A random sample of 65 bags of white cheddar popcorn​ weighed, on​ average, 5.74 ounces with a standard deviation of 0.26 ounce. Test the hyp

Question

A random sample of 65 bags of white cheddar popcorn​ weighed, on​ average, 5.74 ounces with a standard deviation of 0.26 ounce. Test the hypothesis that muequals5.8 ounces against the alternative​ hypothesis, muless than5.8 ​ounces, at the 0.10 level of significance.

in progress 0
Amara 2 weeks 2021-10-10T20:52:45+00:00 1 Answer 0

Answers ( )

    0
    2021-10-10T20:54:12+00:00

    Answer:

    We failed to accept null hypothesis

    Step-by-step explanation:

    x= 5.74

    Standard deviation = 0.26

    H_0:\mu = 5.8\\H_a:\mu < 5.8

    n = 65

    We will use z test

    Formula : z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

    Substitute the values :

    z=\frac{5.74-5.8}{\frac{0.26}{\sqrt{65}}}

    z=-1.86

    Refer the z table for p value

    p value = 0.0314

    α = 0.10

    p value < α

    So, we failed to accept null hypothesis

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )