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Bogdan [553]
4 years ago
9

8. Karyn proofreads 15 pages in 2 hours for $40.

Mathematics
1 answer:
Bogdan [553]4 years ago
7 0
Hi , Karyn proofreads 5 pages per hour , basically two half hours are equal to 10 pages , then 1 hour  equals 5 pages . She will receive 16 dollars for one page , because she receives 20 dollars for 5 pages . The unit rate is 5 pages per hour.
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Suppose the national mean annual salary for a school administrator is $91,000 a year. A school official took a sample of 25 scho
Gemiola [76]

Answer:

H0 : μ = 91000

H1 : μ ≠ 91000

Test statistic = - 2.594

Pvalue = 0.016

|Tcritical | = 2.064

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Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Step-by-step explanation:

The hypothesis :

H0 : μ = 91000

H1 : μ ≠ 91000

From the data given :

77600 76000 90700 97200 90700

101800 78700 81300 84200 97600

77500 75700 89400 84300 78700

84600 87700 103400 83800 101300

94700 69200 95400 61500 68800

Using calculator :

Sample mean, xbar = 85272

Sample standard deviation, s = 11039.23

Sample size, n = 25

The test statistic :

(xbar - μ) ÷ (s/√(n))

(85272 - 91000) / (11039.23/√(25)

Test statistic = - 5728 / 2207.846

Test statistic = - 2.594

The Pvalue : df = n - 1 = 25 - 1 = 24

Pvalue(-2.594, 24) = 0.0159

Decision region :

Reject H0 ; If Pvalue < α ;

α = 0.05

Using the critical value :

Decision region :

Reject H0 ; If Test statistic > |Tcritical;

Tcritical value at df = 24 ; α = 0.05 ;

|Tcritical | = 2.064

Hence,

We Reject H0 ; Since, |Test statistic| > |Tcritical|and conclude that mean salary depends differs

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Answer:

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Step-by-step explanation:

The n-th term is given by ...

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__

Using n=8, we find ...

  a8 = 4 + 2(8-1)

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