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mr Goodwill [35]

3 years ago

14

Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the

mean is μ >98.6°F. The sample size is n =6 and the test statistic is t=2.528

1 answer:

kakasveta [241]3 years ago

5 0

Answer:

0.0263

Step-by-step explanation:

We have the null hypothesis $H_{0}: \mu = 98.6$ vs the alternative hypothesis $\mu > 98.6$ (upper-tail alternative). Besides, we have a small sample size n = 6, therefore, if we suppose that $H_{0}$ is true, then, the observed value t = 2.528 comes from a Student's t-distribution with n-1 = 6 - 1 = 5 degrees of freedom. Therefore, the p-value is computed as P(T > 2.528) = 0.0263

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Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

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We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be $4w+3l$ .

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From perimeter equation, we will get:

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Substituting this value in area equation, we will get:

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Bring out the constant:

$A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)$

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