Question

In: Statistics and Probability

For the shape of the distribution of the sample proportion to be approximately? normal, it is required that

Fill in the blanks to complete the following statements.

Bold left parenthesis a right parenthesis(a)

For the shape of the distribution of the sample proportion to be approximately? normal, it is required that

?np(1minus??p)greater than or equals??______.

Bold left parenthesis b right parenthesis(b)

Suppose the proportion of a population that has a certain characteristic is

0.9

The mean of the sampling distribution of

ModifyingAbove p with caretp

from this population is

mu Subscript ModifyingAbove p with caret?pequals=?______.

?(This is a reading assessment question. Be certain of your answer because you only get one attempt on this? question.)

Bold left parenthesis a right parenthesis(a)

For the shape of the distribution of the sample proportion to be approximately? normal, it is required that

?np(1minus??p)greater than or equals?nothing.

?(Type an integer or a? decimal.)

Solutions

Expert Solution

Bold left parenthesis a right parenthesis(a)

For the shape of the distribution of the sample proportion to be approximately normal, it is required that

np(1-p) > 10.

Bold left parenthesis b right parenthesis(b)

Suppose the proportion of a population that has a certain characteristic is

0.9

The mean of the sampling distribution of

from this population is

.


Related Solutions

Part 1. The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean...
Part 1. The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 17. According to the standard deviation rule, only % of people have an IQ over 117. Part 2. The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15. According to the standard deviation rule, % of people have an IQ between 70 and 130.
1. The sampling distribution of the sample mean is approximately normal for all sample sizes. a....
1. The sampling distribution of the sample mean is approximately normal for all sample sizes. a. true b. false 2. If all possible samples of the same size have the same chance of being selected, these samples are said to be random samples. a. true b. false 3. The population of sample means of every possible sample size (n) is known as the ______ distribution of the mean. 4. A sample size of 49 drawn from a population with a...
Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or...
Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or business or any example of Normal Distribution. Prove that the variable has the characteristics of a Normal Distribution. Recall that the variable must be continuous and the distribution must be symmetrical (or approximately symmetrical). To prove that the distribution is approximately symmetrical select 20 random observations (measurements/data) of the variable and run a Descriptive Statistics using your calculator or Excel. Just copy the output...
In which situation may the sample proportion safely be assumed to follow a normal distribution? Select...
In which situation may the sample proportion safely be assumed to follow a normal distribution? Select one: a. 8 successes in a sample of 72 items. b. 5 successes in a sample of 20 items. c. 9 successes in a sample of 200 items. d. 12 successes in a sample of 500 items.
The shape of the distribution of the time required to get an oil change at a...
The shape of the distribution of the time required to get an oil change at a 20?-minute ?oil-change facility is unknown.? However, records indicate that the mean time is 21.1 minutes?, and the standard deviation is 4.2 minutes. Suppose the manager agrees to pay each employee a? $50 bonus if they meet a certain goal. On a typical? Saturday, the? oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random? sample, there...
the shape of the distribution of the time required to get an oil change in a...
the shape of the distribution of the time required to get an oil change in a 15 minute oil change facility is on now. However, records indicate them me Tom is 16.8 minutes, and the center deviation is 4.4 minutes. a.) To compute probabilities regarding the sample mean using the normal model what size would be required? b.) what is the probability that a random sample of n equals 40 oil changes results in a sample mean time less than...
The shape of the distribution of the time required to get an oil change at a...
The shape of the distribution of the time required to get an oil change at a 10​-minute oil-change facility is unknown. However, records indicate that the mean time is 11.8 minutes​, and the standard deviation is 4.9 minutes. Complete parts ​(a) through (c). ​(a) To compute probabilities regarding the sample mean using the normal​ model, what size sample would be​ required? A. The sample size needs to be less than or equal to 30. B. Any sample size could be...
The shape of the distribution of the time required to get an oil change at a...
The shape of the distribution of the time required to get an oil change at a 15​-minute ​oil-change facility is unknown.​ However, records indicate that the mean time is 16.8 minutes​, and the standard deviation is 4.3 minutes. Complete parts​ (a) through​ (c) below. To compute probabilities regarding the sample mean using the normal​ model, what size sample would be​ required? Choose the required sample size below. A. Any sample size could be used. B. The normal model cannot be...
The shape of the distribution of the time required to get an oil change at a...
The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown.​ However, records indicate that the mean time is 21.1 minutes​, and the standard deviation is 4.9 minutes. Complete parts ​(a) through (c). ​(a) To compute probabilities regarding the sample mean using the normal​ model, what size sample would be​ required? A. The normal model cannot be used if the shape of the distribution is unknown. B. The sample size...
The shape of the distribution of the time required to get an oil change at a...
The shape of the distribution of the time required to get an oil change at a 20​-minute ​oil-change facility is unknown.​ However, records indicate that the mean time is 21.4 minutes​, and the standard deviation is 4.5 minutes. ​(c) Suppose the manager agrees to pay each employee a​ $50 bonus if they meet a certain goal. On a typical​ Saturday, the​ oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random​ sample,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT