Answer:
0.58
Step-by-step explanation:
The probability that Taymoor gets at least one job is a sum of probabilities of 3 events:
1.He gets Job 1 (P(1.yes)= 0.3) and doesn't get the job 2 (P(2.not)=1-0.4=0.6)
P(1.yes,2.not)=P(1.yes)*P(2.not)=0.3*0.6=0.18
2. He doesn't get job1 (P(1.not)= 1-03=0.7 ) and gets job2(P2.yes)=0.4)
P(1.not,2.yes)=P(1.not)*P(2.yes)=0.7*0.4=0.28
3. He gets job1 (P(1.yes)= 0.3 ) and gets job2(P2.yes)=0.4)
P(1.yes,2.yes)=P(1.yes)*P(2.yes)=0.3*0.4=0.12
The resulted probability is P(gets job)= 0.18+0.28+0.12=0.58
Answer:
1) The correct z* to to construct a 92% confidence interval is 1.75
2) these results are not good evidence that the new curriculum has improved Math SAT scores.
3) the results are not statistically significant at level α = 0.05, but they are practically significant.
Step-by-step explanation:
1) z-score for 92% confidence level is ≈ 1.75
2) P-value for testing whether the mean score in senator's state is more than the national average of 480 is less than 0.0001 means that
the probability that the sample is drawn from the population where senator's state is more than the national average of 480 is <0.0001.
Thus we have to reject this hypothesis since the probability is too small.
3) if we calculate the statistic of the sample we get (560-480)/100=0.8 where
- 560 is the mean score of trained 4 students
- 480 is the mean math sat score of this year
- 100 is the standard deviation of the test.
Since t-critical at 0.05 significance for 3 degrees of freedom ≈ 2.35 is bigger than 0.8, the result is not significant statistically.
But 80 points higher than the national average is a practically significant result since its <em>effect size</em> is large.
A proper fraction is when the numerator is smaller then the denominator .
so ur answer is 3/4
** fractions are improper if the numerator is bigger then the denominator.
and when the numerator and denominator are the same, the fraction equals 1
Charge of Ralph:
Charge = $24 + $33 per hour
Let the time worked be = x.
For x hours, the cost = 33*x = 33x
Charge = 24 + 33x
24 + 33x = 189
33x = 189 - 24
33x = 165
x = 165/33
x = 5
The job took 5 hours.
I hope this helped
