The answer to the question is 43
Answer:
The probability is 0.0069
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD/√(n)
where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40
Plugging these values into the z-score equation, we have;
z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615
Now, we check the standard normal table for P(z > 2.46) = 0.0069
Answer:
$56
Duane puts 7/10 of his money into the bank.
7/10 of 80 is 56
The answer would be 0.185.
Answer:
96
Step-by-step explanation:
<u>Step 1
</u>
Divide your confidence interval by 2. In this case the confidence is 95% = 0.095, so 0.095/2 = 0.0475
<u>Step 2
</u>
Use either a z-score table or a computer to find the closest z-score for 0.0475 and you will find this value is 1.96
<u>Step 3
</u>
Divide the margin error by 2. In this case, the margin error is 2%. When dividing this figure by 2, we get 1% = 0.01
<u>Step 4
</u>
Divide the number obtained in Step 2 by the number obtained in Step 3 and square it
1.96/0.01 = 196 and 196 squared is 38,416
<u>Step 5
</u>
As we do not now a proportion of people that purchase on line, we must assume this value is 50% = 0.5. Square this number and you get 0.25
<u>Step 6
</u>
Multiply the number obtained in Step 5 by the number obtained in Step 4, round it to the nearest integer and this is an appropriate size of the sample.
38,416*0.25 = 9,604