# stat 3Q’s

stat q1

Consider the flowing test of hypotheses.

H o: μ >=2,150

H A: μ<2,150

α=0.05

If the true population mean is 2, 145, determine value of beta. Assume a normal population with standard deviation of 99 and sample size of 81

stat q2

in 2004, a sample of 250 household in NY showed that 62 paid their monthly phone bills by debit card. in 2009 a sample of 350 household in the same city showed that 110 paid their monthly phone bill by debit card. Based on the sample data, can we conclude that there is difference between the population proportion of 2004 household and 2006 household in the same city?

a. determine the sample size are large enough.

b. conduct the appropriate hypothesis test. Report with p-value, would null hypothesis be rejected?

c. calculated pooled estimated for overall.

stat q5

Overweight people often become desperate because they different diets without success. Sara, a nutritionist wishes to test the efficiency of one –month diet program being undertaken by 7 candidates .she recorded their weights at the start and end of the program .the result is shown as bellow

S.NO |
Before |
After |

1 |
68 |
65.5 |

2 |
78 |
74.2 |

3 |
95 |
90.1 |

4 |
85 |
80.3 |

5 |
69 |
66.3 |

6 |
64 |
61.9 |

7 |
73 |
70.1 |

At α=0.02 to test the efficiency of the diet program. Assume normal distribution for the paired difference