In order to justify this claim for the Ferengi a sample of 16 coils is taken. For this sample set, the mean warp phase flux is found to be 7

Question

In order to justify this claim for the Ferengi a sample of 16 coils is taken. For this sample set, the mean warp phase flux is found to be 73.7 cochranes with a sample measured standard deviation of 12 cochranes. Is this claim justified at the two-sided 95% or 90% levels? (Derive and define the appropriate values to show true or false for each of the levels. Eg. Is the found mean within the allowed range?)

in progress 0
Nho 3 months 2021-08-21T23:21:33+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-21T23:22:37+00:00

    Answer:

    The responses to these question can be defined as follows:

    Step-by-step explanation:

    n = 16\\\\  \bar{x}= 73.7\\\\\sigma = 12\\\\a = 0.05\ or\  a = 0.10\\\\H_{o} \ : \mu = 68\\\\H_{a} \ : \mu \neq 68\\\\a = 0.05\\\\

    critical values =\pm t0.025,15 = \pm 2.131\\\\

    (n-1) = 15^{\circ}\\\\a = 0.10\\\\

    critical values= \pm t0.05,15 = \pm 1.753\\\\

    (n-1) = 15^{\circ}\\\\

    Testing the statistic values:

    t = \frac{x-\mu_{0}}{ \frac{s}{\sqrt{n}}}\\\\

      = \frac{73.7-68}{(\frac{12}{\sqrt{16}})}\\\\\  = \frac{5.7}{(\frac{12}{4})}\\\\  = \frac{5.7}{(3)}\\\\  = 1.9\\

    Test statistic ta = -1.90\ lies

    The critical values\pm t_{0.05,15} =\pm 1.753

    It is in the region of dismissal. We dismiss the 10% significant null hypothesis.

    t_a = 1.90 \\\\df = 15\\\\a = 0.05\\\\p-value = 076831\\\\

    P – value is greater than the level of significance a= 0.05  

    Null hypothesis we don’t reject. At a 95% level, the claim is justified.

    t_a = 1.90\\\\ df = 15\\\\  a = 0.10\\\\p-value = 076831\\\\

    P – value below the meaning level a = 0.10, we reject the hypothesis null. At a level of 90% the claim is not justified.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )