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Feliz [49]
3 years ago
7

Construct the 95% confidence interval estimate of the mean VAS score for patients given the magnet treatment. Find the Standard

error and critical value. construct the 95% confidence interval estimate of the mean VAS score for patients given the sham treatment. You may do the shortcut.
Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

(3.442 ; 6.558)

Step-by-step explanation:

Given :

Mean score after patient is given the magnet treatment :

Mean score, xbar = 5

Standard deviation, s = 2.4

Sample size, n = 20

The confidence interval :

Mean ± margin of error

Margin of Error = Tcritical * standard error

The critical value at 95%, df = 20 - 1 = 19

Tcritical = 2.093 (T-student distribution)

The standard error = s/√n = 2.4 / √20 = 0.5367

The margin of error = 2.903 * 0.5367 = 1.558

The confidence interval :

Xbar ± Margin of error

5 ± 1.558

(3.442 ; 6.558)

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Answer:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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