Given a data set find various probabilities and construct confidence intervals.

The average weekly earnings for women in managerial and professional positions is $685 with a standard deviation of $45. Salaries are normally distributed. Answer the following questions.

a. What is the probability that a woman will have a weekly salary of more than $650?
b. What is the probability that a woman will have a weekly salary of at least $800?
c. For the population, in what range does the middle 95% of weekly salaries lie?
d. If a new sample of 40 women is selected, what is the probability that the mean weekly salary will be between $670 and $705?
e. If new samples of 50 families are selected, what weekly salary to the nearest dollar marks the top 10% of the means of these new samples?
f. If new samples of 100 women are selected, what range of weekly salaries to the nearest dollar marks the 98% confidence interval?

Solution Summary

The following outlines the process of computing various probabilities associated with a particular distribution. Confidence intervals are constructed as well.

...Given that X is normal with mean µ = 73 and standard deviation = 7.8 ... The user can edit the inputs and obtain the complete results for a new set of data. ...

...Data Set in Appendix B includes a list of actual ...interval for population mean is given by S ... Common Data Mean 63.6 Standard Deviation 0.4166 Probability for ...

...give readings below 0° C (denoted by negative numbers) and some give readings above ... Use the given degree of confidence and sample data to construct...

...Given that X is normal with mean µ = 17 and standard ... if the company does not want to give the half ... a) Construct a 95% CI using this data, giving the range in ...

... is to submit the consolidated solution set for the ... 95% Confidence Interval for proportion is given by p (1 ...Data Sample Size 400 Number of Successes 302 ...

... user can edit the inputs and obtain the complete results for a new set of data. ... p. Find the margin of error E that corresponds to the given statistics and ...

... (c) How many modes does the data set have, and ... If you provide the question correctly, I can give the answer ... S S The confidence interval is given by X ...

... The solution gives the details of construction of confidence... the claim that the paired sample data come from a ... of successes x suggested by the given statement. ...

... the complete results for a new set of data. ... σ σ The confidence interval is given by X ...Data Population Standard Deviation 49.78 Sample Mean 223.24 ...

... 2 students are selected at random to give out the ... of the following is the properly rounded mean for the given data? ... If a data set has 9 values and a standard ...