Question

In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠ 90 , a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 10% significance level. Assume the population is normally distributed.

What are the critical values of t?

-1.341 and 1.341

-1.746 and 1.746

-1.753 and 1.753

-1.645 and 1.645

What is the value of the test statistic, t, rounded to three decimal places?

What is the p-value for this hypothesis test, rounded to four decimal places?

Should you reject or fail to reject the null hypothesis in this test?

Answer #1

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Conduct the stated hypothesis test for μ 1− μ 2. μ 1−
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from normal populations with equal population
variances ( σ 12= σ 22)( σ 12= σ 22).
H0 : μ 1− μ 2=0H0 : μ 1− μ 2=0
H1 : μ 1− μ 2 < 0H1 : μ 1− μ 2 <
0
α =0.025 α =0.025
n1=27n1=27
x̄ 1=8.76 x̄ 1=8.76
s1=1.26s1=1.26
n2=25n2=25
x̄ 2=9.44 x̄ 2=9.44
s2=1.29
a. Calculate the test...

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What are the null and alternative hypotheses? Choose the
correct answer below.
A.H0: μ≠24
Ha: μ=24
B.H0: μ≤24
Ha: μ>24
C.H0: μ=24
Ha: μ≠24
D.H0: μ≥24
Ha: μ than<24...

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Write out null and alternative hypotheses, your critical t-score
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Claim μ ≥ 13.9
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Sample statistics: x̅ = 13, s = 1.3, n = 10
H0:
Ha:
t0:
t-test statistic:
Decision:

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