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.

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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.
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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