Answer:
Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution of X is normal then we know that the distribution for the sample mean
is given by:
And we have;


Step-by-step explanation:
Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of
Round your answers to two decimal places.
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution of X is normal then we know that the distribution for the sample mean
is given by:
And we have;


37.5% of 32 is 12
if you move the decimal point in the percentage 2 places to the left you will get a number you can multiply with
so 0.375 x 32 = 12
<u><em>Answer</em></u>
<em>1.) 50 mistakes per test</em>
<em>2.) 8 girls per group</em>
<em>3.) 27 pages per hour</em>
<em>4.) $1.30 per banana</em>
<em>5.) $0.50 per pencils</em>
<em>6.) 13 points per game</em>
<em>7.) $1.25 per cup of tea</em>
<em>8.) 65 liters per hour</em>
<em>9.) 25 calls per hour</em>
<em>10.) 35 words per minute</em>
<em>11.) 8 miles per liter of gas</em>
<em>12.) 0.4 eggs per day</em>
<em>13.) $28 per hour</em>
<em>14.) 3.5 miles per hour</em>
<u><em>Step-by-step explanation:</em></u>
<em>*Hope this helped*</em>
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Answer:
7
Step-by-step explanation: