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Alinara [238K]
3 years ago
5

A sample of 51 elements is selected to estimate a 95% confidence interval for the variance of the population. The chi-square val

ues to be used for this interval estimation are
a. -1.96 and 1.96
b. 32.357 and 71.420
c, 34.764 and 67.505
d. 12.8786 and 46.9630

Business
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

Correct option: (b) 32.357 and 71.420

Explanation:

The confidence interval for population variance <em>σ</em>² is:

\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2, (n-1) }}\leq  \sigma^{2}\leq \frac{(n-1)s^{2}}{\chi^{2}_{(1-\alpha/2), (n-1) }}

Given:

n=51\\\alpha =1-0.95=0.05

Compute the critical values of chi-square as follows:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,50}=71.42

\chi^{2}_{(1-\alpha/2), (n-1)}=\chi^{2}_{0.975,50}=32.36

Use the chi-square table for the critical value.

Thus, the critical values are 32.36 and 71.42.

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Answer:

Please check the attached image for the depreciation schedule

2. Units of production method

Explanation:

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Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($18,000 - $3,000) / 4 = $3,750

Depreciation expense each year of the useful life is $3,750

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Deprecation factor = 2 x (1/useful life) = 0.5

Depreciation expense in year 1 = 0.5 x $18,000 = $9,000

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Depreciation expense in year 2 = 0.5 × $9,000 = $4,500

Book value = $9,000 - $4,500 = $4,500

Depreciation expense in year 3 = 0.5 x $4,500 = $2250

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Depreciation expense in year 1 = ($18,000 - $3,000) x (300 / 3000) = $1,500

Depreciation expense in year 2 =18,000 - $3,000) x (900 / 3000) = $4,500

Depreciation expense in year 3 = (18,000 - $3,000) x (1200 / 3000) = $6,000

Depreciation expense in year 3 = (18,000 - $3,000) x (600 / 3000) = $3,000

The Units of production method tracks wear and tear accurately because deprecation depends on the production each year.

I hope my answer helps you

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Answer:

Line organization model

Explanation:

Based on the information provided within the question it seems that Party Pros Inc. is using a Line organization model. This is an organizational structure in which power flows from the top to the bottom, meaning that the person at the top is the owner and the individuals in each level of the hierarchy answer to those in the upper levels, all of which are trying to accomplish the same organizational goals. Such as is being described in this situation.

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