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mr Goodwill [35]
3 years ago
5

A machine that makes dimes is adjusted to make them at diameter 1.9 cm. Production records show that when the machine is properl

y adjusted, it will make dimes with a mean diameter of 1.9 cm and with a standard deviation of 0.1 cm. During production, an inspector check the diameters of dimes to see if the machine has slipped out of adjustment. A random sample of 64 dimes is selected.
The inspector would like to detect if the true mean diameter happens to reach 1.95 cm at a significance level of a = 0.01. He determines the power of this test to be 0.9228. What is the probability that the inspector will make a Type II Error?

a. 0.01
b. 0.0385
c. 0.05
d. 0.0772
e. 0.9228
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

0.0772

Step-by-step explanation:

P(Power) + P(Type II Error) = 1, so P(Type II Error) = 1 – P(Power) = 1 – 0.9228 = 0.0772.

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On a certain hot summer's day, 538 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for a
Artist 52 [7]

Answer:

The number of children was 170 and adults was 368.

Step-by-step explanation:

To clarify we'll call children by 'c' and adults by 'a'. The amount of people in the pool should be the sum of adults and children, so:

a + c = 538

The receipts for the adimission should total the amount of tickets from children and adults multiplied by the price of each ticket, so:

1.75*c + 2.25*a = 1125.5

We now have two equations and two variables. Using the first equation we can isolate the 'a' variable and use it on the second equation to find an answer. We then have:

a + c = 538

a = 538 - c

Using it on the second equation:

1.75*c + 2.25*(538-c) = 1125.5

1.75*c + 1210.5 - 2.25*c = 1125.5

1.75*c - 2.25*c = 1125.5 - 1210.5

-0.5*c = -85

c = -85/(-0.5) = 170

Using this value on the first equation:

a = 538 - 170 = 368

7 0
3 years ago
Read 2 more answers
(a+b)2 ;a=1/2 and b=2
FrozenT [24]

Answer:

\frac{25}{4}

Step-by-step explanation:

a + b = \frac{1}{2} + 2 = 2 \frac{1}{2} = \frac{5}{2}, thus

(a + b)² = (\frac{5}{2} )² = \frac{5}{2} × \frac{5}{2} = \frac{5(5)}{2(2)} = \frac{25}{4}

8 0
3 years ago
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PlsAnsweRRRRR<br><br><br><br>The median value is .
Anna11 [10]

Answer:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Step-by-step explanation:

3 0
3 years ago
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help help help please im begging!! its trigonometry and its due tonight I'm so confused please help me out
lisov135 [29]

Step-by-step explanation:

Its the bottom question sir

3 0
3 years ago
How do you do this math?​
Pie

You should use the app “Photomath”. It’s a really helpful math app that gives you the answer and shows the steps to how to get the answers

8 0
4 years ago
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