question archive Summer reading programs are very popular with children
Summer reading programs are very popular with children
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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 6.1. There were 21 members on this team. Team Beezus read an average of 26.1 books with a standard deviation of 2.3. There were 23 members on this team. Did the variances of the two teams differ? Use α = 0.05.
State hypotheses by filling in the symbol (=, <, >, or not equal):
Ho: σ1 σ2
H1: σ1 σ2
Find the critical value (from the table) (example: 2.34)
Critical F value is:
Compute the test value using the formula (round to two decimal places, example 6.45, and it is always greater than 1):
F test value is:
Reject the null or do not reject the null (type in either Reject the null or do not reject the null only):
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Answer:
Ho: σ1 =σ2
H1: σ1≠ σ2
critical value = 2.389
F test value = 7.034
do not reject the null
Explanation
we need to test the hypothesis
Ho: σ1 =σ2
H1: σ1≠ σ2
At ?n1?−1=20? and ?n2?−1=22? degrees of freedom and α = 0.05
critical value = 2.389
F test value =?s1^2/?s2^2??=6.1^2/2.3^2?=? 7.034
do not reject the null
