Does Hypnotism Relieve Pain?The table shows the pain levels of patients before and after hypnotism. Pain level is measured on a cm scale. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that the mean difference has increased after hypnotism.(Be sure to subtract in the same direction). Based on the hypotheses, find the following:Test Statistic = 5.000Vo* (Round to three decimal places.)Critical value(s) = 1.895o (Round to three decimal places.)p-value = 0.999X (Round to four decimal places.)Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. Thearrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these valuescorrespond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,to the right, between or left and right of the t-score(s).Shade: Left of a valuev. Click and drag the arrows to adjust the values.-4-1123-1.9Decision: Fail to reject the null hypothesisConclusion: There is not enough evidence to supportless after hypnotism.X the claim that the mean difference is Before (cm) After (cm)Difference (cm)910.76.7410.99.919.95.94.6.63.637.54.56.83.810.28.2What are the correct hypotheses? (Select the correct symbols and values.)Ho: u(d)o 2 vX 0H1: p(d)vX 0Original Claim = H:df = 73.3.

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Description: Does Hypnotism Relieve Pain?The table shows the pain levels of patients before and after hypnotism. Pain level is measured on a cm scale. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that the mean

State the hypotheses. That is, there is no evidence that the mean difference has increased after…

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Does Hypnotism Relieve Pain?

The table shows the pain levels of patients before and after hypnotism. Pain level is measured on a cm scale. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that the mean difference has increased after hypnotism.
(Be sure to subtract in the same direction).

Based on the hypotheses, find the following:
Test Statistic = 5.000
Vo* (Round to three decimal places.)
Critical value(s) = 1.895
o (Round to three decimal places.)
p-value = 0.999
X (Round to four decimal places.)
Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The
arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values
correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,
to the right, between or left and right of the t-score(s).
Shade: Left of a value
v. Click and drag the arrows to adjust the values.
-4
-1
1
2
3
-1.9
Decision: Fail to reject the null hypothesis
Conclusion: There is not enough evidence to support
less after hypnotism.
X the claim that the mean difference is

Before (cm) After (cm)
Difference (cm)
9
10.7
6.7
4
10.9
9.9
1
9.9
5.9
4.
6.6
3.6
3
7.5
4.5
6.8
3.8
10.2
8.2
What are the correct hypotheses? (Select the correct symbols and values.)
Ho: u(d)
o 2 vX 0
H1: p(d)
vX 0
Original Claim = H:
df = 7
3.
3.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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