The average diameter of ball bearings of a certain type is supposed to be 0.5 inch. What conclusion is appropriate when testing H0: μ = 0.5 versus Ha: μ ≠ 0.5 inch in each of the following situations? (a) n = 11, t = 1.8, α = 0.05 reject H0 fail to reject H0 (b) n = 11, t = −1.8, α = 0.05 reject H0 fail to reject H0 (c) n = 26, t = −2.7, α = 0.01 reject H0 fail to reject H0 (d) n = 26, t = −3.6 reject H0 at any reasonable significance level fail to reject H0 at any reasonable significance level

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.EA: Extended Application Flow Systems
Problem 2EA
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The average diameter of ball bearings of a certain type is supposed to be 0.5 inch. What conclusion is appropriate when testing
H0: μ = 0.5
versus
Ha: μ ≠ 0.5 inch
in each of the following situations?
(a)
n = 11,
t = 1.8,
α = 0.05
reject H0
fail to reject H0
(b)
n = 11,
t = −1.8,
α = 0.05
reject H0
fail to reject H0
(c)
n = 26,
t = −2.7,
α = 0.01
reject H0
fail to reject H0
(d)
n = 26,
t = −3.6
reject H0 at any reasonable significance level
fail to reject H0 at any reasonable significance level

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,