Hypothesis Test - 2 - Practice questions and answers PDF

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Hypothesis Testing: σ UnknownPractice 1 Consider the following hypothesis testing: H 0 : μ = 18 HA : μ ≠ 18 A sample of 48 provided a sample mean of 17 and a sample standard deviation is 4. N=48 ́ x = 17 s =4. a. Compute the value of the test statistic.t = s ́ x /−√ μn =4 17 −/√ 1848 =−1.b. Use the ...

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Hypothesis Testing:

σ

Unknown

Practice 1 Consider the following hypothesis testing: H 0 : μ=18 H A : μ ≠18 A sample of 48 provided a sample mean of 17 and a sample standard deviation is 4.5. N=48

´x =17

s=4.5

a. Compute the value of the test statistic. ´x −μ 17−18 = t= =−1.54 s / √n 4.5/ √ 48 b. Use the t-distribution table to compute the range for the p-value. T=1.54 0.05 ≤p-value≤0.1 c. At α=0.05 , what is your conclusion? P-value>sign level, do not reject Ho d. What is the rejection rule using critical value? What is your conclusion? Df=47, T(0.025)=2.021 CV>SV, do not reject Ho

Practice 2 Consider the following hypothesis testing: H 0 : μ ≥ 45 H A : μsign level, do not reject Ho For (b): T=1.2 , 0.10 ≤p-value≤0.25 PV>sign level, do not reject Ho

ii.

What is the rejection rule using critical value? What is your conclusion? For (a):

Df=35, T(0.01)=2.44 CV>SV, do not reject Ho For (b): Df=35, T(0.01)=2.44 CV>SV, do not reject Ho...