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Dmitriy789 [7]
2 years ago
13

Can someone help me with this?

Mathematics
1 answer:
sergeinik [125]2 years ago
4 0

Answer:

no sorry i want points

Step-by-step explanation:

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A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

Z = \frac{X - \mu}{s}

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Betty can travel 61 centimeters in 5 minutes. Please calculate Betty's rate of speed. (round to 2 decimal places)
iren [92.7K]

Answer:

61/5= 12.2 centimeters per minute

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 40 3/4 as a decimal
soldier1979 [14.2K]

Answer:

40.75

Step-by-step explanation:

3/4 = 0.75

40 + 0.75= 40.75

4 0
2 years ago
Please guys help please
almond37 [142]
Wild guess a I’m only guessing
4 0
3 years ago
What is the product of the following? 22 × 26/11<br> a. 44<br> b. 446/11<br> c. 89/14<br> d. 56
soldier1979 [14.2K]

22* \frac{26}{11} = 2*11* \frac{26}{11} =2*26=52&#10;


<span>any answer is correct, my is correct....</span>

4 0
2 years ago
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