Answer:
Step-by-step explanation:
The null hypothesis is:
H0: μ(1995)=μ(2019)
The alternative hypothesis is:
H1: μ(1995)<μ(2019)
Because Roger wants to know if mean weight of 16-old males in 2019 is more than the mean weight of 16-old males in 1995 the test only uses one tail of the z-distribution. It is not a two-sided test because in that case the alternative hypothesis would be: μ(1995)≠μ(2019).
To know the p-value, we use the z-statistic, in this case 1.89 and the significance level. Because the problem does not specify it, we will search for the p-value at a 5% significance level and at a 1%.
For a z of 1.89 and 5% significance level, the p-value is: 0.9744
For a z of 1.89 and 1% significance level, the p-value is: 0.9719
The third one duhhh, Ik this stuff
Answer:
3/16
Step-by-step explanation:
Monica has a 24-inch square frame.
There are 4 equal sides.
Hence, length of each side=24/4 inch
= 6 inch
She paints 3/4 of one side of the frame blue.
i.e. she paints 
inch
Total part to be painted=24 inch
Hence, fraction of the frame Monica painted blue is:
Answer:
2. ) {25}^{2x} - 1 = {125}^{3x} + 4
=> {25}^{2x} = {125}^{3x} + 4 +1
=> {(5)^(2)}^{2x} = {(5)^(3)}^{3x} + {5}^{1}
=> {5}^{4x} = {5}^{9x} + {5}^{1}
=> 4x = 9x + 1
=> 4x - 9x = 1
=> - 5x = 1
=> x = 1/-5
