Smiley's Cookies makes the best chocolate chip cookies in town! Yesterday, the store sold 7 large cookies for every 5 small cook
1 answer:
Answer: The number of small cookies sold = 75
Step-by-step explanation:
GIven: Yesterday, the store sold 7 large cookies for every 5 small cookies.
Let 7x be the number of cookies and 5x be the number of small cookies. (i)
They sold 30 more large cookies than small cookies.
i.e. (Using (i))
Thus, the number of small cookies sold = 5 (15)=75 (Using (i))
Hence, the number of small cookies sold = 75
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Answer:
a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.
b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.
Step-by-step explanation:
Question a:
We have to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a p-value of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.
The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.
The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.
Question b:
The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.