1. State hypotheses by filling in the symbol (=,<,>, or not equal) and the popul

Question

1. State hypotheses by filling in the symbol (=,<,>, or not equal) and the population mean and determine if one or two tail:

2. Find critical z values with table H (which is below) is:

3. F test value is (round to three decimal places):

4. Reject the null or do not reject the null:

5. Conclusion: is or is not enough evidence, and is there a different or not?

In a hospital study, it was found that the standard deviation of the sound levels from 29 areas designated as "casualty doors" was 6.0 dBA and the standard deviation of 20 areas designated as operating theaters was 3.7 dBA. At = 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 State the hypotheses and identify the claim with the correct hypothesis. · not claim 2 | claim This hypothesis test is a two-tailed test. Part 2 out of 5 Find the critical value(s). Round the answer to two decimal places. Critical value is

Explanation / Answer

The statistical software output for this problem is:

Two sample variance summary hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 1

Hypothesis test results:

Hence,

Part - 2: From critical value table,

Critical value = 3.21

Part - 3: F = 2.30

Part - 4: Do not Reject the null

Part - 5: is not enough evidence; is different

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 28 19 2.6296567 2.6296567 0.032

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