The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. A) H0: μ = 48°
B) H0: μ ≠ 48°
C) H0: μ≤ 48°
D) H0: μ ≥ 48°
H1: μ ≠ 48° H1: μ = 48° H1: μ > 48° H1: μ 48°
For large numbers of degrees of freedom, the critical χ2 values can be approximated as follows:
χ2 = (z + 2k - 1 )2, where k is the number of degrees of freedom and z is the critical value. To find the lower critical value, the negative z-value is used, to find the upper critical value, the positive z-value is used.
Use this approximation to estimate the critical value of χ2 in a right-tailed hypothesis test with n = 143 and α = 0.01.
A)χ2 ≈ 183.411
B) χ2 ≈ 189.286
C) χ2 ≈ 188.134
D) χ2 ≈ 184.549