Answer:
The critical value of <em>t</em> at 0.01 level of significance is 2.66.
Step-by-step explanation:
The hypothesis for the two-tailed population mean can be defined as:
<em>H₀</em>: <em>μ </em>= <em>μ₀</em> vs. <em>H₀</em>: <em>μ </em>≠ <em>μ₀</em>
It is provided that the population standard deviation is not known.
Since there is no information about the population standard deviation, we will use a <em>t</em>-test for single mean.
The test statistic is defined as follows:

The information given is:
<em>n</em> = 55
<em>α</em> =<em> </em>0.01
Compute the critical value of <em>t</em> as follows:

*Use a <em>t</em>-table for the value.
If the desired degrees of freedom are not provided consider he next highest degree of freedom.
Thus, the critical value of <em>t</em> at 0.01 level of significance is 2.66.
Answer: 1.5 !!!
Step-by-step explanation:
Surface area of sphere=100pi cm^2
4pi×r^2=100 pi
pi cancel on both sides
4×r^2=100
r^2=100/4
r^2=25
so r=5
So option b 5 cm is correct.
Answer:
9 : 25
Step-by-step explanation:
45 : 125 simplify =
A student pays for 8.9 pounds of apples with a 10$ bill. Its $1.09 per pound. How much change does the student receive? What do you do first to solve the problem?
Answer:
$0.299
Step-by-step explanation:
Given that :
Pounds of apple purchased = 8.9 pounds
Price per pounds of apple = $1.09
Bill issued = $10
First, we calculate the total cost of 8.9 pounds of apple :
(Number of pounds * price per pound)
($8.9 * 1.09) = $9.701
Amount of Change :
Bill issued - total cost
$10 - $9.701
= $0.299