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zaharov [31]
3 years ago
14

Consider the following confidence interval interpretation: We are 98% confident that the true mean laptop screen size is between

19.2 and 21.4 inches. Is this interpretation of a confidence interval correct or incorrect
Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

Incorrect

Step-by-step explanation:

This interpretation is incorrect because it states that 98% of the data is with in the confidence interval.

or 98% of the laptop have screen size between 19.2 and 21.4 inches

However, the interpretation would have been correct if it would have stated as - Value of the population mean i.e mean size of the laptop screen lies within the confidence interval.

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2. The ratio of
denpristay [2]

Answer:

<h2>3500</h2>

Step-by-step explanation:

Given the  ratio of  the profit, cost of  materials and labour  in the production of

an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25

If the cost of labour is x, the cost of material will be 840+x (since the  cost of materials is Le  840 more than that of  labour)  .

Let the total cost of producing the article be y.

Cost of labour = 13/25 * y = x

Cost of labour  = 13y/25 = x.................... 1

Cost of material = 7/25*y = 840+x

Cost of material = 7y/25 = 840+x ..................... 2

From 1, 13y = 25x

x = 13y/25 ................... 3

Substituting equation 3 into 2:

7y/25 = 840+x

7y/25 = 840+13y/25

collect the like terms:

7y/25 - 13y/25 = 840

-6y/25 = 840

-6y = 25*840

y = 25*840/6

y = 3,500

<em>Hence the total cost of producing the article is 3500</em>

4 0
3 years ago
Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tail
WINSTONCH [101]

Answer:    Two-tailed test.

Population mean is the parameter which is tested.

Step-by-step explanation:

Given :   H_0: \mu=105

H_1:\mu\neq105

We know that , the alternative hypothesis (H_1) indicates kind of the hypothesis test we need to perform whether ​left-tailed, right-tailed, or​ two-tailed.

Here, the alternative hypothesis (H_1) is two-tailed, so the hypothesis test is a two-tailed test.

Also, the parameter present in the hypothesis is \mu which is a symbol to represent the population mean.

Thus , Population mean is the parameter which is tested.

8 0
3 years ago
Please show work, i’ll mark as brainliest
bulgar [2K]

Answer:

y=4

x=-3

Step-by-step explanation:

4(-3)-9y=-48

-12-9y=-48

-9y=-36

y=4

x=-3

4 0
3 years ago
Read 2 more answers
Find all the zeros of the quadratic function.<br> y=x²-11x+18
maria [59]
Y= (X-9)(x+2)
X=9
X=-2
8 0
3 years ago
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