The lowest point in Japan is Hachirogata (elevation 4m), and the highest point is Mount Fuji (elevation 3,776 m). What is t
1 answer:
You might be interested in
Answer:
The critical value of <em>z</em> for 99% confidence interval is 2.5760.
The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).
Step-by-step explanation:
Let <em>X</em> = number of lightning strikes on each day.
A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.
The random variable <em>X</em> has a sample mean of, and the population standard deviation,
.
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
Compute the critical value of <em>z</em> for 99% confidence interval is:
*Use a <em>z</em>-table.
The critical value of <em>z</em> for 99% confidence interval is 2.5760.
Compute the 99% confidence interval for population mean number of lightning strike as follows:
Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).
The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.
Answer:
a)
b)
So the answer for this case would be n=189 rounded up to the nearest integer
Step-by-step explanation:
Part a
represent the sample mean
population mean (variable of interest)
s=165.4 represent the sample standard deviation
n =52represent the sample size
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom aregiven by:
Since the Confidence is 0.95 or 95%, the significance and
, and the critical value would be
Now we have everything in order to replace into formula (1):
Part b
The margin of error is given by this formula:
(a)
And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for this case wuld be , replacing into formula (b) we got:
So the answer for this case would be n=189 rounded up to the nearest integer