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vivado [14]
2 years ago
12

A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more th

an one battery is used. The variance σ2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of σ2 = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 16.3 months (squared). Using a 0.05 level of significance, test the claim that σ2 = 23 against the claim that σ2 is different from 23.
Mathematics
1 answer:
zavuch27 [327]2 years ago
8 0

Answer:

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

Step-by-step explanation:

From the question we are told that:

Sample size n=30

Variance \sigma= 16.8

Significance Level \alpha=0.05

\sigma = 23

Genet=rally the Hypothesis are as follows

Null H_0=\sigma^2=23

Alternative H_a=\sigma^2 \neq 23

Generally the equation for Chi distribution t is mathematically given by

t test statistics

X^2=\frac{(n-1)\sigma}{\sigma^2}

X^2=\frac{(30-1)16.8^2}{23}

X^2=355.86

Therefore

Critical Value

P_{\alpha,df}

Where

df=29

P_{\alpha,df}=16.0471 and 45.7223

X^2=45.7223

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

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There are between 50 and 60 number of eggs in a basket. When Loza counts by 3's, there are 2 eggs left over. When she counts by
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Answer:

The number of eggs in the basket is 56

Step-by-step explanation:

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Part 1 , not significant

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Step-by-step explanation:

Given that a  heterozygous white-fruited squash plant is crossed with a yellow-fruited plant, yielding 200 seeds. of these seeds, 110 produce white-fruited plants while only 90 produce yellow-fruited plants

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These results are here statistically significant.

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