An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 6

Question

An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4 Can you conclude that the mean conversion is greater than 30? Compute the appropriate test statistic and find the P-value. The appropriate test statistic and the P-value are and , respectively. Round the test statistic to two decimal places and the P-value to four decimal places. We (Click to select) conclude that the mean conversion is greater than 30.]

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Phúc Điền 7 months 2021-07-27T14:29:38+00:00 1 Answers 5 views 0

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    2021-07-27T14:30:50+00:00

    Answer:

    Test statistic = 3.21;

    Pvalue = 0.0019;

    Reject H0 and conclude that the mean conversion rate is greater than 30.

    Step-by-step explanation:

    Hypothesis :

    NULL ; H0 : μ = 30

    ALTERNATIVE ; H0 : μ > 30

    Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4

    Sample Mean, xbar = 43.71 (using calculator)

    Sample standard deviation, s = 20.95 ( calculator)

    Sample size, n = 24

    Take, α = 0.05

    Test statistic :

    (xbar – μ) ÷ (s/√n)

    (43.71 – 30) ÷ (20.95/√24)

    13.71 / 4.2764008

    Test statistic = 3.21

    Degree of freedom, df = n – 1 = 24 – 1 = 23

    The Pvalue, using a Pvalue calculator : (3.21, 23)

    Pvalue = 0.001942

    Pvalue = 0.0019 ( 4 decimal places).

    Decison :

    Reject H0 ; if Pvalue ≤ α

    Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.

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