Answer:
The value of the test statistic is z = -0.877.
Step-by-step explanation:
Testing the difference in mean time spent on housework between husbands and wives.
At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:
At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that 
For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.
This means that 
What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?
The value of the test statistic is z = -0.877.
5 and 4 are two in inequalities because they make 5 bigger then 13
Answer:
Step-by-step explanation:
The formula for the volume is given by
(side)3=volume
Since we have the volume, we must take the cube root of the volume to find the length of any one side (since it is a cube, all of the sides are equal).
(side)3−−−−−−√3=side=volume−−−−−−√3
Plugging in 216 for the volume, we end up with
side=6 cm
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
Well, you would need to compensate for the cost of the banquet hall adding an addition $700 to the goal of $1000.
If you need to raise at least $1700 you can write this inequality.
Let x represent the number of tickets sold.
15x≥1700
x≥ 114 (rounded to the nearest whole number because you can't sell half a ticket)
So, at least 114 tickets need to be sold.
