Question

# Foot-Length (Raw Data, Software Required): It has been claimed that, on average, right-handed people have a...

Foot-Length (Raw Data, Software Required):
It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.01 significance level. You may assume the sample of differences comes from a normally distributed population.

 Person Left Foot (x) Right Foot (y) 1 273 273 2 269 268 3 260 262 4 256 255 5 262 259 6 274 274 7 273 271 8 259 257 9 274 273 10 256 254

You should be able copy and paste the data directly into your software program.

(a) The claim is that the mean difference (x - y) is positive (μd > 0). What type of test is this?

This is a right-tailed test.This is a left-tailed test.    This is a two-tailed test.

(b) What is the test statistic? Round your answer to 2 decimal places.
t

d

=

(c) What is the P-value of the test statistic? Round to 4 decimal places.
P-value =

(d) What is the conclusion regarding the null hypothesis?

reject H0fail to reject H0

(e) Choose the appropriate concluding statement.

The data supports the claim that, on average, right-handed people have a left foot that is larger than the right foot.There is not enough data to support the claim that, on average, right-handed people have a left foot that is larger than the right foot.    We reject the claim that, on average, right-handed people have a left foot that is larger than the right foot.We have proven that, on average, right-handed people have a left foot that is larger than the right foot.

The statistical software output for this problem is:

Hence,

a) This is a right-tailed test.

b) Test statistic = 2.24

c) p - Value = 0.0261

d) Fail to reject Ho

e) There is not enough data to support the claim that, on average, right-handed people have a left foot that is larger than the right foot.

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