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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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Step-by-step explanation:

Lets just rewrite the equation

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If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

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siniylev [52]

There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.

Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.

We are required to find the number of ways in which the volunteers can be assigned.

Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.

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Number of ways in which the volunteers can be assigned is equal to the following:

Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.

Number of ways =14C_{12}

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Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.

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This is in my opinion. Im not sure if it is correct or not but Good luck!


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