A rectangle prism has a height of 4 millimeters and width 5 millimeters. The total surface area is 166 square millimeters, what
1 answer:
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Answer:
Let the complaints by Industry be CbI
CbI Frequency
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
b) Percentages
CbI percentage (%)
Bank 13
Cable 22
Car 21
Cell 30
Collection 14
c) The industry with the highest number of complaints is the Cell Industry.
d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.
Step-by-step explanation:
a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.
b) The percentage for each industry is done in comparison to the the total amount of complaints received.
Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)
Total amount of complaints received = 200
For Bank industry,
Percentage = 100% × (26/200) = 13%
For the Cable Industry,
Percentage = 100% × (44/200) = 22%
For Car industry,
Percentage = 100% × (42/200) = 21%
For Cell industry,
Percentage = 100% × (60/200) = 30%
For Collection industry,
Percentage = 100% × (28/200) = 14%
c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.
d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.
Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a one sided test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.