Quiz

A random sample of size 16 is drawn from a normal population with variance σ² = 25. If the sample variance is s² = 36, what is the chi-square statistic for this test?

For a chi-square distribution with 12 degrees of freedom, what is the mean and variance?

A quality control test uses 8 batteries from a production line. The population standard deviation is known to be 2 minutes. If the sample standard deviation is 3 minutes, what is the chi-square statistic?

For a chi-square distribution with 5 degrees of freedom, what is P(χ² ≤ 1.15) approximately?

A sample of 20 observations from a normal population has s² = 18. If σ² = 16, what is the chi-square statistic?

What is the probability that a chi-square value with 3 degrees of freedom exceeds 7.82?

The chi-square distribution with 10 degrees of freedom has variance:

A random sample of 15 items from a normal population has variance 25. The population variance is 20. What is the chi-square statistic?

For a chi-square distribution with 8 degrees of freedom, what is P(χ² > 13.36)?

The chi-square distribution is a special case of which distribution?

If X ~ χ²(6), what are the parameters for the equivalent Gamma distribution?

A sample of 12 batteries has standard deviation 4 minutes. Population standard deviation is 3 minutes. What is the chi-square statistic?

What is the mean of F-distribution with v₁=5, v₂=10 degrees of freedom?

For F-distribution with v₁=4, v₂=8, what is the variance?

Sample 1 (n=12) from normal population with σ₁=5 has s₁=6. Sample 2 (n=8) from normal population with σ₂=4 has s₂=5. What is the f-statistic?

Two independent samples: n₁=10, s₁=8, σ₁=6; n₂=15, s₂=7, σ₂=5. What is the f-statistic?

What does f₀.₀₅(6,10) represent?

Sample of 11 cows: σ=5kg, s=4.5kg. Sample of 7 bulls: σ=3.5kg, s=4kg. What is the f-statistic?

For F-distribution with v₁=3, v₂=12, what is the mean?

What is the variance of F-distribution with v₁=5, v₂=15?

A chi-square distribution with 20 degrees of freedom has mean:

What is P(χ² ≤ 3.84) for a chi-square distribution with 1 degree of freedom?

Sample of 25 items: s²=36, σ²=25. What is the chi-square statistic?

For F-distribution, what is the relationship with chi-square distributions?

Two samples: n₁=8, s₁=5, σ₁=4; n₂=10, s₂=6, σ₂=5. What is the f-statistic?

What is the probability that χ² with 4 degrees of freedom is greater than 9.49?

A chi-square distribution with 15 degrees of freedom has variance:

Sample of 18 observations: s=7, σ=6. What is the chi-square statistic?

For F-distribution with v₁=8, v₂=20, what is the mean?

What is the variance of F-distribution with v₁=6, v₂=12?

Two independent samples from normal populations: n₁=9, s₁=8, σ₁=6; n₂=12, s₂=7, σ₂=5. What is the f-statistic?

What is P(χ² ≤ 6.25) for a chi-square distribution with 3 degrees of freedom?

Sample of 14 items: s²=49, σ²=36. What is the chi-square statistic?

For F-distribution with v₁=10, v₂=15, what is the mean?

What is the variance of F-distribution with v₁=4, v₂=10?

Two samples: n₁=11, s₁=9, σ₁=7; n₂=8, s₂=6, σ₂=5. What is the f-statistic?

What is P(χ² > 10.64) for a chi-square distribution with 4 degrees of freedom?

Sample of 22 observations: s=8, σ=7. What is the chi-square statistic?

For F-distribution with v₁=7, v₂=18, what is the mean?

What is the variance of F-distribution with v₁=8, v₂=20?

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