Question

Two sample summary hypothesis test. Consider a random sample of 14 M&M'S. Each weighed 2.5, 2.1, 2.7, 2.3, 3.0, 2.4 and 2.7. And the remaining 7 plain M&M'S weighed 08, 0.9, 0.8, 0.7, 0.9, and 0.6.

Answer #1

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

Group 1 | Group 2 | |

2.529 | 0.783 | mean |

0.298 | 0.117 | std. dev. |

7 | 6 | n |

8 | df | |

1.7452 | difference (Group 1 - Group 2) | |

0.1225 | standard error of difference | |

0 | hypothesized difference | |

14.250 | t | |

5.73E-07 | p-value (two-tailed) |

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that µ1 ≠ µ2.

Regression Confidence Interval
1. For the data below test the hypothesis H0: B1 = 0.5 against
H1: B0 =/= 0.5 Find the value of T0. Choose the closest
value.
x
y
0
4
1
6
2
-1
3
2
4
5
5
6
6
7
7
12
8
5
9
1
10
8
a. -0.5
b. -0.4
c. -0.3
d. -0.2
e. -0.1
f. 0
g. 0.1
h. 0.2
i. 0.3
j. 0.4
k. 0.5
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0.7
38
7.1
1.7
2
-7.5
2.0
39
7.3
1.2
3
-6.4
1.3
40
7.7
1.7
4
-4.4
1.4
41
7.8
2.4
5
-4.1
2.0
42
8.3
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1960
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1961
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1962
0.9
2.0
1963
0.9
2.0
1964
1.2
2.0
1965
1.1
2.3
1966
2.6
3.8
1967
1.9
4.3
1968
3.5
5.2
1969
4.7
6.9
1970
4.5
8.0
1971
3.6
5.7
1972
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3.8
1973
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1974
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9.2
1975
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9.6
1976
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8.3
1977
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1978
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1980
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