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brilliants [131]
3 years ago
6

An experimenter has prepared a drug dosage level that she claims will induce sleep for 80% of people suffering from insomnia. Af

ter examining the dosage, we feel that her claims regarding the effectiveness of the dosage are inflated. In an attempt to disprove her claim, we administer her prescribed dosage to 20 insomniacs and we observe Y , the number for whom the drug dose induces sleep. We wish to test the hypothesis H0 : p = 0.8 versus the alternative, Ha : p < 0.8. Assume that the rejection region {y ≤ 12} is used. (a) In terms of this problem, what is a type I error?
Mathematics
1 answer:
Digiron [165]3 years ago
8 0

Answer:

This type of error would lead to the conclusion that the dosage level is less effective than it really is.

Step-by-step explanation:

A Type I error happens when we reject the null hypothesis even when it is true.

In this case, this would happens when the sample taken gives results that end by pure chance in the rejection region, and nont because the null hypothesis is not true.

This type of error would lead to the conclusion that the dosage level is less effective than it really is.

You might be interested in
Let C ( t ) be the number of US cell phone subscribers in millions in t years since 1995. A linear model for the data is F ( t )
Andru [333]

ANSWER

In 16 years time.


EXPLANATION.



If the number of subscribers is 324 million, then it means


f(t)=324


But we were given that,


f(t)=18.997t+16.711



This implies that,


324=18.997t+16.711


We now solve for t,



324-16.711=18.997t



307.289=18.997t



\frac{307.289}{18.997}=t



16.17566=t



That will be approximately in the 16th year.











6 0
3 years ago
Suppose that 10 people, including you and a friend, line up for a group picture. How many ways can the photographer rearrange th
slamgirl [31]

Answer:

483 840 ways

Step-by-step explanation:

Let you and your friend be A and B.

With three people always between you two,, we have

Case 1: AxxxBxxxxx

Case 2: xAxxxBxxxx

Case 3: xxAxxxBxxx

Case 4: xxxAxxxBxx

Case 5: xxxxAxxxBx

Case 6: xxxxxAxxxB

So there is 6 ways of arranging you two through the line and for each of the six cases,

If you two remained in your positions, the rest can be arranged in 8! ways

Also for each case, you two can interchange your positions in 2! ways

Therefore,

The photographer can rearranged the line keep three people between you an your friend in

8! * 2! * 6 = 483 840 ways

7 0
3 years ago
Given the pay rate and hours worked, determine the gross earnings, Federal taxes (assuming 18% of gross earnings), state taxes (
ella [17]

Answer:

Let us assume that the pay rate per hour = x

no. of hours worked = n

Gross earnings = x*n

Federal taxes = 18% of gross earnings

= 0.18(x*n)

State taxes = 4% of gross earnings

= 0.04(x*n)

Social security deduction = 7.05% of gross earnings

= 0.0705(x*n)

Total deductions = Federal taxes + State taxes +SSD

= 0.18(x*n) + 0.04(x*n) + 0.0705(x*n)

= 0.2905(x*n)

Net pay = Gross earnings - Total Deduction

Net pay = x*n - 0.2905(x*n)

Net pay = 0.7095(x*n)

3 0
3 years ago
−6x+14&lt;−28 OR 9x+15≤−12
Serhud [2]

Answer:x>7 or x ≤ -3

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
C6.1 PA1 short term decision Artisan Metalworks has a bottleneck in their production that occurs within the engraving department
laila [671]

Answer: $4850

Step-by-step explanation:

The other information related to the question is:

Direct materials = $3.50

Direct labor = $1.10

Variable overhead = $0.45

Fixed overhead = $2.80

Total = $7.85

Based on the information given in the question, the increase in the profit will be calculated as the contribution from the 3000 extra units minus the worker's salary.

Contribution from 3000 units will be:

= (Selling price - Direct materials - Direct labor - Variable overhead) × 3000

= ($25 - $3.50 - $1.10 - $0.45) × 3000

= $19.95 × 3000

= $59850

Increase on Profit:

= $59850 - $55000

= $4850

5 0
3 years ago
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