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masha68 [24]
3 years ago
5

Let x stand for the number of calories in each individual snack. 25 snacks are sampled at a time. The population mean is 95 calo

ries and the population standard deviation is 2.5 calories. What is the mean and standard deviation of the sampling distribution of sample means?
a. mean = 19. standard deviation = 2.5
b. mean = 95, standard deviation = 0.5
c. mean = 95, standard deviation = 2.5
d. mean = 19. standard deviation = 0.5
Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

b)

<em>Mean of the sample μₓ = 95</em>

<em>Standard deviation of the sample (S) = 0.5</em>

Step-by-step explanation:

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

Given sample size 'n' = 25

Mean of the Population μ = 95 calories

Standard deviation of the Population = 2.5 calories

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

<em>Mean of the sample μₓ = μ</em>

<em>Mean of the sample μₓ = 95</em>

<em>Standard deviation of the sample</em>

<em>                                  </em>= \frac{S.D}{\sqrt{n} } = \frac{2.5}{\sqrt{25} } =0.5<em></em>

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