Option 4
<u>V</u><u>e</u><u>r</u><u>i</u><u>f</u><u>i</u><u>c</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u>
And
Hence verified
Answer:
a) p-hat (sampling distribution of sample proportions)
b) Symmetric
c) σ=0.058
d) Standard error
e) If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).
Step-by-step explanation:
a) This distribution is called the <em>sampling distribution of sample proportions</em> <em>(p-hat)</em>.
b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.
This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.
c) The variability of this distribution, represented by the standard error, is:
d) The formal name is Standard error.
e) If we divided the variability of the distribution with sample size n=90 to the variability of the distribution with sample size n=40, we have:
If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).
Answer:
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
The initial conditions say that when x = 0, the function equals 5. Let's write that down:
Therefore, the integration constant 'C' must equal 5. This means that our function is:
Answer:
<7 = 47, 2x - 5 + 47 = 180, x = 69
Step-by-step explanation:
<5 and <7 are vertical angles, which means that they have the same degree.
<7 + <6 = 180. <6 = 2x - 5. 2x - 5 + 47 = 180.
Solve
2x - 5 + 47 = 180
2x + 42 = 180
2x = 138
x = 69
Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
- 20*2*3= 120 min = 2 hours
So next time both alarms sound at 7:15 am + 2 hours = 9:15 am