a. The length of the confidence interval is D: Type an integer or a decimal. Do not round.) p. The confidence interval for u is from to Type integers or decimals. Do not round.) c. Choose the correct graph below. O A. OB. Confidence Interval CI - E 43 OC. O D. Confidence Interval -

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A confidence interval for a population mean has a margin of error of 2.4.
a. Determine the length of the confidence interval.
b. If the sample mean is 46.8, obtain the confidence interval.
c. Construct a graph that illustrates your results.
.....
a. The length of the confidence interval is
(Type an integer or a decimal. Do not round.)
b. The confidence interval for u is from
to
(Type integers or decimals. Do not round.)
c. Choose the correct graph below.
O A.
О В.
Confidence
Interval
43
51
43
O D.
Confidence
Interval-
42
49
42
49
of
of
--
C.
Transcribed Image Text:A confidence interval for a population mean has a margin of error of 2.4. a. Determine the length of the confidence interval. b. If the sample mean is 46.8, obtain the confidence interval. c. Construct a graph that illustrates your results. ..... a. The length of the confidence interval is (Type an integer or a decimal. Do not round.) b. The confidence interval for u is from to (Type integers or decimals. Do not round.) c. Choose the correct graph below. O A. О В. Confidence Interval 43 51 43 O D. Confidence Interval- 42 49 42 49 of of -- C.
Expert Solution
Step 1

a.

The length of the confidence error = 2 × margin of error

                                                        = 2 × 2.4

                                                        = 4.8

 

b.

The confidence interval of population mean μ is given by

CIpopulation mean  = Sample mean ± margin of error

                          = x - E,       x + E

                         = 46.8 - 2.4,     46.8 + 2.4

                         = 44.4,        49.2

Thus the confidence interval of μ is from 44.4 to 49.2.

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