A soft drink company has many bottling plants across the country. Based on its records, the company believes that an average of3. 4bottles out of a million break during the bottling process. Suppose that for an internal audit, the company selects40of its bottling plants and examines each one for evidence, at the significance level of0.10, that the number of broken bottles per million in the plant is significantly different fromμ = 3. 4. That is, in each of the bottling plants, an independent hypothesis test is carried out, each with a null hypothesis.h and alternative hypothesish in the following way. ho: μ-3.4.5 h₁: μ#3.4.5 (to) For any one of the bottling plants, what is the probability thath is rejected when in fact it is true? 0 (b) Let's suppose is true for each of thebottling plants. For how many of the40bottling plants, on average, we would expecth is it rejected? 0 (c) Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40 bottling plants? Choose the best answer from the options given. X

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(b)
(c)
Let's supposeh is true for each of thebottling plants. For how many of the40bottling plants, on average, we would
expecth is it rejected?
Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40
bottling plants? Choose the best answer from the options given.
O It would be surprising, since4is much larger than the number of hypothesis tests that we expect, on
average, to result in the rejection ofh when it's actually true.
It would not be surprising, since4is less than or equal to the number of hypothesis tests that we expect,
on average, to result in the rejection ofh when it's actually true.
×
G
Transcribed Image Text:(b) (c) Let's supposeh is true for each of thebottling plants. For how many of the40bottling plants, on average, we would expecth is it rejected? Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40 bottling plants? Choose the best answer from the options given. O It would be surprising, since4is much larger than the number of hypothesis tests that we expect, on average, to result in the rejection ofh when it's actually true. It would not be surprising, since4is less than or equal to the number of hypothesis tests that we expect, on average, to result in the rejection ofh when it's actually true. × G
A soft drink company has many bottling plants across the country. Based on its records, the company believes that an average of3. 4b6ttles out of a million
break during the bottling process. Suppose that for an internal audit, the company selects40of its bottling plants and examines each one for evidence, at the
significance level of0.10, that the number of broken bottles per million in the plant is significantly different fromµ=3. 4. That is, in each of the bottling plants, an
independent hypothesis test is carried out, each with a null hypothesis.h and alternative hypothesish in the following way.
ho: μ = 3.4.5
h₁: μ‡3.4.5
(to) For any one of the bottling plants, what is the probability that is rejected when in fact it is true?
(b) Let's suppose is true for each of thebottling plants. For how many of the40bottling plants, on average, we would
expecth is it rejected?
0
(c)
Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40
bottling plants? Choose the best answer from the options given.
X
Ś
Transcribed Image Text:A soft drink company has many bottling plants across the country. Based on its records, the company believes that an average of3. 4b6ttles out of a million break during the bottling process. Suppose that for an internal audit, the company selects40of its bottling plants and examines each one for evidence, at the significance level of0.10, that the number of broken bottles per million in the plant is significantly different fromµ=3. 4. That is, in each of the bottling plants, an independent hypothesis test is carried out, each with a null hypothesis.h and alternative hypothesish in the following way. ho: μ = 3.4.5 h₁: μ‡3.4.5 (to) For any one of the bottling plants, what is the probability that is rejected when in fact it is true? (b) Let's suppose is true for each of thebottling plants. For how many of the40bottling plants, on average, we would expecth is it rejected? 0 (c) Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40 bottling plants? Choose the best answer from the options given. X Ś
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