Question

**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 0.05 significance level. You may assume the sample of
differences comes from a normally distributed population.

Person | Left
Foot (x) |
Right
Foot (y) |

1 | 268 | 268 |

2 | 265 | 263 |

3 | 255 | 257 |

4 | 251 | 250 |

5 | 257 | 254 |

6 | 269 | 269 |

7 | 269 | 266 |

8 | 254 | 252 |

9 | 269 | 268 |

10 | 251 | 249 |

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 (*μ*_{d} > 0).
What type of test is this?

This is a right-tailed test.

This is a two-tailed test.

This is a left-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 *H*_{0}

fail to reject
*H*_{0}

(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.

Answer #1

The following table is obtained:

Sample 1 | Sample 2 | Difference = Sample 1 - Sample 2 | |

268 | 268 | 0 | |

265 | 263 | 2 | |

255 | 257 | -2 | |

251 | 250 | 1 | |

257 | 254 | 3 | |

269 | 269 | 0 | |

269 | 266 | 3 | |

254 | 252 | 2 | |

269 | 268 | 1 | |

251 | 249 | 2 | |

Average | 260.8 | 259.6 | 1.2 |

St. Dev. | 7.871 | 8.044 | 1.549 |

n | 10 | 10 | 10 |

( a )

This is a right-tailed test.

( b )

*Test
Statistics*

t = 2.45

( c )

With t = 2.45 , df = 9 ( right tailed )

we get p value = 0.0184

p value = 0.0184

( d )

P value < l..o .s

0.0184 < 0.05

so **reject H0**

**( e )**

**Conclusion :**

The data supports the claim that, on average, right-handed people have a left foot that is larger than the right foot.

Foot-Length: 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)
difference (d = x − y)...

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...

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
270...

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
274...

Foot-Length: 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 0.05
significance level. You may assume the sample of differences comes
from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
difference (d = x − y)...

Foot-Length: 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)
difference (d = x − y)...

Foot-Length: 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 0.05
significance level. You may assume the sample of differences comes
from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
difference (d = x − y)...

Foot-Length: 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 0.05
significance level. You may assume the sample of differences comes
from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
difference (d = x − y)...

Sibling IQ Scores (Raw Data, Software
Required):
There have been numerous studies involving the
correlation and differences in IQ's among siblings. Here we
consider a small example of such a study. We will test the claim
that, on average, older siblings have a higher IQ than their
younger sibling. The results are depicted for a sample of 10
siblings in the table below. Test the claim at the 0.05
significance level. You may assume the sample of differences comes
from...

Sibling IQ Scores (Raw Data, Software
Required):
There have been numerous studies involving the correlation and
differences in IQ's among siblings. Here we consider a small
example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.05 significance level. You may
assume the sample of differences comes from...

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