X^2-11x+30=2 Solve using quadratic formula or factoring
1 answer:
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Answer:
1. Statistics
2. Sample
3. Population
4. Variable
5. Data
6. Parameter
Step-by-step explanation:
1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50
2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50
3. Population is the group of people from which the sample was taken - All people who drive on Highway 50
4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway
5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove
6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50
Answer:
The probability that the sample mean weight will be more than 262 lb is 0.0047.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the weight of National Football League (NFL) players now.
The mean weight is, <em>μ</em> = 252.8 lb.
The standard deviation of the weights is, <em>σ</em> = 25 lb.
A random sample of <em>n</em> = 50 NFL players are selected.
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
The sample of players selected is quite large, i.e. <em>n</em> = 50 > 30, so the central limit theorem can be used to approximate the distribution of sample means.
Compute the probability that the sample mean weight will be more than 262 lb as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean weight will be more than 262 lb is 0.0047.