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AleksandrR [38]
3 years ago
7

PLEASE HELP ME ASAP!!!

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

b

Step-by-step explanation:

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Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

4 0
1 year ago
Jamie drives to the dance to pick up his younger brother Mike. Because of the dance's
Vika [28.1K]

Answer:

Because of traffic, she averaged only 15 miles per hour on the way there but ... If the total travel time was 2 hours how long does it take her to drive to ...

Step-by-step explanation:

5 0
2 years ago
Solve for x give answer as radicals (roots)
skelet666 [1.2K]

Answer:

x = 15

Step-by-step explanation:

Use pythagorean theorem: a^{2} +b^{2} = c^{2}

8^{2} +x^{2} =17^{2} \\ 64 + x^{2} = 289 \\\\x^{2} = 289 - 64\\x^{2} = 225\\x = 15

8 0
3 years ago
Help pls and thank you!!!
max2010maxim [7]

Answer:

Consistent and independent

Step-by-step explanation:

The only touch at one point and they are not the same line and are not parallel

5 0
2 years ago
Maria's book is longer than Brandon S. The
Vlad1618 [11]

Let the length of maria's book be a and that of Brandon's be b.

So, by the question,

the difference in length of books is 56

i.e. a-b=56------(1)

and the length of books all together is 348

i.e. a+b=348------(2)

Adding (1) and (2);

(a-b)+(a+b)=56+348

or, a-b+a+b=404

or, 2a=404

or, a=202

substitutting the value of a in (2),

202+b=348

or, b=146

therefore, the length of Maria's book is 202

and the length of Brandon's book is 146.

6 0
2 years ago
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