High School Diplomas (Example 8) In a simple random sample of 1500 young Americans, 87 % had earned a high school diploma. a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma? b. Find the margin of error, using a 95 % confidence level, for estimating the percentage of all young Americans who earned a high school diploma. c. Report the 95 % confidence interval for the percentage of all young Americans who earned a high school diploma. d. Suppose that in the past, 80 % of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who earn high school diplomas has increased? Explain.
High School Diplomas (Example 8) In a simple random sample of 1500 young Americans, 87 % had earned a high school diploma. a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma? b. Find the margin of error, using a 95 % confidence level, for estimating the percentage of all young Americans who earned a high school diploma. c. Report the 95 % confidence interval for the percentage of all young Americans who earned a high school diploma. d. Suppose that in the past, 80 % of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who earn high school diplomas has increased? Explain.
Solution Summary: The author calculates the standard error for the estimate of the percentage of all young Americans who earned a high school diploma.
High School Diplomas (Example 8) In a simple random sample of 1500 young Americans,
87
%
had earned a high school diploma.
a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?
b. Find the margin of error, using a
95
%
confidence level, for estimating the percentage of all young Americans who earned a high school diploma.
c. Report the
95
%
confidence interval for the percentage of all young Americans who earned a high school diploma.
d. Suppose that in the past,
80
%
of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who earn high school diplomas has increased? Explain.
I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
This exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.)
Creatine(grams)
L-Glutamine(grams)
BCAAs(grams)
Cost($)
Xtend(SciVation)
0
2.5
7
1.00
Gainz(MP Hardcore)
2
3
6
1.10
Strongevity(Bill Phillips)
2.5
1
0
1.20
Muscle Physique(EAS)
2
2
0
1.00
Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.)
servings of xtend servings of gainz
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