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## The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed

A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal.

Proctored | Nonproctored | |

mu | u1 | u2 |

n | 35 | 31 |

X_bar | 76.94 | 83.52 |

s | 10.87 | 21.94 |

a. Test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses?

What are the null and alternative hypothesis?

The test statistic, t is ?

The P-value

state the conclusion for the test.