During a vacation together bob spent twice as much as Josh who spent four times as much as Ralph. If Bob and Ralph together spen
2 answers:
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The event that either M1 or M2 fails has probability
by the addition rule. Failure events are independent, so
so that
Denote this probability by . Then
follows a geometric distribution with this parameter
and has density
The expectation is .
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>