Answer:
There is enough evidence to support the claim that the population mean is greater than 100
Step-by-step explanation:
<u>Step 1</u>: We state the hypothesis and identify the claim
and
(claim)
<u>Step 2</u>: Calculate the test value.


<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134
<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).
<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.
<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for
and d.f=39 and compare to the test-value:
The critical value (1.685>1.126) falls in the non-rejection region. See attachment.
NB: The t- distribution must be used because the population standard deviation is not known.
Answer: 13P3= 1716
Step-by-step explanation:
Answer: 50 cents
Step-by-step explanation:
Norman buys two cakes. One cake cost 40 cents and the other costs a quarter. Based on this, the cost of the second cake will be:
= 1/4 × 40
= 10 cent
Now, the total amount spent in total will be:
= 40 cents + 10 cents
= 50 cents
2(11)+2x=38
22+2x=38
2x=38-22
2x=16
x=16/2
x=8
The width of the rectangle is 8 feet.