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mylen [45]
2 years ago
9

After extensive measurements of the time necessary to complete the first homework assignment, a teacher determines that there is

a population mean of 100 and a stardard deviation of 20. If she samples a class of 60 students and calculates a mean of 96 minutes, what is the z statistic (round to the nearest 2 decimal places, don't forget a negative sign if necessary)?
Mathematics
1 answer:
MaRussiya [10]2 years ago
4 0

Answer: -1.55

Step-by-step explanation:

Given : Mean : \mu=100

Standard deviation : \sigma=20

Sample size : n=60

Sample mean : \overline{x}=96

The test statistic for the population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{96-100}{\dfrac{20}{\sqrt{60}}}=-1.54919333848\approx-1.55

Hence, the value of z statistic = -1.55

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1.2(4x – 1) = 8x – 2
zysi [14]

6x

Step-by-step explanation:

1.2(4x-1)=8x-2=6x

3 0
2 years ago
The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability
slega [8]

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

6 0
3 years ago
Billy jogs 4/5 kilometers every minute how many kilometers does he jog after 6 1/8 minutes
finlep [7]

Answer:

He jogs 4 9/10 kilometers in 6 1/8 minutes

Step-by-step explanation:

If you multiple 4/5 time 6 1/8 you'll get 4.9, which in fraction form is 4 9/10.

6 0
3 years ago
Out of 230 students, 11% chose gymnastics as their favorite sport. How many students does 11% represent? *
joja [24]

Answer:

25

Step-by-step explanation:

11\% \: of \: 230 \\  \\  =  \frac{11}{100}  \times 230 \\  \\  = 0.11 \times 230 \\  \\  = 25.3 \\   = 25

Hence 11% represents 25 students.

5 0
3 years ago
What it the x and y intercept of y=2x^2+3x+1
babunello [35]

x = -1

y = 1

To find this, input the equation into a graphing calculator, whether online or an actual one, and you have two options:

1 - Search for the points in which the line crosses the x and or y axis.

2 - Hit 2nd Graph to access the table and find when x and y equal zero.

Hope this helps!

5 0
2 years ago
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