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2 answers:
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Answer:
The number of single-shot espressos sold by the cafe was 49.
Step-by-step explanation:
It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.
Total number of espressos sold by the cafe yesterday afternoon was,
<em>N</em> = 70
The proportion of single-shot espresso sold was, <em>p</em> = 0.70.
Let <em>X</em> = number of single-shot espressos sold.
Compute the number of single-shot espressos sold by the cafe as follows:
Thus, the number of single-shot espressos sold by the cafe was 49.
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!