $350

SD: $400

Find and interpret the z-score of a person who makes $650 per week.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Find the z-score for a student who scores 700. (AP generally expects to see work shown for z-score calculations.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming that this scaling still applies, use a calculator to find the probability that a randomly selected SAT student scores more than 700. Type your answers with proper notation in the answer box. Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Find the z-score of the SAT scores 440 and 560. Type your work in the Show Your Work Box (AP would require that you show the z-score calculations), then type your answers as z-score- comma- space- other z-score.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming that this scaling still applies, use a calculator to find the probability that a randomly selected SAT student scores between 440 and 560. Type your work in the Show Your Work Box (AP would require that you show the z-score calculations), then type your answers with proper notation in the answer box. Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.

What is the z-score of a student who scored in the 98th percentile?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.

What is the raw score of a student who scored in the 98th percentile?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

In 2012, the mean SAT math score was 514, and the standard deviation was 117. For the purposes of this question, assume that the scores were normally distributed. Using a graphing calculator, find the probability that a randomly selected SAT math student in 2012 scored less than 350.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

In 2012, the mean SAT math score was 514, and the standard deviation was 117. For the purposes of this question, assume that the scores were normally distributed. The people who had the top 5% of scores had a score of at least...

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. What is the probability the weight of a randomly selected car is less than 3,000 pounds.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed.

How many pounds would a car weigh at the 60th percentile? (round to 2 decimals)