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## Data on the weights of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right.

Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Use a 0.01 significance level for both parts. Assume that the standard deviations of both are equal.

Diet | Regular | |

mu | mu1 | mu2 |

n | 22 | 22 |

X_bar | 0.78025lb | 0.80627lb |

s | 0.00444lb | 0.00752lb |

a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.

What are the null and the alternative hypothesis?

The test statistic, t, is ?

The p-value is?