MATH 180 MATH180 MATH/180 Answers to lab questions for week 6.doc

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MATH 180 MATH180 MATH/180 Answers to lab questions for week 6.doc

Assignment allows up to 4 submissions.

After 1 submission it displays available hints, offers tutorials, and textbook links.

After 2 submissions it provides a full solution and then regenerates new problem data/numbers for the next two submissions.

The assignment is available to work after the due date.

Assignment Submission & Scoring

Assignment Submission

For this assignment, you submit answers by questions. You are required to use a new randomization after every 2 question submissions.Assignment ScoringYour best submission for each entire question is used for your score.

Submissions Used

Find the z-score that marks the 60th percentile (denoted P60). That is, find the z-score that delineates the lower 60% from the upper 40% of all the z-scores. Enter your answer to 2 or 3 decimal places. 0.25

Use the z-table to find the requested probabilities. Enter your answers to 4 decimal places. (a) P(z< 2.82) = 0.9976(b) P(z≥ 0.81) = 0.2090 (c) P(−2.46 < z< 2.83) = 0.9908

Solution or Explanation

(a)P(z< 2.82) = 0.9976(found in the z-table)

(b) P(z≥ 0.81)

= 1 − P(z< 0.81)

= 1 − 0.7910 (found in the z−table)

= 0.2090

(c) P(−2.46 < z< 2.83)

= P(z< 2.83) − P(z< −2.46)

= 0.9977 − 0.0069 (from the z-table)

= 0.9908

If P(z< z*)

= 0.80, then P(−z* < z< z*)

= 0.60

Find the z-scores that delineate the middle 95% of all values from the others. Enter your answers to 2 or 3 decimal places. from -1.96 to 1.96

Find the z-scores that delineate the middle 92% of all values from the others. Enter your answers to 2 or 3 decimal places. from -1.751 to 1.751

Suppose P(z≤ z*) = 0.90. Select the two reasons why P(z> z*) = 0.10.Because z* is so small. Because P(z≤ z*) − P(z> z*) always equals 0.80.Because these two events are complements and the sum of their probabilities must be one.Because the total area under the probability density curve equals 1.

Speeding:On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 69.7 mph and a standard deviation of 3.1 mph.You are traveling at 76 mph. Approximately what percentage of cars are traveling faster than you? Enter your answer as a percentage with 1 decimal place.

MATH 180 MATH180 MATH/180 Answers to lab questions for week 6.doc

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