The level of noise was measured in different rooms of our building and compared

ID: 3355018 • Letter: T

Question

The level of noise was measured in different rooms of our building and compared to the temperature in that room. The measurements were made in 12 rooms. A linear model was fitted to this data, and the F test for linearity produced the test statistic f = 4.1. What is the critical value F needed to define the rejection region Reject the null hypothesis if f > F at confidence level 0.05?
Enter the critical value with 4 decimal digits precision. Answer
What is your test conclusion at 0.05 confidence level? Reject the null hypothesis Reject the alternative hypothesis Cannot reject the null hypothesis Cannot reject the alternative hypothesis Accept the null hypothesis Accept the alternative hypothesis
The level of noise was measured in different rooms of our building and compared to the temperature in that room. The measurements were made in 12 rooms. A linear model was fitted to this data, and the F test for linearity produced the test statistic f = 4.1. What is the critical value F needed to define the rejection region Reject the null hypothesis if f > F at confidence level 0.05?
Enter the critical value with 4 decimal digits precision. Answer
What is your test conclusion at 0.05 confidence level? Reject the null hypothesis Reject the alternative hypothesis Cannot reject the null hypothesis Cannot reject the alternative hypothesis Accept the null hypothesis Accept the alternative hypothesis
Reject the null hypothesis Reject the alternative hypothesis Cannot reject the null hypothesis Cannot reject the alternative hypothesis Accept the null hypothesis Accept the alternative hypothesis
Reject the null hypothesis Reject the alternative hypothesis Cannot reject the null hypothesis Cannot reject the alternative hypothesis Accept the null hypothesis Accept the alternative hypothesis

Explanation / Answer

We take degrees of freedom for the numerator (df1) = 1 and for denominator (df2) = n -2 = 12 - 2 = 10

The critical value F = 4.9646

Since f is < F, we fail to reject the Null Hypothesis or Cannot reject the null hypothesis.

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The level of noise was measured in different rooms of our building and compared

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