Question

According to the Empirical rule, sometimes called the Normal rule, for a symmetrical, bell shaped distribution...

According to the Empirical rule, sometimes called the Normal rule, for a symmetrical, bell shaped distribution of data, we will find that approximately what percent of observations are contained within plus and minus one standard deviation of the mean A. 50 B. 68 C. 75 D. 95

Homework Answers

Answer #1

B)68

Explanation:

In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two(+1 & -1),four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean, respectively.

In mathematical notation, these facts can be expressed as follows, where X is an observation from a normally distributed random variable, is the mean of the distribution, and is its standard deviation,

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
Suppose the nightly rate for a hotel is thought to be bell-shaped and symmetrical with a...
Suppose the nightly rate for a hotel is thought to be bell-shaped and symmetrical with a mean of $72 and a standard deviation of $24. According to the Empirical Rule, what is the percentage of hotels with rates between $48 and $96? approximately 68 at least 75 approximately 99.7 at least 89 approximately 95
The quantitative data set under consideration has roughly a​ bell-shaped distribution. Apply the empirical rule to...
The quantitative data set under consideration has roughly a​ bell-shaped distribution. Apply the empirical rule to answer the following question. A quantitative data set of size 80 has mean 50 and standard deviation 5. Approximately how many observations lie between 45 and 55​? Approximately nothing observations lie between 45 and 55. ​(Round to the nearest whole number as​ needed.)
Another type of distribution is the normal curve or sometimes called the bell curve. If a...
Another type of distribution is the normal curve or sometimes called the bell curve. If a distribution has a normal curve, it is symmetrical with most of the probabilities located near the mean. Many test scores are based on a bell curve. An example of a bell curve is population IQ. The mean of the population is 100 with a standard deviation of 15. For this week's discussion, do a little research and share another real life example of a...
the quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to...
the quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following: A qunatitative data set of size 70 has mean 40 and standard deviation 2. Approximately how many observations lie between 34 and 46?
The distribution of weights of a sample of 500 toddlers is symmetric and bell-shaped. According to...
The distribution of weights of a sample of 500 toddlers is symmetric and bell-shaped. According to the Empirical Rule, what percent of the weights will lie between plus or minus three sigmas (standard deviations) from the mean? Group of answer choices 68% 34% 99.7% 95% None of these If a sample of toddlers has an estimated mean weight of 52 pounds and a standard deviation of 4 pounds, then 95% of the toddlers have weights between which two values? If...
If a variable has a distribution that is? bell-shaped with mean 23 and standard deviation 3?,...
If a variable has a distribution that is? bell-shaped with mean 23 and standard deviation 3?, then according to the Empirical? Rule, what percent of the data will lie between 14 and 32??
The weights of loads hauled by a trucking company approximately follow a bell-shaped (normal) frequency curve...
The weights of loads hauled by a trucking company approximately follow a bell-shaped (normal) frequency curve with a mean of 15 thousand pounds and a standard deviation of 4 thousand pounds. Note that: 15 ± (1)(4) ==> 11 to 19; 15 ± (2)(4) ==> 7 to 23; 15 ± (3)(4) ==> 3 to 27 . According to the empirical rule, approximately __________ percent of loads weigh between 3 thousand pounds and 27 thousand pounds. Group of answer choices a)90 b)68...
According to the empirical rule, approximately what percentage of the area under a normal distribution lies...
According to the empirical rule, approximately what percentage of the area under a normal distribution lies within 1 standard deviation? % Within 2 standard deviations? % Within 3 standard deviations? %
A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100...
A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100 and a standard deviation of σ=18. For samples of size n=36 consider the sampling distribution of the sample mean ("xbar"). Note that 18 36=3 and that 100±(1)(3)⟹97 to 103 100±(2)(3)⟹94 to 106 100±(3)(3)⟹91 to 109 According to the empirical rule, approximately _____ percent of samples of size 36 will produce a sample mean between 97 and 103. Group of answer choices 90 95 99.7...
The delivery time for a pizza company is approximately bell-shaped with a mean of 28.6 minutes...
The delivery time for a pizza company is approximately bell-shaped with a mean of 28.6 minutes with a standard deviation of 4.2 minutes. According to the Empirical Rule, what percent of deliveries should occur within 16 and 41.2 minutes?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT