Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean

The standard deviation of the sampling distribution is given by:

b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
Answer:

Step-by-step explanation:
*photo attached*
Answer:
115-49=x
x= 66°
Step-by-step explanation:
Answer:
4140
Step-by-step explanation:
The formula for sum of interior angle is (n-2)180
so since the number of side is 25. substitute 25 in place of n
which is (25-2)180. which is 4140
Volume of a sphere is 4/3 πr³
Volume of a ball = 3/4 π (24 ÷ 2)³
Volume of a ball = 3/4 π (12)³
Volume of a ball = 7238.23 cm³
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Answer: Volume of the ball = 7238.23 cm³
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