stat400 homework 7.1-2 key

1
homework #12 – section 7.1 #4 parts a, b and c – section 7.2 #20 4. a. ( ) ( ) 5 . 59 , 1 . 57 18 . 1 3 . 58 25 3 96 . 1 3 . 58 = ± = ± b. ( ) ( ) 9 . 58 , 7 . 57 59 . 3 . 58 100 3 96 . 1 3 . 58 = ± = ± c. ( ) ( ) 1 . 59 , 5 . 57 77 . 3 . 58 100 3 58 . 2 3 . 58 = ± = ± 20. Because the sample size is so large, the simpler formula (7.11) for the confidence interval for p is sufficient. Use of the more complicated version would give the same result when rounded off to three decimal places. ( ) ( ) ( ) 163 ,. 137 . 013 . 15 . 4722 85 . 15 . 58 . 2 15 . = ± = ±

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Stat400 Homework 7.1-2 Key

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  • homework #12 section 7.1 #4 parts a, b and c section 7.2 #20

    4.

    a. ( ) ( )5.59,1.5718.13.58

    25396.13.58 ==

    b.( ) ( )9.58,7.5759.3.58

    100396.13.58 ==

    c. ( ) ( )1.59,5.5777.3.58

    100358.23.58 ==

    20. Because the sample size is so large, the simpler formula (7.11) for the confidence interval for p is sufficient. Use of the more complicated version would give the same result when rounded off to three decimal places.

    ( )( ) ( )163,.137.013.15.4722

    85.15.58.215. ==