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 = 0.58^{0} 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 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 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 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 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 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 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 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 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 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 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)