Answer:
(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.
Step-by-step explanation:
Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.
Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.
Test statistic (t) = (sample mean - population mean) ÷ sd/√n
sample mean = 3.24 minutes
population mean = 3.3 minutes
sd = 0.4 minutes
n = 62
degree of freedom = n - 1 = 62 - 1 = 71
significance level = 0.08
t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2
The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654
Conclusion:
Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.
Answer:
(B) the first box
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Answer:
or 
Step-by-step explanation:
4x + 15 < 40
Subtract 15 from both sides
4x + 15 - 15 < 40 - 15
4x < 25
Divide both sides by 4
4x/4 < 25/4
x < 6.25
or
x < 6 1/4
Answer:
10.74
Step-by-step explanation:
add both digits in each column
To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve
x+2y=5
2+2(1)=5
4=5
Since this statement isn't true, then the point doesn't lie on the line
Hope this helps
