Question

In: Statistics and Probability

Describe the point estimate, normal probability distribution, and standard normal probability distribution in details, in 4 paragraphs.

Empolyee age
1 25
2 32
3 26
4 40
5 50
6 54
7 22
8 23
age
   
Mean 34
Standard Error 4.444097209
Median 29
Mode #N/A
Standard Deviation 12.56980509
Sample Variance 158
Kurtosis -1.152221485
Skewness 0.767648041
Range 32
Minimum 22
Maximum 54
Sum 272
Count 8
Confidence Level(95.0%) 10.50862004

Describe the point estimate, normal probability distribution, and standard normal probability distribution in details, in 4 paragraphs. 

Solutions

Expert Solution

 

A point estimate of a populace parameter is a solitary esteem used to appraise the populace parameter. For instance, the example mean x is a point gauge of the populace mean μ.As per given data,the point estimate of the employee ages can be determined by adding all the ages of the employees and divided with number of employees.So the answer is 34

The ordinary distribution,also known as the Gaussian distribution,is the likelihood dissemination that plots the majority of its qualities in a symmetrical fashion,and the majority of the outcomes are fit around the probabilities mean.Values are similarly prone to plot either above or underneath the mean.Grouping happens at qualities near the mean and afterward tails off symmetrically far from the mean.

   As per given data,the normal probability distribution of employee ages can be determined if we know the mean which is 34,standard deviation which is 4.444097209 and π value is approximately 3.14159.Substitute these data in the normal probability distribution function i.e; after substituting those values in this equation,the normal probability distribution of employee ages can be determined.

     The standard typical dissemination is an exceptional instance of ordinary distribution.It is the conveyance that happens when an ordinary irregular variable has a mean of zero and a standard deviation of one. Each typical variable can be changed to standard ordinary variable by putting in the typical likelihood dispersion. As per given data mean is 34 and the standard deviation which is 4.444097209. The standard normal probability distribution function formula is Substituting these values in these equation the standard normal probability distribution function is determined for the ages of the employees.


Related Solutions

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability...
In a normal distribution with mean = 27 and standard deviation = 4 Find the probability for a.) 23 < x < 31 b.) 27<x<35 c.) 25 < x < 30 d.) x>26 e.) x < 24
to find a probability of values in a tail of the normal distribution using a standard...
to find a probability of values in a tail of the normal distribution using a standard normal table
The mean of a normal probability distribution is 460; the standard deviation is 6. a. About...
The mean of a normal probability distribution is 460; the standard deviation is 6. a. About 68% of the observations lie between what two values? Lower Value            Upper Value            b. About 95% of the observations lie between what two values? Lower Value            Upper Value            c. Nearly all of the observations lie between what two values? Lower Value            Upper Value           
Find the probability for Z>-0.97 given that Z is Standard Normal Distribution?
Find the probability for Z>-0.97 given that Z is Standard Normal Distribution?
Find the probability for Z<1.14 given that Z is Standard Normal Distribution?
Find the probability for Z<1.14 given that Z is Standard Normal Distribution?
The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ...
The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. μ ± 3σ of the observations lie between what two values? Lower Value Upper Value
For a standard normal distribution, what is the probability that z is greater than 1.65
For a standard normal distribution, what is the probability that z is greater than 1.65
1. Following a normal probability distribution with a mean of 200 and a standard deviation of...
1. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 95 percent  of the population will be between: 200 and 220 180 and 220 180 and 200 less than 180 3. A family of four spends an average of $1000 per month with a standard deviation of $50.  This spending follows a normal continuous distribution.   What is the probability that a family will spend more than $1050 in a month?  (answer to 3 decimal places) 5....
(1 point) Use the Normal Approximation to the Binomial Distribution to compute the probability of passing...
(1 point) Use the Normal Approximation to the Binomial Distribution to compute the probability of passing a true/false test of 40 questions if the minimum passing grade is 90% and all responses are random guesses.
Use a normal distribution to estimate the probability of more than 55 girls being born in...
Use a normal distribution to estimate the probability of more than 55 girls being born in 100 births. Assume that the probability of a girl being born in an individual birth is 50%.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT