Question

In: Statistics and Probability

1, Find the​ Z-scores that separate the middle 59​% of the distribution from the area in...

1, Find the​ Z-scores that separate the middle 59​% of the distribution from the area in the tails of the standard normal distribution..

The​ Z-scores are

2, The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.

​(a) What is the probability that a randomly selected bag contains between 1000 and 1400

chocolate​ chips?

​(b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate​ chips?

​(c) What proportion of bags contains more than 1200 chocolate​ chips?

​(d) What is the percentile rank of a bag that contains 1025 chocolate​ chips?

3, The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1263 and a standard deviation of 118.

​(a) Determine the 26th percentile for the number of chocolate chips in a bag.

​(b) Determine the number of chocolate chips in a bag that make up the middle 97​% of bags.

​(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip​ cookies?

Solutions

Expert Solution


Related Solutions

1) Find the​ z-scores that separate the middle 81​% of the distribution from the area in...
1) Find the​ z-scores that separate the middle 81​% of the distribution from the area in the tails of the standard normal distribution. STEPS ON HOW TO SOLVE IT IN TI83 2) Assume the random variable X is normally distributed with mean u=5050 and standard deviation sigmaσequals=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. ​P(56 less than or equals≤X less than or equals≤67​). HOW TO ENTER IT IN TI...
Find the​ z-scores that separate the middle 31​% of the distribution from the area in the...
Find the​ z-scores that separate the middle 31​% of the distribution from the area in the tails of the standard normal distribution.
Find the z-scores that cut off the middle 75% of a normal distribution.   a) ± 0.68...
Find the z-scores that cut off the middle 75% of a normal distribution.   a) ± 0.68 b) ± 1.04 c) ± 1.15 d) ± 1.50 In a normal distribution with a mean = 10 and standard deviation = 2, what raw score corresponds to a z-score of 1.67? a) 13.34 b) 6.66 c) 12.16 d) 8.28 With a -zscore of -2.0 and a raw score of 35, Lenny is asked by his professor to compute the standard deviation for a...
Find the z-scores that bound the middle 80% of the area under the standard normal curve.
Find the z-scores that bound the middle 80% of the area under the standard normal curve.
What are the z-scores that mark the middle 95% of this distribution? What is the raw...
What are the z-scores that mark the middle 95% of this distribution? What is the raw score associated with the z-score below the mean calculated in the above question? What is the raw score associated with the z-score above the mean calculated in the 1st question? What is the median of this z-score distribution
Finding Z scores for a Standard Normal Distribution 1.) Find the z score that has an...
Finding Z scores for a Standard Normal Distribution 1.) Find the z score that has an area of 0.4321 to its left 2.) Find the z score that has an area of 0.3675 to its right Finding X scores for a Normal Distribution 3.) Find the x score that has an area of 0.8321 to its left. ( mean = 100, SD = 15) 4.) Find the x score that has an area of 0.78 to its right. ( mean...
What two z scores cut off the middle 95% of the normal distribution?
What two z scores cut off the middle 95% of the normal distribution?
Determine the two​ z-scores that divide the area under the standard normal curve into a middle...
Determine the two​ z-scores that divide the area under the standard normal curve into a middle 0.19 area and two outside 0.405 areas.
1) For a two-tailed hypothesis using a z-distribution, find the critical values (z-scores) that will give...
1) For a two-tailed hypothesis using a z-distribution, find the critical values (z-scores) that will give you a critical region with an alpha of the following values: a) alpha = 0.20 b) alpha = 0.10 c) alpha = 0.05 d) alpha = 0.01 e) alpha = 0.001 2) For a one-tailed hypothesis using a z-distribution, find the critical value (z-score) that will give you a critical region with an alpha of the following values: a) alpha = 0.20 b) alpha...
A. Construct a z distribution to find the area above z = 1.75 B. Construct a...
A. Construct a z distribution to find the area above z = 1.75 B. Construct a z distribution to find the area below z = -1.75 C. Construct a normal distribution with a mean of 50 and standard deviation of 10 to find the area above x = 67.5 D. Explain why your answers to A, B, and C are all the same.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT