Question 1187843: The table below contains the birth weights in grams of 26 African American babies born at BayState Medical Center in Springfield, Massachusetts in 1986. Compute a 95% confidence interval for birth weight.
Data
Weight
2546
2775
2889
2945
2931
2931
3017
3029
3087
3290
3365
3367
3407
3799
3849
1139
1724
1955
2118
2148
2315
2383
2420
2379
2447
2492
Find the point estimate for the birth weights. Round your answer to 2 decimal places.
Determine the value of tc. Round your answer to 5 decimal places.
Find the margin of error for the confidence interval. Round your answer to 1 decimal place.
Construct the confidence interval for birth weights. Enter your answer as an open interval of the form (a,b) and round to the nearest integer.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Here is how you do this;
Put the numbers into the calculator
Use 1-variable statistics which will give you the mean, which is the point estimate you want.
Use s, not sigma, for your sd.
The margin of error is t(0.975, df=25)*s/sqrt(n). The t-value is 2.06, n=26
add and subtract the margin of error to and from the mean for your interval.
Check it by doing a confidence interval on your calculator for the data, which skips all those steps, but it is worth while doing this by hand to see that you get the same result.
|
|
|
