Answer:


Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Step-by-step explanation:
We have the following info given:
represent the sampel mean for the age of customers
represent the population standard deviation
represent the sample size selected
We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis 
The statistic for this case is given by:

And replacing the data given we got:

We can calculate the p value since we are conducting a right tailed test like this:

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Answer:
K must be in range <u>$45000 ≤ k ≤ $53000 </u>to make this an effective screening device.
Step-by-step explanation:
In order for the screening device to be effective, the range of k must be such that, it is more than the pay of a worker without diploma. The extra amount must at least be equal to the cost of diploma
So the value of k must be in range from (35000 + 10000) to (35000 + 18000)
Hence,
<u>$45000 ≤ k ≤ $53000</u>
Answer:
14
Step-by-step explanation:
7 times 2 = 14
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.