Question

the average age of doctors in a certain hospital is 50.0 years old. Suppose the distribution...

the average age of doctors in a certain hospital is 50.0 years old. Suppose the distribution of ages is normal and has a standard deviation of 6.0 years. If nine doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 50.6. Assume that the variable is normally distributed

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 50.0

standard deviation = = 6.0

= / n = 6.0 / 9 = 2

P( < 50.6) = P(( - ) / < (50.6 - 50.0) / 2)

= P(z < 0.3)

= 0.6179

Probability = 0.6179

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A random sample of 36 staff members at a local hospital showed an average age of...
A random sample of 36 staff members at a local hospital showed an average age of 25 years. Ages of the staff at the hospital are normally distributed with a population standard deviation of 1.8 years. The 98% confidence interval for the average age of all hospital staff is a) 24.385 to 25.615 b) 23.200 to 26.800 c) 24.301 to 25.699 d) 23.236 to 26.764
In a certain country, the average age is 31 years old and the standard deviation is...
In a certain country, the average age is 31 years old and the standard deviation is 4 years. If we select a simple random sample of 100 people from this country, what is the probability that the average age of our sample is at least 32? 0.006 0.599 0.401 0.994
Suppose that the population of surfers in the United States have ages that are normally distributed...
Suppose that the population of surfers in the United States have ages that are normally distributed with a mean of 28 years and a standard deviation of 5 years. - What percentage of surfers are less than 32 years old? - If a random sample of 60 surfers is taken, what is the probability that the sample’s average age is between 28 and 29 years old?
The average age of CEOs is 56 years. Assume the variable is normally distributed. If the...
The average age of CEOs is 56 years. Assume the variable is normally distributed. If the standard deviation is 4 years, find the probability that the age of a randomly selected CEO will be in between 50 and 55 years old. Give the probability as a decimal rounded to four decimal places.
The average age of passenger train cars is 19.4 years. If the distribution of ages is...
The average age of passenger train cars is 19.4 years. If the distribution of ages is normal and 14% of the cars are older than 22.7 years, find the standard deviation.
Suppose students' ages follow a skewed right distribution with a mean of 24 years old and...
Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 5 years. If we randomly sample 250 students, which of the following statements about the sampling distribution of the sample mean age is incorrect? The shape of the sampling distribution is approximately normal. The mean of the sampling distribution is approximately 24 years old. The standard deviation of the sampling distribution is equal to 5 years. All of the above...
Suppose that the age of a car in the United States is normally distributed with a...
Suppose that the age of a car in the United States is normally distributed with a mean of 6.3 years and a standard deviation of 0.8 years. - Draw and label a normal distribution curve representing this distribution (do not use the standard normal with z−scores) Clearly label the values corresponding to 1, 2 and 3 standard deviations from the mean. - What is the probability that a randomly selected car from this population is over 5 years old? Shade...
Suppose that the Average student is 20.6 years with a standard deviation of 1.7 years. Suppose...
Suppose that the Average student is 20.6 years with a standard deviation of 1.7 years. Suppose we obtain a simple random sample of 100 students ages. 1) What is the expected sample average age? 2) What is the standard deviation of the sample average? 3) Find the probability that the sample average is at least 21.3 years.
The average age of passenger train cars is 19.4 years. If the distribution of ages is...
The average age of passenger train cars is 19.4 years. If the distribution of ages is normal and 15% of the cars are older than 21.1 years, find the standard deviation. Round z-value calculations to 2 decimal places and final answer to 2 decimal places.
The ages of all college students follow a normal distribution with a mean of 27 years...
The ages of all college students follow a normal distribution with a mean of 27 years and standard deviation of 4.4 years. Find the probability that the mean age for a random sample of 36 students would be: Between 25.5 and 28 years old Less than 25.5 years old Instructions: Draw the normal curve and shade the area where applicable Do not give calculator key strokes. (Give the formula used) Circle your answer to the question.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT