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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics

1 answer:

cupoosta [38]3 years ago

8 0

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{8 \pm \sqrt{ {8}^{2} - 4 \times 2 \times 5 } }{2 \times 2}$

$x = \frac{8 \pm \sqrt{24} }{4} \\ \\ x = \frac{8 \pm2 \sqrt{6} }{4}$

$x = 2 \pm \frac{ \sqrt{6} }{2} \\ \\ x = 2 \pm \sqrt{1.5} \\ \\ x = 2 + \sqrt{1.5} \: \: and \: \: \: 2 - \sqrt{1.5}$

$\textbf{\red{Your answers are correct.}}$

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Answer:

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And we can use the following excel code to find it: "=1-T.DIST(1.356,498,TRUE)"

Step-by-step explanation:

Data given and notation

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$n_{P}=250$ sample size selected Paleo

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$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ 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 Paleo diet provides more weight control than the control treatment, the system of hypothesis would be:

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Alternative hypothesis: $\mu_{P}-\mu_{C}>0$

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$t=\frac{(\bar X_{P}-\bar X_{C})-12}{\sqrt{\frac{s^2_{P}}{n_{P}}+\frac{s^2_{C}}{n_{C}}}}$ (1)

t-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

We can replace in formula (1) the info given like this:

$t=\frac{(7-5)-0}{\sqrt{\frac{20^2}{250}+\frac{12^2}{250}}}}=1.356$

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The first step is calculate the degrees of freedom, on this case:

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And we can use the following excel code to find it: "=1-T.DIST(1.356,498,TRUE)"

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