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 P59, the 59-percentile. Round to 3 decimal places. This is the temperature reading separating the bottom 59% from the top 41%.

P59 = °C

Homework Answers

Answer #1

Solution: 59-percentile is 0.228°C

Given information,

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.

We need to find a score x so that the corresponding cumulative normal probability is equal to 0.59. Mathematically, x is such that:

P(X<=x)=0.59

The corresponding z score score so that the cumulative standard normal probability distribution is 0.59 is Zc​=0.2275

x= μ+zc​×σ =0+0.2275×1=0.2275

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar 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 P99, the 99-percentile. This is the temperature reading separating the bottom 99% from the top 1%.
Assume that the readings at freezing on a batch of thermometers are Normally distributed with mean...
Assume that the readings at freezing on a batch of thermometers are Normally distributed with mean 0°C and standard deviation 1.00°C. Find P1, the 1-percentile of the distribution of temperature readings. This is the temperature reading separating the bottom 1% from the top 99%. °C Round to 2 places.
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 -2.95°C and 0.11°C. Give your answer to 4 decimal places.
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 -2.75°C and 0°C. P ( − 2.75 < Z < 0 ) =
3.Assume that the readings at freezing on a batch of thermometers are normally distributed with a...
3.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 greater than 1.865°C. P(Z>1.865)=P(Z>1.865)= (Round to four decimal places) 4.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...
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees...
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 85​, the 85 th percentile. This is the temperature reading separating the bottom 85 % from the top 15 %.
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 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 -1.404°C and 2.955°C. P(−1.404<Z<2.955)=
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 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 0.244°C and 0.251°C. P(0.244<Z<0.251)
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 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 -1.503°C. P(Z<−1.503)=P(Z<-1.503)=
Assume that the readings on thermometers are normally distributed with a mean of 0 and a...
Assume that the readings on thermometers are normally distributed with a mean of 0 and a standard deviation of 1.00. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 83 (83 percentile). This is the temperature reading separating the bottom 83 % from the top 17 %. Please give me explicit instructions step by step. I read others here and need extreme detail on how to do this. Thank you.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT