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son4ous [18]
3 years ago
14

Which is the best estimation of

Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

The answer to this would be:

B) between 2.6 and 2.7

Step-by-step explanation:

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sveta [45]
Maybe the answer would be 12/5
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3 years ago
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Suppose that we want to test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industri
saw5 [17]

Answer: we reject the initial claim

(50. 3802, 51.6198)

Step-by-step explanation:

A)

The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

Population standard deviation (σ) = 2

We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

Z score = 51 - 50 / (2/√40)

Z score = 1 / 0.3162

Z score = 3.16

Our level of significance is 5%, and the critical value at this level of significance is 1.645.

By comparing the z score relative to the critical value, since our z score is greater than 1.645, it implies that we are in the rejection region hence we reject the initial claim.

B)

We are to construct a 95% confidence interval for population mean temperature.

For upper limit

u = x + Zα/2 ×(σ/√n)

Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

7 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
max2010maxim [7]

Answer:c

Step-by-step explanation:

8 0
3 years ago
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Assuming a 90% confidence level, the margin of error is approximately?
elena-s [515]

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

  • standard deviation = 2.7
  • √(sample size) = √225 = 15
  • z*-score for 90% confidence level = 1.645

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

7 0
3 years ago
the artist goes to the store to buy brushes and small cans of paint. he pays $94. he buys 8 brushes that cost $5 each. the rest
sertanlavr [38]
Pays $94
brushes = $40
94 - 40 = 54
54 ÷ 6 = 9
each can of paint costs $9
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3 years ago
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