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Allushta [10]
3 years ago
5

Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 50

0 grams. He performed a hypothesis test to find the mean weight of each cake by setting H subscript 0 equals 500 and H subscript a less than 500. Select the statement that indicates a Type I error.
a) Rejecting the mean weight of each cake as 500 grams when H subscript 0 equals 500.

b) Rejecting the mean weight of each cake as 500 grams when H subscript 0 less than 500.

c) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 equals 500.

d) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 less than 500.
Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500

Step-by-step explanation:

Given that :

Null hypothesis : H0 =500

Alternative hypothesis : Ha < 500

Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.

Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.

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25% of what number is 50?
LekaFEV [45]

Answer:

200

Step-by-step explanation:

The unknown number = x

25% of x = 50

25% of x = 0.25x

0.25x = 50

Multiply both sides of the equation by 4

x = 200

Hope this helps :)

5 0
2 years ago
Cot (15 degrees)
STatiana [176]

Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

<em>Everything is done in degrees</em>

<em />

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

I hope this helps! :)

8 0
2 years ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

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Therefore, the tax rate is 5.5%.

7 0
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5 0
2 years ago
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