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podryga [215]
3 years ago
11

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

g contains exactly the same weight. But if more than 15% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 100 bags and finds that 21 of them are over-filled. He plans to test the hypotheses: H0: p = 0.15 versus Ha: p > 0.15 (where p is the true proportion of overfilled bags). What is the test statistic?
Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

The test statistic is Z=\frac{\hat{p}-0.15}{\sqrt{0.15(0.85)/100}} and the observed value 1.68

Step-by-step explanation:

We have a large sample size n = 100, the point estimate for the true proportion of overfilled bags p is given by \hat{p} = 21/100. The test statistic is given by Z=\frac{\hat{p}-0.15}{\sqrt{0.15(0.85)/100}} which is distributed as a standard normal variable approximately because we have a large sample. The observed value for the test statistic in this case is z=\frac{0.21-0.15}{\sqrt{0.15(0.85)/100}} = 1.68

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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a
Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

P(B|Head) = 0.6 \times \frac{0.5}{0.35}

P(B|Head) = 0.857

Similarly.

P(A|Head) = 0.857

Hence, the probability that our guess is correct = 0.857.

7 0
3 years ago
Witch equation has the correct sign on the product.
maria [59]

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Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
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Ostrovityanka [42]
<h2>Stella is correct about center and wrong about radius      </h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

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Here equation is

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Changing in to (x-h)²+(y-k)² = r² form

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           (x-4)²  + (y+1)²  = 4.69²

           Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius            

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Answer:

Step-by-step explanation:

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