Question

In: Statistics and Probability

(a) Explain the difference between a point estimate and an interval estimate. (b) The starting salaries...

  1. (a) Explain the difference between a point estimate and an interval estimate.
    (b) The starting salaries of a random sample of three students who graduated from North Carolina State University last year with majors in the mathematical sciences are $45,000, $35,000, and $55,000.

    (i) Find a point estimate of the population mean of the starting salaries of all math science graduates at that university last year.
    (ii) The margin of error for a 95% confidence interval is known to be $24,800. Construct that interval.

    (iii) Use this example to explain why a point estimate alone is usually insufficient for statistical inference.

Solutions

Expert Solution


Related Solutions

1. Explain the difference between the point estimate and interval estimate (confidence interval). 2. What is...
1. Explain the difference between the point estimate and interval estimate (confidence interval). 2. What is margin of error? 3. Why must we use the point estimate pˆ (sample proportion) in the calculation of the standard error when producing a confidence interval for p (population proportion)? 4. Assamplesizeincreases,whatistheeffectonthemarginoferror? Why? 5. Asconfidencelevelincreases,whatistheeffectonthemarginof error? Why? 6. Whatdetermineswhethertouseat-distributionoranormaldistribution for finding a confidence interval for μ ? 7. What is the condition to use Chi-squared distribution when estimating the population standard deviation? 8. Describe...
Explain the difference between a confidence interval and a prediction interval?
Explain the difference between a confidence interval and a prediction interval?
1. What is the 95% CI for the difference between the mean starting salaries of those...
1. What is the 95% CI for the difference between the mean starting salaries of those who stay at least three years and those who leave before 3 years?  Can you say that you are 95% sure there is a difference? Case Study: Employee Retention at D&Y Employee Starting Salary On Road Pct State Univ CIS Degree Stayed 3 Years Tenure 1 38900 57% Yes Yes No 11 2 42300 68% Yes Yes No 5 3 39800 75% No Yes No...
Construct and interpret a 90% confidence interval estimate for the difference between the proportion of technology...
Construct and interpret a 90% confidence interval estimate for the difference between the proportion of technology crowd-funding projects and film and video crowd-funding projects that are successful. The researchers performing this study can be [enter percentage] confident that the difference in the population proportion of successful technology crowd-funding projects and successful film and video crowd-funding projects is [contained in, less than lower bound, greater than upper bound, equal to midpoint] the interval from [   ] to [ ]. alpha = .1...
You are trying to estimate the confidence interval for the difference between two population means based...
You are trying to estimate the confidence interval for the difference between two population means based on two independent samples of sizes n1=24 and n2=28. Which option below is NOT relevant for this case? Select one: a. To build the CI we have to obtain the critical value from a t-distribution with appropriate degrees of freedom. b. To build the CI we have to estimate sample means based on each random sample. c. To build the CI we have to...
In constructing 95% confidence interval estimate for the difference between the means of two populations, where...
In constructing 95% confidence interval estimate for the difference between the means of two populations, where the unknown population variances are assumed not to be equal, summary statistics computed from two independent samples are: ?1=45,?̅1=756,?1=18,?2=40,?̅2=762,?2=15 (using 2-sample T menu) a. Calculate the 95% confidence interval for the true difference of two means. b. Base on the interval in the previous question, can one conclude there is a difference in means of two populations? Justify your answer.
Distinguish between point estimate and confidence interval. How do you construct confidence interval when population SD...
Distinguish between point estimate and confidence interval. How do you construct confidence interval when population SD is known and unknown?
A: explain the difference between fixed and variable cost. B: explain the difference between explicit and...
A: explain the difference between fixed and variable cost. B: explain the difference between explicit and implicit cost. C: in the long run in perfect competition economist say that profit =0 but would any firm be involved in that market in the first place?
We use sample data to estimate population parameters and point estimate and interval estimate are two...
We use sample data to estimate population parameters and point estimate and interval estimate are two typical tools of such estimation. Please discuss them answering the following questions. 1) Briefly discuss about how point estimate and confidence interval are different to each other. 2) Discuss about way(s) to secure unbiased and efficient point estimators. 3) Discuss about the effects of confidence level (or, Z-score) and sample size on the width of confidence interval. Is it good or bad to have...
These questions come from MBA 5008 1. What is the difference between a point estimate and...
These questions come from MBA 5008 1. What is the difference between a point estimate and a confidence interval? 2. Is a point estimate alone is adequate? 3. Evaluating the effect of variability measurement (confidence interval) on the resulting estimates.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT