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Anastasy [175]
3 years ago
5

Use technology and the given confidence level and sample data to find the confidence interval for the population mean muμ. Assum

e that the population does not exhibit a normal distribution. Weight lost on a diet:Weight lost on a diet: 95 % confidence95% confidence n equals 41n=41 x overbar equals 3.0 kgx=3.0 kg s equals 5.8 kgs=5.8 kg What is the confidence interval for the population mean muμ​? 1.21.2 kgless than
Physics
1 answer:
Ronch [10]3 years ago
4 0

Answer:

a.  μ_{95%} = 3 ± 1.8 = [1.2,4.8]

b. The correct answer is option D. No, because the sample size is large enough.

Explanation:

a. The population mean can be determined using a confidence interval which is made up of a point estimate from a given sample and the calculation error margin. Thus:

μ_{95%} = x_±(t*s)/sqrt(n)

where:

μ_{95%} = = is the 95% confidence interval estimate

x_ = mean of the sample = 3

s = standard deviation of the sample = 5.8

n = size of the sample = 41

t = the t statistic for 95% confidence and 40 (n-1) degrees of freedom = 2.021

substituting all the variable, we have:

μ_{95%} = 3 ± (2.021*5.8)/sqrt(41) = 3 ± 1.8 = [1.2,4.8]

b. The correct answer is option D. No, because the sample size is large enough.

Using the the Central Limit Theorem which states that regardless of the distribution shape of the underlying population, a sampling distribution of size which is ≥ 30 is normally distributed.

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Determine the kinetic energy of a 1000 kg roller coaster car that is moving with speed of 40.0 m/s​
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KE=800,000

Explanation:

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A 25kg chair initially at rest on a horizontal floor requires a 165 N horizontal force to set it in motion. Once the chair is in
SCORPION-xisa [38]

Answer:

\mu_k=0.51  

Explanation:

Given that

Mass , m = 25 kg

We know that when body is in rest condition then static friction force act on the body and when body is in motion the kinetic friction force act on the body .That is why these two forces are given as follows

Static friction force ,fs= 165 N

Kinetic friction force ,fk = 127 N

If the body is moving with constant velocity ,it means that acceleration of that body is zero and all the forces are balanced.

Lets take coefficient of kinetic friction  = μk

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