The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
According to the question,
Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.
First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.
Mean: 10*3 = 30
Standard deviation: 5*3 = 15
Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.
Applying change of origin in the above mean and standard deviation
Mean: 30 - 4 = 26
Standard deviation: Remains same = 15
Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
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Hello! First off, we can find the unit rate on what it would cost per pizza. Divide the total amount by the number of pizzas. 10.50/3 is 3.5. It costs $3.50 per medium pizza. Now, we can multiply that amount by 10 to get the amount for 10 pizzas. 3.5 * 10 is 35. There. It costs $35 to buy 10 medium pizzas.
Answer:
a) 53 is prime
Step-by-step explanation:
Answer:
H0: μ = 5 versus Ha: μ < 5.
Step-by-step explanation:
Given:
μ = true average radioactivity level(picocuries per liter)
5 pCi/L = dividing line between safe and unsafe water
The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.
A type I error, is an error where the null hypothesis, H0 is rejected when it is true.
We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended.
Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.
Answer:
w ≤ 593
Step-by-step explanation:
Missing option;
w ≥ 593
w > 593
w ≤ 593
593 < w
Explanation:
w ≥ 593 No
Number of wrapping paper sold never be more than 593.
w > 593 no
Number of wrapping paper sold never be more than 593.
w ≤ 593 yes
Number of wrapping paper sold will be equal or less than 593.
