Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Step-by-step explanation:
Information given
n=750 represent the random sample taken
estimated proportion of people who thought the economy is getting worse
is the value that we want to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true proportion of interest is equal to 0.32 or not.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
2 times 4/3= 8/3 8/3-6/3=2/3 therefore Clyde needs 2/3 cup more flour.
Answer:
(a) I(355)=9
(b) I'(265)=−0.05163
(c) The l′(t) is largest at 81.25.
Step-by-step explanation:
The given function is

where I(t) the length of the day in Boulder and l is given in hours and t is the day of the year.
(a)
Substitute t=355 in given function.




Therefore, the value of I(355) is 9. It means the length of the day in Boulder is 9 hours at 355 day of the year.
(b)
Differentiate the given function with respect to t.


Substitute t=265 in the above function.


Therefore, the value of I'(265) is −0.05163. It means the length of the day in Boulder decreased by 0.05163 hours at 265 day of the year.
(c)
Differentiate the I'(t) function with respect to t.


Equate
to find critical points.



On comparing both sides we get





Check the value of the function I'''(t) at t=81.25.
Since
, therefore the value of l′(t) is largest at 81.25.
Answer:
Due to the higher z-score, Cade should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Whoever had the higher z-score.
Reyna:
Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.
This means that 



Kaitlyn:
Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.
This means that 



Cade:
Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that 



Due to the higher z-score, Cade should be offered the job.
Answer:A
Step-by-step explanation: there are most odd number's through 0,9