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Sedbober [7]
2 years ago
3

A company that manufactures laptop batteries claims the mean battery life is 16 hours. Assuming the distribution of battery life

is approximately normal, a consumer group will conduct a hypothesis test to investigate whether the battery life is less than 16 hours. The group selected a random sample of 14 of the batteries and found an average life of 15.6 hours with a standard deviation of 0.8 hour.
Which of the following is the correct test statistic for the hypothesis test?

A. t=15.6−160.8
B. t=16−15.60.8
C. t=15.6−160.813
D. t=15.6−160.814
E. t=16−15.60.814
Mathematics
1 answer:
xenn [34]2 years ago
3 0

Answer:

The correct test statistic for the hypothesis test is t = -1.87

Step-by-step explanation:

The null hypothesis is:

H_{0} = 16

The alternate hypotesis is:

H_{1} < 16

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

In this question:

X = 15.6, \mu = 16, s = 0.8, n = 14

So

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{15.6 - 16}{\frac{0.8}{\sqrt{14}}}

t = -1.87

The correct test statistic for the hypothesis test is t = -1.87

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A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svetlanka [38]

Answer:

12,345 tablets may be prepared from 1 kg of aspirin.

Step-by-step explanation:

The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.

Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.

Each kg has 1,000,000mg. So

1kg - 1,000,000mg

xkg - 81mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

x = 0.000081kg

Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?

1 tablet - 0.000081kg

x tablets - 1kg

0.000081x = 1

x = \frac{1}{0.000081}

x = 12,345 tablets

12,345 tablets may be prepared from 1 kg of aspirin.

4 0
2 years ago
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the
Yuri [45]

Answer:

a. a parameter.

Step-by-step explanation:

A parameter is a property that describes the whole population, while a statistic is a property pertaining to a sample or sub-set of the population.

In this example, the average content of 4 ounces pertains to the 121 bottles sample and thus is a statistic. While the standard deviation of the population is mentioned to be 0.22 ounces, therefore 0.22 is a parameter.

8 0
2 years ago
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function , where t is time in months
horrorfan [7]

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

5 0
2 years ago
The coordinates of parallelogram PVWZ are P(0, 0), V(-p, q), and W(-p - r, q). Find the coordinates of Z without using any new v
Drupady [299]
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables. 
</span>

Vector WZ equals vector VP, which is (p, -q) 
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you. 

3 0
2 years ago
Read 2 more answers
Suppose a population of 250 crickets double in size every 3 months how many crickets will there be after 2 years
Hitman42 [59]

if they double in size every 3 months and there are 12 months in a year, just multiply 250x4=1000 then multiply that by 2. 1000x2=2000

3 0
2 years ago
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