Question

Assume that the duration of human pregnancies can be described by a Normal model with mean...

Assume that the duration of human pregnancies can be described by a Normal model with mean 264 days and standard deviation 15 days. ​

a) What percentage of pregnancies should last between 269 and 281 ​days? ​

b) At least how many days should the longest 30​% of all pregnancies​ last? ​

c) Suppose a certain obstetrician is currently providing prenatal care to 69 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit​ Theorem, what's the distribution of this sample​ mean, y​? Specify the​ model, mean, and standard deviation.

​d) What's the probability that the mean duration of these​ patients' pregnancies will be less than 256 ​days?

Homework Answers

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 duration of human pregnancies can be described by a normal model with mean...
Assume that the duration of human pregnancies can be described by a normal model with mean 265 days and standard deviation 17 days. A) What percentages of pregnancies should last between 268 and 279 days? B) At least how many days should the longest 30% of all pregnancies last? C) Suppose a certain obstetrician is currently providing prenatal care to 51 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, What's the...
Assume that the duration of human pregnancies can be described by a normal model with mean...
Assume that the duration of human pregnancies can be described by a normal model with mean 262 days and standard deviation 13 days. Answer the following questions. ​A) What percentage of pregnancies should last between 255 and 260 ​days? ​B) At least how many days should the longest 30​% of all pregnancies​ last? ​C) Suppose a certain obstetrician is currently providing prenatal care to 30 pregnant women. Let y overbar represent the mean length of their pregnancies. According to the...
It is assumed that the duration of human pregnancies can be described by a Normal model...
It is assumed that the duration of human pregnancies can be described by a Normal model with mean 266 days and standard deviation 16 days. The results shown in the accompanying analysis of pregnancies were based on this normal model. The duration may not actually follow the normal model, however. Complete a and be below. Pregnancy Analysis Results: ​i) Assuming the Normal model is​ true, 21.1% of all pregnancies last between 270 and 280 days. ​ii) Assuming the Normal model...
Assume that the duration of all human pregnancies can be described by a Normal model with...
Assume that the duration of all human pregnancies can be described by a Normal model with mean 262 days and standard deviation 18 days. What percentage of all human pregnancies should last between 255 and 270 days? Give your answer to 4 decimal places.
The length of human pregnancies from conception to birth varies according to a distribution that can...
The length of human pregnancies from conception to birth varies according to a distribution that can be modeled by a normal random variable with mean 269 days and standard deviation 17 days. A) What percent of pregnancies last between 240 and 270 days? Note that the answer is requested as a percent. Use 2 decimal places in your answer. B) The longest 20% of pregnancies last at least how many days? (round to the nearest whole day) days.
The length of the human pregnancies from conception to birth varies according to an approximately normal...
The length of the human pregnancies from conception to birth varies according to an approximately normal distribution with mean 266 days and standard deviation 16 days. (a) What percentage of pregnancies last less than 270 days? (b) What percentage of pregnancies last longer than 282 days? (c) What percentage of pregnancies last between 240 to 270 days? (d) How long do the longest 20% of pregnancies last?
The length of human pregnancies are normally distributed with a mean of 281.9 days and a...
The length of human pregnancies are normally distributed with a mean of 281.9 days and a standard deviation of 11.4 days. a) Find the probability of a pregnancy lasting more than 258 days ( that is premature status). b) Draw the distribution (Label the x value/or z value) and shade the area we are concerned with and calculate the probability. c) Of 500 pregnant women, about how many would you expect to be pregnant for a length of more than...
The length of human pregnancies from conception to birth varies according to a distribution that can...
The length of human pregnancies from conception to birth varies according to a distribution that can be modeled by a normal random variable with mean 265 days and standard deviation 15days. Question 1. What percent of pregnancies last less than 240 days?  Note that the answer is requested as a percent. Use 2 decimal places in your answer. ANSWER: 4.78% Question 2. What percent of pregnancies last between 240 and 270 days? Note that the answer is requested as a percent....
The average length of a human pregnancy is normally distributed, having a mean duration until birth...
The average length of a human pregnancy is normally distributed, having a mean duration until birth (μ) of 266 days and a standard deviation (σ) of 16 days. What percentage of pregnancies will last 290 days or more? What percentage of pregnancies births will take place 246 days or less?
The lengths of human pregnancies are normally distributed with a mean of 268 days and a...
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days? (Remember that this means 300 days or more). Does it appear likely that a pregnancy would last at least 300 days? If we use a definition of premature to be the lowest 3% of pregnancy duration, find the number of days a pregnancy would last that separates...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT