Standard Normal Curve – Exit Ticket 10/23

Last updated over 5 years ago

9 questions

Use the information to answer the questions below.

Standard Normal Curve – Exit Ticket 10/23

Last updated over 5 years ago

9 questions

For #1-3 use the following information:
There are 80 teachers at Yelm High School. They have a mean age of 53 years and a standard deviation of 8 years. Assume that the distribution is normally distributed.

If I am 35 years old, what is the z-score for my age?

If I am 35 years old, what percentile am I at for teachers at YHS? (round to nearest whole percentile)

If I am 35 years old, how many teachers are older than me at YHS? (round down to nearest whole number)

The weights of cars passing over a bridge have a mean of 3,550 pounds and
standard deviation of 900 pounds. Assume that the weights of the cars passing
over the bridge are normally distributed. Determine the probability of each
instance.

Use the information to answer the questions below.

The weight of a randomly selected car is more than 4,000 pounds. (round to nearest hundreth)

The weight of a randomly selected car is less than 3,000 pounds. (round to nearest hundreth)

The weight of a randomly selected car is between 2,800 and 4,450 pounds.

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 table of standard normal curve areas to find the probability that a randomly selected SAT student scores less than 380. (write as % rounded to nearest hundreth)

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 table of standard normal curve areas to find the probability that a randomly selected SAT student scores more than 700. (write as % rounded to nearest hundreth)

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 table of standard normal curve areas to find the probability that a randomly selected SAT student scores is between 440 and 560. (write as % rounded to nearest hundreth)