Why did the picture go to jail (big ideas math puzzle time, red book,common core)?
2 answers:
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Answer:
Step-by-step explanation:
It is given that,
Amy wants to sell at most 25 cookies ,
Let number of cookies be '' , then
should be less than or equal to 25
Which is represented by ,
Further,
Let number of sprites be '', then '
' should be greater than or equal to 10
Which is represented by
Also,
Given,
she profits $.50 on every cookie
and $1.00 on every sprite.
So total profit on selling cookies would be
= Profit on each cookie times the number of cookies
=
=
Similarly, total profit on selling sprites would be
=profit on each sprite times the number of sprites
=
=
Now, combining these two should be greater than or equal to $30
representing this through an equation,
Thus the sysytem of equations is given as:
Answer:
Check the explanation
Step-by-step explanation:
(a)
H0: Population mean = 8.46
H1: Population mean is not equal to 8.46
The test statistic (t) is given by the following expression -
We have calculated the sample mean (8.421) and sample standard deviation (0.0461). Therefore, the test statistic (t) will be -
t = (8.421 - 8.46)/(0.0461/sqrt(49)) = -5.92
The left-sided critical value from t-distribution (two-tailed) is -2.01. Thus the test statistic falls in the rejection region and we reject the null hypothesis at 95% confidence level and conclude that the population mean is different from 8.46 inches.
(b)
There are the following four assumptions for a single sample t-test.
The observations are in ratio scale.
The observations have been taken in such a manner that every single observation is independent and uncorrelated from the others.
There should not be any significant outliers in the sample observations.
The sample data should be approximately normal.
(c)
The first assumption is true as the data is in inches. The second assumption cannot be tested now. It will depend upon the situation and study design which we assume as correct in this case. The third assumption is checked by plotting a box plot and finding the outliers. The final assumption can be checked using the Anderson-Darling normality test.
Kindly check the graphical table in the attached images below.
(d)
The data is normal (the p-value of Anderson-Darling test in > 0.05). However, two points in the Box plot are outliers though not grossly different from the entire sample data set. So, we conclude that the assumptions are valid in this case for conducting the t-test.
