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lizdeleon248
03.12.2020 •
Mathematics
The probability of rolling a 4 on a number cube is . If you were to roll the cube 48 times, you would expect to get a 4 around 8 times (6 · 48 = 8). You simulate 48 rolls. How many 4s would make you question your model?
A.6
B.24
C.8
D.10
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Ответ:
(a) 0.0855
(b) 0.0268
(c) 0.0319
Step-by-step explanation:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was truly observed.
A small p-value (typically p ≤ 0.05) specifies sturdy proof against the null hypothesis (H₀), so we discard H₀. A large p-value (p > 0.05) specifies fragile proof against the H₀, so we fail to discard H₀.
(a)
Use the Excel function "=T.DIST.RT(1.465,11)" to compute the right-tailed p-value for a test statistic of, t = 1.465 and s degrees of freedom of, df = 11.
p-value = 0.0855
(b)
Use the Excel function "=T.DIST.2T(2.522,12)" to compute the two-tailed p-value for a test statistic of, t = 2.522 and s degrees of freedom of, df = 12.
p-value = 0.0268
(c)
Use the Excel function "=T.DIST(-1.952,22,TRUE)" to compute the left-tailed p-value for a test statistic of, t = -1.952 and s degrees of freedom of, df = 22.
p-value = 0.0319