Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
<em>H</em>₀: There is no difference between the two population means, i.e. <em>d</em> = 0.
<em>Hₐ</em>: There is a significant difference between the two population means, i.e. <em>d</em> ≠ 0.
Consider the Excel output attached.
The mean of the differences is, 
.
The standard deviation of the differences is, 
.
Compute the test statistic as follows:
The degrees of freedom is, n - 1 = 7.
Compute the <em>p</em>-value as follows:
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
<em>p</em>-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
Answer:
not clear
Step-by-step explanation:
what is the height and base? need an image
Answer:
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by 
.
Answer: 30.2
Explanation:
The mean is calculated by taking the sum of the values and dividing by the count.
For instance, for the 6 women, with the mean being 31, we can see that the ages summed to 186:
186
6
=
31
And we can do the same for the men:
116
4
=
29
And now we can combine the sum and count of the men and women to find the mean for the office:
186
+
116
10
=
302
10
=
30.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.99548 * 1.8342
the first number rounds to 3.....the second number rounds to 2.....3 * 2 = 6...but it will be a little short of 6 because of the 1.8.....so I am going with 5.5
===============================
jada ran 7.1 miles.....noah ran 5.123 miles
so jada ran (7.1 - 5.123) = 1.977 miles farther then noah
===============================
greater then 3...
1.67 + 1.4 and 4.5 - 1.47
