Z table

Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 8% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.

  1. 👍
  2. 👎
  3. 👁
  1. Draw a sketch of what you want, similar to this:
    http://prntscr.com/8kitsp

    THen look up the standard normal distribution table (left tail) the number of standard deviations that correspond to 92%. (it should be between 1.4 and 1.5).
    Since each standard deviation corresponds to 1°, so you can figure out the cut-off temperature.

    1. 👍
    2. 👎
  2. or, you can play around with Z values and areas at

    http://davidmlane.com/hyperstat/z_table.html

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    Assume that blood pressure readings are normally distributed with a mean of 123 and a standard deviation of 9.6. If 144 people are randomly selected, find the probability that their mean blood pressure will be less than 125.

  2. Math 120

    The results of a certain medical test are normally distributed with a mean of 128 and a standard deviation of 19. ​(A score above 140 is considered​ unhealthy.) Use the given table to find the percentage of people with

  3. Math

    Suppose scores on an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a person who takes the test will score between 90 and 110?

  4. science

    Sarah’s science class is investigating heat energy. They wonder what would happen to the temperature reading on a thermometer if they put the thermometer inside a mitten. Sarah’s group obtained two thermometers and a mitten.

  1. Statistics - M/C

    14. The marks on a statistics test are normally distributed with a mean of 62 and a variance of 225. If the instructor wishes to assign B’s or higher to the top 30% of the students in the class, what mark is required to get a B

  2. statistics

    IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. The middle 30% of IQs fall between what two values?

  3. statistics

    Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 84 84 mmHg and a standard deviation of 9 9 mmHg. Using the empirical rule, what percentage of adult males have diastolic

  4. Math

    The results of a certain medical test are normally distributed with a mean of 130 and a standard deviation of 12. ​(A reading above 149 is considered​ unhealthy.) Use the given table to find the percentage of people with

  1. Stats

    Suppose the time it takes for a purchasing agent to complete an online ordering process is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. Suppose a random sample of 25 ordering processes is

  2. physics

    If you stand on a pair of bathroom scales, explain how the readings change as you shift your weight gradually from side to side. what rule governs the readings on the scale?

  3. math: 68-95-99.7 rule

    suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000 use the rule to find the percentage of buyers who paid: between $150,000if the standard deviation is $1200

  4. statistics

    assume that blood pressure readings are normally distributed with a mean of 111 and standard deviation of 7. A researcher wishes to select people for a study but wants to exclude the top and bottom 10 percent. What would be the

You can view more similar questions or ask a new question.