A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a ban
2 answers:
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Answer:
a
The Null hypothesis represented as
The Alternative hypothesis represented as
b
p-value = P(Z < -3.37 ) = 0.000376
c
There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
Step-by-step explanation:
From the question we are told that
The population size is
The sample size for graduates is
The sample mean for graduates is
The sample standard deviation for graduates is
The sample size for under-graduates is
The sample mean for under-graduates is
The sample standard deviation for graduates is
The Null hypothesis represented as
The Alternative hypothesis represented as
Where are the population mean
Now the test statistic is mathematically represented as
substituting values
The p-values is mathematically evaluated as
p-value = P(Z < -3.37 ) = 0.000376
The above answer is gotten using a p-value calculator at (0.05) level of significance
Looking the p-value we see that it is less than the level of significance (0.05) so Null hypothesis is rejected
Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line A is (0,3)
The x-intercept of the dashed line A is (-4.5,0)
----> inequality B
The solution of the inequality B is the shaded area below the solid line
The slope of the solid line is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (6,0)
The solution of the system of inequalities is the shaded area between the shaded line and the solid line
using a graphing tool
see the attached figure
Answer:
There are 13 years 6 months and 12 days.
Step-by-step explanation:
Let's convert the scientific notation to standard form of minutes
7.01568x10^6 =7015680 minutes
Now, let's convert this to number of days because each day has 24*60=1440 minutes.
So, number of days in 7015680 minutes is =4872 days
Now, change this 4872 days to years, months and days.
We know 1 year has 12 months and one month has 30 days.
So,
Number of years ==13.53333333 years
Now, convert 0.53333333 years to months.
0.53333333*12=6.4 months.
Now, convert 0.4 months to days.
0.4* 30 =12 days.
So, there are 13 years 6 months and 12 days.