Rory suspects that teachers in his school district have less than 5 yearſ of experience on average. He decided to test Ha :u= 5 versus

Question

Rory suspects that teachers in his school district have less than 5 yearſ of experience on average. He
decided to test Ha :u= 5 versus H : u < 5 using a sample of 25 teachers. His sample mean was 4
years and his sample standard deviation was 2 years.

in progress 0
Raelynn 2 weeks 2021-09-10T12:45:56+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T12:47:08+00:00

    Answer:

    Teachers in his school district have less than 5 yearſ of experience on average is true.

    Step-by-step explanation:

    Sample mean = \bar{x}=4

    Sample standard deviation = s = 2

    We are supposed to to test Ha :u= 5 versus H : u < 5 using a sample of 25 teachers

    H_a:\mu=5\\H_0:\mu < 5

    n = 25

    Since n<30 and population standard deviation is unknown

    So, we will use t test

    Formula : t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}

    t=\frac{4-5}{\frac{2}{\sqrt{25}}}

    t=-2.5

    \alpha = 0.05

    Degree of freedom = n-1 = 25-1 = 24

    Refer the t table

    t_{df,\frac{\alpha}{2}}=t_{24,\frac{0.05}{2}}=2.064

    t critical > t calculated

    So, We are failed to reject null hypothesis

    So,  teachers in his school district have less than 5 yearſ of experience on average is true.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )