Question

question #5
a farmer is estimating the average weight of the apples he sells. he collects a sample of apples and the mean weight of the sample of apples is 6.7 ounces. if the margin of error is 0.8 ounces, write a confidence interval for the true mean weight of the apples the farmer sells.
5.7 - 8.5 ounces
6.1 - 8.1 ounces
5.9 - 7.5 ounces
6.5 - 7.7 ounces
question #6
what is the missing value of the bell - curve below?
68.2 74.6 81.0 87.4? 100.2 106.6
94.6
96.2
94.2
93.8

Explanation:

Question #5

Step1: Recall confidence - interval formula

The confidence interval for the population mean $\mu$ is given by $\bar{x}-E<\mu <\bar{x} + E$, where $\bar{x}$ is the sample mean and $E$ is the margin of error.

Step2: Identify given values

We are given that $\bar{x}=6.7$ ounces and $E = 0.8$ ounces.

Step3: Calculate the lower and upper bounds

The lower - bound is $\bar{x}-E=6.7 - 0.8=5.9$ ounces.
The upper - bound is $\bar{x}+E=6.7 + 0.8 = 7.5$ ounces.

Step1: Note the property of a normal distribution

In a normal distribution (bell - curve), the data is symmetric about the mean. The values are evenly spaced. The common difference between consecutive values is $74.6−68.2 = 6.4$.

Step2: Calculate the missing value

The missing value is $87.4+6.4 = 93.8$.

Answer:

C. 5.9 - 7.5 ounces

Question #6