Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t 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 the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-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:
Answer:
We would save $1.52 cents
Step-by-step explanation:
3 the pencil were at sale for 25 cent
1 pencil = 25 cent/3 =8.33 cent per one pencil
5 the pencil were at sale for 29 cent
1 pencil = 29 cent/5 =5.8 cent per one pencil
If we bought 60 pencil in group of 3 for 25 cent
=60/3= 20 pencil
25cents * 20 pencil = 500 cent per 60 pencil
If we bought 60 pencil in group of 5 for 29 cent
=60/5= 12 pencil
29cents * 12 pencil = 348 cent per 60 pencil
From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents
Answer: 76.5
Step-by-step explanation:
Interior angles of a triangle = 180 degrees so then you do 180-27 to get 153. Then 153 divided by 2 = 76.5
Step Number 1. is to Simplify
Step Number 2. <span>Simplify so you get </span>
Done! :)
Answer:
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