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ser-zykov [4K]
3 years ago
11

A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample

was 12.2 MPH and the standard deviation of the sample was 2.4. What is the 95% confidence interval for the true mean speed of thunderstorms?
Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}

Where, \overline{x} is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

CI=12.2\pm 1.96\frac{2.4}{\sqrt{10}}

CI=12.2\pm 1.487535

CI=12.2\pm 1.488

CI=[12.2-1.488, 12.2+1.488]

CI=[10.712, 13.688]

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

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Lera25 [3.4K]

a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,

6! = 6 * 5

= 30 * 4

= 360 * 2 = 720 possible ways to order 6 people in a row

b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.

5! = 5 * 4

= 20 * 3

= 120 * 1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.

In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )

c. With each husband on the left, there are 3 people left, all women, that we have to consider here.

3!  = 3 * 2 6 ways to arrange 3 couples in a row, the husband always to the left

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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3 years ago
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Reil [10]
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3 years ago
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Answer:

I belive it's $703.13

Step-by-step explanation:

She worked for 40 hrs which will give her, her normal pay. You do 450/40 to get 11.25. So her normal pay is $11.25. Then it says she earns 1.5 times the normal amount, so you would do 11.25 * 1.5. That equals 16.875. so her pay for every hour after 40. 55-40=15. That means she will have 15 hours where she gets 1.5 times her normal pay. So you do 16.875 * 15=253.125. She gets $253.125 for her extra 15 hours of work. Next, you need to add the total amount earned for the 40 hours. 450+253.125=703.125. Her total for the week she worked 55 hours she earns $703.13.

I hope this makes sence and helps. ( * means multiply)

6 0
3 years ago
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