1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BlackZzzverrR [31]
3 years ago
8

What is the probability of making a type ii error when the machine is overfilling by .5 ounces (to 4 decimals)?

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0
Part A

The probability of making a type ii error is equal to 1 minus the power of a hypothesis testing.

The power of a hypothesis test is given by:

\beta(\mu')=\phi\left[z_{\alpha/2}+ \frac{\mu-\mu'}{\sigma/\sqrt{n}} \right]-\phi\left[-z_{\alpha/2}+ \frac{\mu-\mu'}{\sigma/\sqrt{n}} \right]

Given that the machine is overfilling by .5 ounces, then \mu-\mu'=-0.5, also, we are given that the sample size is 30 and the population standard deviation is  = 0.8 and α = 0.05

Thus,

\beta(16.5)=\phi\left[z_{0.025}+ \frac{-0.5}{0.8/\sqrt{30}} \right]-\phi\left[-z_{0.025}+ \frac{-0.5}{0.8/\sqrt{30}} \right] \\  \\ =\phi\left[1.96+ \frac{-0.5}{0.1461} \right]-\phi\left[-1.96+ \frac{-0.5}{0.1461} \right] \\  \\ =\phi(1.96-3.4233)-\phi(-1.96-3.4233) \\  \\ =\phi(-1.4633)-\phi(-5.3833)=0.07169

Therefore, the probability of making a type II error when the machine is overfilling by .5 ounces is 1 - 0.07169 = 0.9283



Part B:

From part A, the power of the statistical test when the machine is overfilling by .5 ounces is 0.0717.
You might be interested in
Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of prote
borishaifa [10]
Yes, she could. By eating 1 ounce of cheddar cheese and 3 ounces of Parmesan cheese, she would be consuming 40 grams of protein and 176 calories.
4 0
3 years ago
Read 2 more answers
A china shop receives a shipment of 125 dishes in 5 boxes. At this rate how many dishes will it receive in 15 boxes
Otrada [13]
375 dishes good luck!!
7 0
3 years ago
Read 2 more answers
a student correctly answered 80% of the 2o questions on the test How many questions did the student answer correctly
NeX [460]
16 questions right is the answer




4 0
3 years ago
Read 2 more answers
To the nearest 0.01 degree, what angle of descent (angle of depression) must a plane 50 horizontal miles from the airport and at
HACTEHA [7]
20,000÷50=
20000 \div 50 = 400ft
The plane needs to descend at 400 ft per mile.

At 40 degrees?
4 0
3 years ago
Mind my hand writing but I’m not sure what sign to put the “-“ or the “+” ?
Ierofanga [76]

hello!

so the answer that you put there is actually wrong and i'll tell you why and how to do it

so since you are adding the two:

-8x + 9x = x (so you got this part right)

-12 + 4 = -8 (this is where you got it wrong, -12 added 4 goes up in value to -8)

so the final answer is x - 8

i hope this helped and have a nice day!

4 0
3 years ago
Read 2 more answers
Other questions:
  • The average rainfall in Louisiana is about 1.53 meters which two answer express the measurement in millimeters
    14·1 answer
  • Use benchmarks to estimate the sum, difference, or product.\
    11·1 answer
  • Which mathematician won the novel prize for literature?
    12·2 answers
  • Help please! ^--^<br> . .
    10·1 answer
  • Function P is a linear function with a Y-intercept of 5.Function Q is defined by the equation Y=-1/3x +4.What statement must be
    10·1 answer
  • If the function f is defined by f(x) = 3x+ 4 then 2f(x) + 4 =?
    8·1 answer
  • Why can't a triangle have more than one obtuse angle?
    6·1 answer
  • What are the solutions to the equation x2 − 1 = 399?
    5·2 answers
  • Please answer the question!
    15·2 answers
  • GUYS PLEASE ANSWER THIS QUESTION IM DESPERATE
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!