Answer:
F=7xy²
Step-by-step explanation:
Rewrite the question
4xy * F = 28x^2y^3 Divide by 4xy
Divide the 4 into the 28.
Divide the x into the x^2
Divide the y into the y^3
F = 7xy²
Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?
1 answer:
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Answer:
We conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.
Step-by-step explanation:
We are given that a sports statistician claim that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.
The mean winning time of a sample of 30 randomly selected Boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours.
<em>Let </em><em> = </em><u><em>mean winning times for Boston marathon women's open division champions.</em></u>
So, Null Hypothesis, :
2.68 hours {means that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours}
Alternate Hypothesis, : p < 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is less than 2.68 hours}
The test statistics that would be used here <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean winning time = 2.60 hours
= population standard deviation = 0.32 hours
n = sample of women's open division champions = 30
So, <em><u>test statistics</u></em> =
= -1.37
The value of z test statistics is -1.37.
Now, P-value of the test statistics is given by following formula;
P-value = P(Z < -1.37) = 1 - P(Z 1.37)
= 1 - 0.9147 = <u>0.0853</u>
Since, P-value of the test statistics is more than the level of significance as 0.0853 > 0.05, so <u>we have insufficient evidence to reject our null hypothesis</u> as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.