The compressive strength of concrete is being tested by an engineer who tested 12 specimens and obtains the following data: 2216 2237 2249 2204 2225 2301 2281 2263 2318 2237 2281 2295 Construct a 99% two-sided confidence interval on the mean strength. Construct a 99% upper confidence bound on the mean strength. Compare this bound with the upper bound of the two-sided confidence interval. Include your solutions.
The compressive strength of concrete is being tested by an engineer who tested 12 specimens and obtains the following data: 2216 2237 2249 2204 2225 2301 2281 2263 2318 2237 2281 2295 Construct a 99% two-sided confidence interval on the mean strength. Construct a 99% upper confidence bound on the mean strength. Compare this bound with the upper bound of the two-sided confidence interval. Include your solutions.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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![The compressive strength of concrete is being tested by an engineer who tested 12 specimens and
obtains the following data:
2216
2237
2249
2204
2225
2301
2281
2263
2318
2237
2281
2295
Construct a 99% two-sided confidence interval on the mean strength. Construct a 99% upper
confidence bound on the mean strength. Compare this bound with the upper bound of the two-sided
confidence interval. Include your solutions.
a. Two-sided CI: 2237.3 su S 2282.5. Upper Bound CI: µ <2240.0. The upper bound CI
has lower value than the upper bound of the Two-sided CI.
O b. Two-sided CI: 2226.2 < µ < 2291.6. Lower Bound CI: 2230.3 < µ. The lower bound CI
has greater value than the lower bound of the Two-sided CI.
OC. Two-sided CI: 2226.2 < µ S 2291.6. Upper Bound CI: µ < 2287.5. The upper bound CI
has lower value than the upper bound of the Two-sided CI.
O d. Two-sided CI: 2237.3 < µ S 2282.5. Upper Bound CI: µ < 2287.5. The upper bound CI
has lower value than the upper bound of the Two-sided CI.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F753bc901-6e4f-4c4b-9168-9ca047ef6ade%2Ffea2ae81-05ec-42c5-bb2c-9b0af9bf7d15%2Flnh965v_processed.png&w=3840&q=75)
Transcribed Image Text:The compressive strength of concrete is being tested by an engineer who tested 12 specimens and
obtains the following data:
2216
2237
2249
2204
2225
2301
2281
2263
2318
2237
2281
2295
Construct a 99% two-sided confidence interval on the mean strength. Construct a 99% upper
confidence bound on the mean strength. Compare this bound with the upper bound of the two-sided
confidence interval. Include your solutions.
a. Two-sided CI: 2237.3 su S 2282.5. Upper Bound CI: µ <2240.0. The upper bound CI
has lower value than the upper bound of the Two-sided CI.
O b. Two-sided CI: 2226.2 < µ < 2291.6. Lower Bound CI: 2230.3 < µ. The lower bound CI
has greater value than the lower bound of the Two-sided CI.
OC. Two-sided CI: 2226.2 < µ S 2291.6. Upper Bound CI: µ < 2287.5. The upper bound CI
has lower value than the upper bound of the Two-sided CI.
O d. Two-sided CI: 2237.3 < µ S 2282.5. Upper Bound CI: µ < 2287.5. The upper bound CI
has lower value than the upper bound of the Two-sided CI.
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