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:
option c boo if it's for plata
Answer:(1) The correct option is b. (2) The correct option is c.
Explanation:
(1)
It is given that the △ABD≅△FEC.
So by (CPCTC) corresponding parts of congruent triangles are congruent.
It is given that the angle DAB is 63 degree.
Therefore, the correct option is b.
(2)
It is given that the △ABD≅△FEC.
So by (CPCTC) corresponding parts of congruent triangles are congruent.
Therefore, the correct option is c.
2, 3, 5 and 7 the the first 4 prime numbers
To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
