Consider the following. (Give your answers correct to two decimal places.)
(a) Calculate the value for the test statistic,
χ2, for Ho:
σ2 = 18.5, n = 19,
s2 = 17.
χ2* =
(b) Calculate the value for the test statistic,
χ2, for Ho:
σ2 = 31.3, n = 14, s =
5.6.
χ2* =
(c) Calculate the value for the test statistic,
χ2, for Ho: σ =
42.8, n = 14, s = 38.4.
χ2* =
(d) Calculate the value for the test statistic,
χ2, for Ho: σ =
11.2, n = 23, s2 = 176.
χ2* =
Solution :
(a)
= (n - 1)s 2 /
= (19 - 1) * 17 / 18.5
= 16.54
(b)
= (14 - 1) 5.62 / 31.3 = 13.02
(c)
= (14 - 1) 38.42 / 42.82 = 10.46
(d)
= (23 - 1) * 176 / 11.22 = 30.87
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