Find the critical value for the hypothesis test, given the following. (Give your answer correct to two decimal places.)
Ha: ó1 > ó2, with n1 = 7, n2 = 16, and á = 0.05
F=?
To find the critical value for the hypothesis test, we need to use the F-distribution.
The degrees of freedom for the numerator (df1) is equal to (n1 - 1), and the degrees of freedom for the denominator (df2) is equal to (n2 - 1).
Given n1 = 7 and n2 = 16, we have df1 = 7 - 1 = 6 and df2 = 16 - 1 = 15.
To find the critical value for a given alpha level, we need to consult an F-distribution table or use statistical software.
For an alpha level of α = 0.05 and df1 = 6 and df2 = 15, the critical F-value is approximately 3.375.
Therefore, the critical value (F) for this hypothesis test is 3.375 (correct to two decimal places).
To find the critical value for the hypothesis test, you need to use the F-distribution. In this case, the null hypothesis is not specified, so we will assume the null hypothesis is ó1 = ó2.
The degrees of freedom for the numerator (n1) is equal to the sample size of the first sample minus 1, which in this case is 7 - 1 = 6.
The degrees of freedom for the denominator (n2) is equal to the sample size of the second sample minus 1, which in this case is 16 - 1 = 15.
Using these degrees of freedom and the significance level (á = 0.05), we can find the critical value from an F-table.
Looking up the critical value for an F-distribution with 6 degrees of freedom for the numerator and 15 degrees of freedom for the denominator at a significance level of 0.05, we get a value of 2.57 (rounded to two decimal places).
Therefore, the critical value (F) for this hypothesis test is 2.57.