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alekssr [168]
3 years ago
5

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia and older subjects before treatment 14

subjects had a mean weight time of 104.0 minutes after treatment the 14th subjects had a mean weight time of 95.9 minutes and a standard deviation of 24.4 minutes assume that the 14 sample values appear to be from a normally distributed population in construct a 99% confidence interval estimate of the mean weight time for a population with drug treatments
Mathematics
1 answer:
RideAnS [48]3 years ago
7 0

Answer:

99% confidence interval estimate of the mean weight time for a population with drug treatments

(79.11 , 112.69)

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given data mean of the Population = 104 minutes

Given sample size 'n' =14

Mean of the sample(x⁻)  = 95.9 minutes

Given Standard deviation  = 24.4 minutes

<u><em>Step(ii)</em></u>:-

99% confidence interval estimate of the mean weight time for a population is determined by

(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.01} \frac{S.D}{\sqrt{n} })

(95.9 - 2.576\frac{24.4}{\sqrt{14} } , 95.9+2.576\frac{24.4}{\sqrt{14} })

On calculation , we get

(95.9 -16.79 , 95.9 +16.79)

(79.11 , 112.69)

<u><em>Conclusion:</em></u>-

99% confidence interval estimate of the mean weight time for a population with drug treatments

(79.11 , 112.69)

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tresset_1 [31]

Answer:

  c) 28°, 76°, 76°

Step-by-step explanation:

The two remote interior angles sum to 152°. Since they are congruent, their measures are 152°/2 = 76°. The adjacent interior angle is the supplement of 152°, so is 180°-152° = 28°.

The interior angles are 28°, 76°, 76°.  . . . .  matches choice C

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3 years ago
What is the slope of (1,5) and (4,-2)
andriy [413]

Answer:-2-5÷4-1=-1

Step-by-step explanation:

6 0
3 years ago
plz help Pru, Piper, and Phoebe share spices in the ratio 5:3:4. If Pru has 24 more spices than Piper, how many spices does Phoe
disa [49]

Answer:


Step-by-step explanation:

Pru, Piper, Phoebe ratio 5:3:4vadded = 12

What this means is Pru has 5/12 of the total amount, Piper has 3/12 of the total amount, and Phoebe has 4/12 of the total amount of spices.


pru = piper + 24

5/12x = 3/12x + 24

5/12x - 3/12x = 24

2/12x = 24

x = 24 / (1/6)

x = 24 * 6

x = 144 spices in total


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I hope this can help.

6 0
3 years ago
Read 2 more answers
I need help on c and d please
Dennis_Churaev [7]

A

We can't really do this without seeing 28, but I can give you an educated guess. The best way for me to proceed is to solve c.

The conjecture is that x = a + b. You should always find that to be true. C is the clincher.

Here's how you do that.

x + c = 180o That's true because all straight lines have 180o. If two angles make up the straight line that means that they are always equal to 180o So x + c = 180o

Now we move to the next step. All triangles also have 180o. That means that a + b + c = 180o

So we have two conditions that equal 180o. Equalities can be equated to one another.

a + b + c = x + c Subtract c from both sides.

a + b = x.

Study what has happened. Put in mathese, the two remote interior angles equal the exterior angle, which is what you are trying to prove.

Summary

a cannot be solved without 28

b you should say that the two remote angles (a and b) will always total x

c The proof is provided for you.


3 0
3 years ago
Forty-four percent of customers who visit a department store make a purchase. What is the probability that in a random sample of
Charra [1.4K]

Answer:

A. .1070

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent from other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that p = 0.44

What is the probability that in a random sample of 9 customers who will visit this department store, exactly 6 will make a purchase?

This is P(X = 6) when n = 9. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{9,6}.(0.44)^{6}.(0.56)^{3} = 0.1070

So the correct answer is:

A. .1070

8 0
3 years ago
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