The length of human pregnancies is approximately normally distributed with mean μ= 266 days and standard...

The length of human pregnancies is approximately normally distributed with mean μ= 266 days and standard deviation σ = 15 days.

(a) What is the probability a randomly selected pregnancy lasts less than 262 days?

(b) Suppose a random sample of 20 pregnancies is obtained. Describe the sampling distribution of the sample mean length of human pregnancies.

(d) What is the probability that a random sample of 40 pregnancies has a mean gestation period of 262 days or less?

(e) What might you conclude if a random sample of 40 pregnancies resulted in a mean gestation period of 262 days or less?

(d) What is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less? What might you conclude if a random sample of 50 pregnancies resulted in a mean gestation period of 260 days or less?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The length of human pregnancies is approximately normal distributed with mean =266 days and Standard Deviation...

The length of human pregnancies is approximately normal distributed with mean =266 days and Standard Deviation = 16 days ( 20 points ) . Exercise 8.1 What is the probability a randomly selected pregnancy lasts less than 260 days? Suppose a random sample of 20 pregnancies is obtained. Describe the sample distribution the sampling distribution of sample mean of human pregnancies. What is the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days...

The lengths of pregnancies are normally distributed with a mean of 266 days and a standard...

The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 307 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature.Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... a. The...

1.) the length of human pregnancies has a mean of 266 days and a standard deviation...

1.) the length of human pregnancies has a mean of 266 days and a standard deviation of 16 days. find the probability that a randomly chosen pregnancy lasts between 260 and 270 days. 2.) find the 45th percentile of days for a human pregnancy. 3.) the number of chocolate chips in a bag of chips ahoy cookies has a mean of 1262 with a standard deviation of 118 chips. find the probability a random bag has over 1100 chocolate chips....

Length (in days) of human pregnancies is a normal random variable (X) with mean 266, standard...

Length (in days) of human pregnancies is a normal random variable (X) with mean 266, standard deviation 16. (It would be useful to sketch this normal distribution yourself, marking its mean and the values that are 1, 2, and 3 standard deviations below and above the mean. Click to compare your figure to ours) The probability is 0.95 that a pregnancy will last between ?218234250266282298 and ?218234250266282298 days. The shortest 16% of pregnancies last less than ?218,234,250,266,282,298 days. The probability...

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=267 days and...

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=267 days and standard deviation σ=16 days. (a) What proportion of pregnancies lasts more than 275 days? (b) What proportion of pregnancies lasts between 263 and 271 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 247 days? (d) A "very preterm" baby is one whose gestation period is less than 243 days. Are very preterm babies unusual?

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=252 days and...

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=252 days and standard deviation σ=20 days. (a) What proportion of pregnancies lasts more than 267 days? (b) What proportion of pregnancies lasts between 227 and 257 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 237 days? (d) A "very preterm" baby is one whose gestation period is less than 202 days. Are very preterm babies unusual?

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ= 272 days...

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ= 272 days and standard deviation σ= 88 days. (a) What proportion of pregnancies lasts more than 286 days? (b) What proportion of pregnancies lasts between 262 and 274 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 264days? (d) A "very preterm" baby is one whose gestation period is less than 260 days. Are very preterm babies unusual?

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=252 days and...

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=252 days and standard deviation σ=16 days. (a) What proportion of pregnancies lasts more than 272 days? (b) What proportion of pregnancies lasts between 248 and 260 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 224 days? (d) A "very preterm" baby is one whose gestation period is less than 216 days. Are very preterm babies unusual?

The length of zebra pregnancies is normally distributed, with mean μ = 380 and standard deviation...

The length of zebra pregnancies is normally distributed, with mean μ = 380 and standard deviation σ = 10. A random sample of 11 random pregnant zebras is chosen. Find P(x⎯⎯⎯x¯ < 375) for n = 11. Enter your answer as an area under the curve with 4 decimal places.

Length of human pregnancies follows a normal distribution with a population mean of 266 days and...

Length of human pregnancies follows a normal distribution with a population mean of 266 days and a standard deviation of 16 days. A) 90% of pregnancies last between how many days? B) 60% of pregnancies last between how many days?

Subjects