1. Calculate the following. (give answers correct to one decimal place)

a) Find the critical value χ² (17, 0.005)

b) Find the critical value χ² (12, 0.05)

c) Find the critical value χ² (25, 0.90)

d) Find the critical value χ² (10, 0.99)

2. Calculate the following. (Correct to two decimal places)

a) Calculate the value for the test statistic, χ², for Ho: σ2 = 20.5, n = 16, s2 = 16.4

b) Calculate the value for the test statistic, χ2, for Ho: σ2 = 31.1, n = 29, s = 6.4

c) Calculate the value for the test statistic, χ2, for Ho: σ = 41.1, n = 18, s = 39.7

d) Calculate the value for the test statistic, χ2, for Ho: σ = 11.5, n = 28, s2 = 177

a) Find the critical value χ² (17, 0.005)

b) Find the critical value χ² (12, 0.05)

c) Find the critical value χ² (25, 0.90)

d) Find the critical value χ² (10, 0.99)

2. Calculate the following. (Correct to two decimal places)

a) Calculate the value for the test statistic, χ², for Ho: σ2 = 20.5, n = 16, s2 = 16.4

b) Calculate the value for the test statistic, χ2, for Ho: σ2 = 31.1, n = 29, s = 6.4

c) Calculate the value for the test statistic, χ2, for Ho: σ = 41.1, n = 18, s = 39.7

d) Calculate the value for the test statistic, χ2, for Ho: σ = 11.5, n = 28, s2 = 177

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