Question

1 20.8 1 20.4 1 25.1 1 27.4 1 15.4 1 15.3 1 13.9 2 16.3 2 14.5 2 10.4 2 12.2 2 12.5 2 9.5 2 15.3 3 16.8 3 20.9 3 28.4 3 22.5 3 17.5 3 14.9 3 22.4 3 17.5 3 25.4 3 22.4 4 16.7 4 14.5 4 13.7 4 15.4 4 12.4 4 16 4 7.5 4 12.9 4 18.310.

What was the margin of error for the confidence interval for gasoline mileage of make 2?

What is the value of the t test statistic for testing the hypothesis that makes 2 and 3 do not differ in mileage?

Answer #1

Excel output:

1 | 20.8 | 2 | 16.3 | 3 | 16.8 | 4 | 16.7 |

1 | 20.4 | 2 | 14.5 | 3 | 20.9 | 4 | 14.5 |

1 | 25.1 | 2 | 10.4 | 3 | 28.4 | 4 | 13.7 |

1 | 27.4 | 2 | 12.2 | 3 | 22.5 | 4 | 15.4 |

1 | 15.4 | 2 | 12.5 | 3 | 17.5 | 4 | 12.4 |

1 | 15.3 | 2 | 9.5 | 3 | 14.9 | 4 | 16 |

1 | 13.9 | 2 | 15.3 | 3 | 22.4 | 4 | 7.5 |

3 | 17.5 | 4 | 12.9 | ||||

3 | 25.4 | 4 | 18.31 | ||||

3 | 22.4 | ||||||

Mean 2 | AVERAGE(D1:D7) | 12.95714 | Mean 3 | 20.87 | |||

sd 2 | STDEV(D1:D7) | 2.527091 | sd 3 | 4.209526 |

1.

Margin of error for the 95% confidence interval for gasoline mileage is,

2.

Hypothesis:

Test statistic,

where,

1
20.8
1
20.4
1
25.1
1
27.4
1
15.4
1
15.3
1
13.9
2
16.3
2
14.5
2
10.4
2
12.2
2
12.5
2
9.5
2
15.3
3
16.8
3
20.9
3
28.4
3
22.5
3
17.5
3
14.9
3
22.4
3
17.5
3
25.4
3
22.4
4
16.7
4
14.5
4
13.7
4
15.4
4
12.4
4
16
4
7.5
4
12.9
4
18.3
10. What was the margin of error for the confidence interval
for gasoline mileage...

1
20.8
1
20.4
1
25.1
1
27.4
1
15.4
1
15.3
1
13.9
2
16.3
2
14.5
2
10.4
2
12.2
2
12.5
2
9.5
2
15.3
3
16.8
3
20.9
3
28.4
3
22.5
3
17.5
3
14.9
3
22.4
3
17.5
3
25.4
3
22.4
4
16.7
4
14.5
4
13.7
4
15.4
4
12.4
4
16
4
7.5
4
12.9
4
18.3
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9.5
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11.1
11.4
11.6
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12.3
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12.8
12.9
13.0
13.0
13.5
13.7
13.9
14.1
14.3
14.4
14.7
14.8
14.8
14.9
14.9
15.0
15.1
15.3
15.4
15.7
16.3
16.5
16.6
16.7
16.8
17.1
17.2
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18.3
18.5
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19.1
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20.2
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Nicotine
CO
Brand
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Alpine
Benson & Hedges
Bull Durham
Camel Lights
Carlton
Chesterfield
Golden Lights
Kent
Kool
L&M
Lark Lights
Marlboro
Merit
14.1
16.0
29.8
8.0
4.1
15.0
8.8
12.4
16.6
14.9
13.7
15.1
7.8
0.86
1.06
2.03
0.67
0.40
1.04...

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37.9 49.1 53 47.7 13.8 38.3 49.2 50.6 49.6 52.3 19.8 12.8 46.9 35.3
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