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Cerrena [4.2K]
3 years ago
7

Malik’s weekly pay varies directly to the number of hours he works as a lifeguard. His weekly pay is $246.50 when he works 17 ho

urs. What is his weekly salary when he works 23 hours? Note: Write a direct variation equation representing this situation and use this equation to answer the question.
Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:

Step-by-step explanation:

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3 years ago
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A
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Answer: (14.4, 17.2)

Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.

We have been given that

Sample size (n) = 872

Sample mean (x) = 15.8

Population standard deviation (σ) = 1.8

The formulae that defines the 98% confidence interval for mean is given below as

u = x + Zα/2 × σ/√n...... For the upper limit

u = x - Zα/2 × σ/√n...... For the lower limit

Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33

By substituting the parameters we have that

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u = 15.8 + 2.33 × (1.8/√872)

u = 15.8 + 2.33 (0.6096)

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u = 17.2

For lower tailed

u = 15.8 - 2.33 × (1.8/√872)

u = 15.8 - 2.33 (0.6096)

u = 15.8 - 1.4203

u = 14.4

Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)

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3 years ago
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