Answer:
The value of the test statistic is -3.14.
Step-by-step explanation:
Test statistic:

In which X is the sample mean,
is the expected value,
is the standard deviation and n is the size of the sample.
A company advertises that its cans of caviar each contain 100 g of their product.
This means that 
They calculate a sample mean weight of 99 g and a sample standard deviation of 0.9 g. Sample of 8 cans.
This means that 
So the test statistic will be given by:



The value of the test statistic is -3.14.
It would be ASA(angle side angle)
if 2 angles and an included side are congruent, then the two triangles are congruent.
Answer:
greatest common factor is 2
Step-by-step explanation:
4k, 18k^4, 12
To find greatest common factor , we write each term in factor form
factors form are the product of the factor of given term
4k ---> 2 * 2* k
18k^2 ----> 3 * 3* 2* k*k
12 -----> 2*2*3
all the three terms has common factor 2
So GCf is 2
Answer:
The number of people needed is
Step-by-step explanation:
From the question we are told that
The population proportion is 
The margin of error is 
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the sample size is mathematically represented as
![n =[ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1-p)](https://tex.z-dn.net/?f=n%20%3D%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20p%281-p%29)
=> ![n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)](https://tex.z-dn.net/?f=n%20%3D%5B%20%5Cfrac%7B1.645%20%7D%7B0.03%7D%20%5D%5E2%20%2A%200.65%281-0.65%29)
=>