HELP ASAP PLS!!!

Mathematics

1 answer:

nirvana33 [79]3 years ago

4 0

Answer:

176 seconds

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit will be,

T = -12.55x + 276.52

Here , T = time taken to cover one lap

x = Age

If the age of Marsha's son is 8 years then expected time taken by her son to cover one lap will be,

T = -12.55(8) + 276.52

T = -100.4 + 276.52

T = 176.12 seconds

Therefore, approximate time taken by Marta's son will be 176 seconds.

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A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before t

aleksklad [387]

Answer:

We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.

Step-by-step explanation:

The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:

$IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}$

Knowing that $t_{0.99,15} = 2.602$ :

$IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516$

$IC[\mu ; 98\%] = [71.387 ; 126,416]$

Note that $102.8 \in [71.384 ; 126.416]$ so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.