Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
Answer:
40
Step-by-step explanation:
Answer: c. sampling error
Step-by-step explanation:
- A population parameter is a number that is evaluated to describe the whole population . For example : Population mean , Population standard deviation etc.
- A sample statistic gives the estimate value of the population parameter. For example : Sample mean , sample proportion.
Since, the sample is a subset of population , so there are chances for unavoidable variation in sample mean from the population mean that varies from sample to sample .
This variation is known as sampling error.
∴ The difference between the value of the sample statistic and the value of the corresponding population parameter is called the sampling error .
Hence,the correct answer is c. sampling error .
Answer:
see the explanation
Step-by-step explanation:
In this problem
I will assume that the total amount required for the trip is $1,200
so
Let
x ----> the number of weeks
we know that
The number of weeks multiplied by $75 plus $300 must be at least $1,200
In this context, the term "at least" means "greater than or equal to"
so
The linear inequality that represent this problem is
Solve for x
subtract 300 both sides
Divide by 75 both sides
therefore
The minimum number of weeks you need to save is 12
