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?

Summer reading programs are very popular with children. At the Citizens Library. Team Ramona read an average of 23.2 books with a standard deviation of 5.5. There were 21 members on this team. Team Beezus read an average of 26.1 books with a standard deviation of 2.5. There were 19 members on this team. Did the variances of the two teams differ? Use = 0.01. Use the traditional method of hypothesis testing and let 1 be the standard deviation for Team Ramona. Assume that all variables are normally distributed Part 1 State the hypotheses and identify the claim with the correct hypothesis. 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 the table,

Critical value = 3.50

Part - 3: F = 4.840

Part - 4: Reject Ho

Part - 5: is enough evidence; differ

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 20 18 4.84 4.84 0.0014

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