A sample of 51 observations yielded a sample standard deviation of 5.If we want to test H₀: σ² = 20, the test statistic is

A) 62.5.
B) 12.5.
C) 51.25.
D) 50.

Question

A sample of 51 observations yielded a sample standard deviation of 5.If we want to test H 0 : σ 2  = 20, the test statistic isA)  62.5.B)  12.5.C)  51.25.D)  50.

Martha Maiba73 · Accepted Answer

Final Answer : A, Explanation :  The test statistic for testing a hypothesis about a population variance (σ^2) is calculated using the formula χ^2 = (n-1)s^2 / σ^2, where n is the sample size, s is the sample standard deviation, and σ is the population standard deviation under the null hypothesis. Here, n = 51, s = 5, and σ = 20. Plugging these values into the formula gives χ^2 = (51-1)(5^2) / 20^2 = 50*25 / 400 = 1250 / 400 = 62.5.

A sample of 51 observations yielded a sample standard deviation of 5.If we want to test H₀: σ² = 20, the test statistic is

A) 62.5.
B) 12.5.
C) 51.25.
D) 50.

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A sample of 51 observations yielded a sample standard deviation of 5.If we want to test H0: σ2 = 20, the test statistic isA) 62.5.B) 12.5.C) 51.25.D) 50.

Definitions

Learning Objectives

Learning Objectives

Related questions

A sample of 51 observations yielded a sample standard deviation of 5.If we want to test H₀: σ² = 20, the test statistic is

A) 62.5.
B) 12.5.
C) 51.25.
D) 50.