(1/4)^3+(3/4)^3+3(1/4)(3/4)(1/4+3/4)

An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr

LenKa [72]

Answer:

(a) The correct option is: H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b) Explained below.

(c) The better value of α will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion z-test.

(a)

The hypothesis can be defined as:

H₀: The proportion of defective installations is same for both the robots and human assemblers, i.e. p = 0.02.

Hₐ: The proportion of defective installations is less for the robots than for human assemblers, i.e. p < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (α).

Lesser the significance level of the test the lesser is the power of the test.

If the value of α is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of α the higher is the probability of making a correct decision.

Thus, the better value of α will be 0.10.

3 0

3 years ago

Which is an equation of a direct proportion?

nikdorinn [45]

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the measure of missing angle?

Thepotemich [5.8K]

115 degrees as 70+40=115 and that is equal to ?

3 0

3 years ago

Read 2 more answers

Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his chec

Verdich [7]

Answer:

A) A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) The difference between the two is that,

For the check, money is taken or removed from the account to pay for a bill while

For the deposit, money is added to the account.

Step-by-step explanation:

Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his checkbook as an $89.80 deposit.

A) Represent each transaction with a rational number

A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) Explain the difference between the transactions.

For the first transaction which is a check for his Verizon bill, using a check on your account means Ishmael wants to withdraw money from his account to pay for the bill. The money in his account will be $89.8 lesser than the initial amount there.

For the second transaction which recording in his checkbook a deposit of $89.80 means $89.80 was added to an account.

8 0

3 years ago

Suppose that a rectangular picture is surrounded by a frame of uniform width of x

user100 [1]

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

3 0

2 years ago