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4 years ago

Please help me with this question and explain thankss

Mathematics

1 answer:

butalik [34]4 years ago

6 0

∠BDC = ∠BEC = 40°
∠ADB = (arc AB)/2 = 44°/2 = 22°
∠ADC = ∠ADB +∠BDC
= 22° +40° = 62°

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Commute times in the U.S. are heavily skewed to the right. We select a random sample of 45 people from the 2000 U.S. Census who

Delicious77 [7]

Answer:

The mean commute time in the U.S. is less than half an hour.

Step-by-step explanation:

In this case we need to test whether the mean commute time in the U.S. is less than half an hour.

The information provided is:

$n=45\\\bar x=25.5\\s=19.1\\\alpha =0.05$

(a)

The hypothesis for the test can be defined as follows:

H₀: The mean commute time in the U.S. is not less than half an hour, i.e. μ ≥ 30.

Hₐ: The mean commute time in the U.S. is less than half an hour, i.e. μ < 30.

(b)

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{25.2-30}{19.1/\sqrt{45}}=-1.58$

Thus, the test statistic value is -1.58.

(c)

Compute the p-value of the test as follows:

$p-value=P(t_{(n-1)}$

*Use a t-table.

The p-value of the test is 0.061.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.061> α = 0.05

The null hypothesis will not be rejected at 5% level of significance.

Thus, concluding that the mean commute time in the U.S. is less than half an hour.

8 0

4 years ago

Wats slope please hurry!!!!!! please!!?? 2 1 5

Dennis_Churaev [7]

The slope is 1 :)

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3 years ago

How would I convert 2.7 g/cm to lb/in?

ozzi

It will be 0.0151193
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3 years ago

Suppose you know the length of a confidence interval of a population mean is 8.4 and the sample mean (x bar) is 10. Find the ma

SOVA2 [1]

Answer:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The lenght of the interval correspond to:

$8.4 = 2ME$

$ME= \frac{8.4}{2}= 4.2$

And since we know the margin of error we can find the limits for the confidence interval:

$Lower = 10 -4.2=5.8$

$Upper = 10 +4.2=14.2$

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X=10$ represent the sample mean