Question

# Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P72, the 72-percentile. This is the temperature reading separating the bottom 72% from the top 28%. P72 = °C

Solution :

Given that,

mean = = 0

standard deviation = = 1.00

Using standard normal table ,

P(Z < z) = 72%

P(Z < 0.58) = 0.72

z = 0.58

Using z-score formula,

x = z * +

x = 0.58 * 1.00 + 0 = 0.58

P72 = 0.580 C

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P86, the 86-percentile. This is the temperature reading separating the bottom 86% from the top 14%.

• ### Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P34, the 34-percentile. This is the temperature reading separating the bottom 34% from the top 66%. P34 = °C

• ### Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C andra standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P2, the 12-percentile. This is the temperature reading separating the bottom 12% from the top 88%. P12

• ### 1. Assume that the readings at freezing on a batch of thermometers are normally distributed with...

1. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than 1.089°C. P(Z<1.089)=P(Z<1.089)=  (Round answer to four decimal places.) 2. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is...

• ### 1. Assume that the readings at freezing on a batch of thermometers are normally distributed with...

1. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -0.864°C. P(Z<−0.864)= 2. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find...

• ### Assume that the readings at freezing on a bundle of thermometers are normally distributed with a...

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of O'C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.972°C. P(Z > - 0.972) = Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and...

• ### Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0°C and 1.059°C. P(0 < < < 1.059)

• ### Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. If 1.4% of the thermometers are rejected because they have readings that are too high and another 1.4% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. Please round answers to...

• ### PLEAE HELPPPP I HAVE ONE MORE CHANVE Assume that the readings at freezing on a batch...

PLEAE HELPPPP I HAVE ONE MORE CHANVE Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P41, the 41-percentile. This is the temperature reading separating the bottom 41% from the top 59%. 410.2275°C

• ### Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -2.651°C. P(Z<−2.651)= (Round to 4 decimal places)