. Question 27 Test the claim that on average, salaries in Smalltown are more than salaries in Largetown. A random sample of 33 Smalltown salaries yields a mean of $54988 and standard deviation of $1549, while a random sample of 36 Largetown salaries yields a mean of $54669 and a standard deviation of $1381. Use a = 0. 10. Let Population 1 be Smalltown. 1. The fact that salaries are not known to be normally distributed is not important in this test because: O this is a Z-test O both sample sizes are at least thirty this is a T-test both sample means are at least thirty The hypotheses are: O Ho: P1 2 P2; Ha: P1 p2 O Ho: M1 12; Ha: M1 > /2 2. This is a O right two left tailed test and the distribution used is O Z since testing two proportions O Z since both o values are known O T since both o values are not knownThe Degrees of Freedom {use the simple estimate discussed in the notes, not the messy formula] are {2:23- 33 \""223- 32 '33:} WA; this is a Z-test 3. The STS l[round to 3 decimals} is: The P-value {round to 4 decimals} is: 4. The decision at or = 0.10 is: it? Do not reject Ho since P 3' a: '5'} Reject Ho since P g a '73? Do not reject Ho since P > or '31:? Reject Ho since P :=> 0: The conclusion is: '33:} There is sufficient evidence to conclude that on average, salaries in Smalltown are not more than salaries in Largetown '17 There is insufficient evidence to conclude that on average, salaries in Smalltown are more than salaries in Largetown '3' There is insufficient evidence to conclude that on average, salaries in Smalltown are not more than salaries in Largetown '33:} There is sufficient evidence to conclude that on average, salaries in Smalltown are more than salaries in Largetown