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gogolik [260]
3 years ago
7

The mean finish time for a yearly amateur auto race was 186.37 minutes with a standard deviation of 0.323 minute. the winning​ c

ar, driven by ted​, finished in 185.82 minutes. the previous​ year's race had a mean finishing time of 112.6 with a standard deviation of 0.141 minute. the winning car that​ year, driven by karen​, finished in 112.25 minutes. find their respective​ z-scores. who had the more convincing​ victory?
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ- standard deviation

The z-score for ted will be:
x=185.82
μ=186.37
σ=0.323
thus
z=(186.37-185.82)/0.323=1.70

The z-score for Karen:
x=112.25
μ=112.6
σ=0.141
hence:
z=(112.25-112.6)/0.141=-2.48

Comparing the two z-score, we conclude that Ted had a convincing win because he has not deviated so much from the win.

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Answer:

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Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.

That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.

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3 years ago
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Oksana_A [137]

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Svetllana [295]

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<h3>What is a null hypothesis?</h3>

The null hypothesis exists as a specific mathematical theory that claims that there exists no statistical relationship and significance between two sets of observed data and estimated phenomena for each set of selected, single observable variables. The null hypothesis can be estimated to define whether or not there exists a relationship between two measured phenomena, which creates it useful. It can let the user comprehend if the outcomes exist as the product of random events or intentional manipulation of a phenomenon.

To learn more about the null hypothesis refer to:

brainly.com/question/13135308

#SPJ4

4 0
1 year ago
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