Question

To estimate the mean score ? of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.2 . You want your sample mean ?¯ to estimate ? with an error of no more than 0.8 point in either direction.

(a) What standard deviation must ?¯ have so that 99.7% of all samples give an ?¯ within 0.8 point of ?μ? Use the 68–95–99.7 rule. (Enter your answer rounded to four decimal places.)

standard deviation of ?¯=

(b) How large an SRS do you need in order to reduce the standard deviation of ?¯to the value you found? (Enter your answer rounded to the nearest whole number.)

SRS size =

Answer #1

a) According to empirical rule, 99.7% of the observations lies within 3 standard deviations of the mean.

**therefore we have here:**

**Therefore 0.2667 is the required standard deviation
here.**

b) The standard deviation for population is given to be 6.2 here. Therefore, we have here:

Therefore, the sample size here is computed as:

**Therefore 541 is the required sample size
here.**

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Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ?μ of those who took the MCAT on your campus, you will
obtain the scores of an SRS of students. The scores follow a Normal
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standard deviation is 10.8 . Suppose that, unknown to you, the mean
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Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ?μ of those who took the MCAT on your campus, you will
obtain the scores of an SRS of students. The scores follow a Normal
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standard deviation is 10.4. Suppose that, unknown to you, the mean
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Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ?μ of those who took the MCAT on your campus, you will
obtain the scores of an SRS of students. The scores follow a Normal
distribution, and from published information you know that the
standard deviation is 10.8 . Suppose that, unknown to you, the mean
score of those taking the MCAT on your campus is 500....

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ? of those who took the MCAT on your campus, you will
obtain the scores of an SRS of students. The scores follow a Normal
distribution, and from published information you know that the
standard deviation is 10.4 . Suppose that, unknown to you, the mean
score of those taking the MCAT on your campus is 510...

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ? of those who took the MCAT on your campus, you will
obtain the scores of an SRS of students. The scores follow a Normal
distribution, and from published information you know that the
standard deviation is 6.5 . Suppose that (unknown to you) the mean
score of those taking the MCAT on your campus is 24...

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ? of those who took the MCAT on your campus, you will
obtain the scores of an SRS of students. The scores follow a Normal
distribution, and from published information you know that the
standard deviation is 6.6 . Suppose that (unknown to you) the mean
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students to take the Medical College Admission Test (MCAT). To
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scores follow a Normal distribution, and from published information
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MCAT scores?
(Use software or your calculator )
Q1Q1 (±±0.001) =
Median (±±0.001) =
Q3Q3 (±±0.001) =

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