Peter worked 2 part-time jobs and earned $189.00 for working a total of 24 hours at both jobs. He is paid $6.00 per hour at Job
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Answer:
a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance
Null hypothesis is accepted at 0.01% level of significance
<em>They score is above 24 on the math portion of the exam</em>
<em>b) </em>
<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school
H₀: μ = 24
<u>Alternative Hypothesis: </u>H₁: μ ≠ 24
<u>Step-by-step explanation:</u>
<u><em>Step(i)</em></u>:-
Given random sample 'n' = 250
Given data sample mean x⁻ = 24.5
Standard deviation = 3.3
<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school
H₀: μ = 24
<u>Alternative Hypothesis: </u>H₁: μ ≠ 24
test statistic
a) 99% or 0.01% level of significance
Level of significance ∝ = 0.01
The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance
Null hypothesis is accepted at 0.01% level of significance
<em>They score is above 24 on the math portion of the exam</em>
b) 95% or 0.05% level of significance
Level of significance ∝ = 0.05
The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance
Null hypothesis is Rejected at 0.05% level of significance
<em>They score is below 24 on the math portion of the exam</em>