The total cost of a pair of shoes and a hoodie is $150 the hoodie cost $100 more than the pair of shoes how much does each item
2 answers:
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Answer:
Unit rate by which the runner completed the marathon is 0.13 miles per minute.
Step-by-step explanation:
A runner competed a marathon of 26.2 miles in 210 minutes.
we can get unit rate by unitary method.
∵ In 210 minutes a runner completes the distance = 26.2 miles
∴ In 1 minute runner will complete the distance =
= 0.125 miles per minute
≈ 0.13 miles per minute
Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.
Answer:
Comparing the p value with the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.
Step-by-step explanation:
Data given and notation
represent the number with no defects in sample 1
represent the number with no defects in sample 1
sample 1
sample 2
represent the proportion of number with no defects in sample 1
represent the proportion of number with no defects in sample 2
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
significance level given
Concepts and formulas to use
We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Calculate the statistic
Replacing in formula (1) the values obtained we got this:
Statistical decision
Since is a two sided test the p value would be:
Comparing the p value with the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.