Answer:
There is 8% (P=0.08) that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.
Step-by-step explanation:
We have one-sample z-test with a significance level of 0.08 and a power ot the test of 0.85.
In this test, the null hypothesis will state that the new equipment has the same productivity of the older equipment. The alternative hypothesis is that there is a significative improvement from the use of new equipment.
The probability that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect is equal to the probability of making a Type I error (rejecting a true null hypothesis).
The probability of making a Type I error is defined by the level of significance, and in this test this value is α=0.08.
Then, there is 8% that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.
Answer:
Step-by-step explanation:
relation

- Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

Given,
- Mother's age = x
- Revathi's age = 1/3 x = ?
- Difference in their age = 24 years ⇨ x - 1/3 x = 24.
Now, let's solve this question using the above equation which we just formed.

Combine x and
to get
.

Multiply both sides by
, the reciprocal of
.

Express
as a single fraction.

Multiply 24 and 3 to get 72.

Divide 72 by 2 to get 36.

We now have the age of Revathi's mother (x) = <u>36 years</u>. Now, let's find Revathi's age ⇨ 

- So, Revathi is <em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>years </u></em><em><u>old.</u></em>
743 is a prime number because it has no other positive divisors besides one and itself.