Answer:
Malcolm’s maximum speed is 200 km/h and and Ravi’s maximum speeds is 320 km/h.
Step-by-step explanation:
Let x and y are the maximum speeds ( in km / h ) of Malcolm and Ravi respectively,
Then according to the question,
Again according to the question,
Equation (1) + equation (2),
3x = 600
⇒ x = = 200,
From equation (1),
200 + y = 520
⇒ y = 520 - 200 = 320
Hence, Malcolm’s and Ravi’s maximum speeds are 200 km/h and 320 km/h respectively.
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.