Fruit-O-Rama sells dried pineapple for 0.25 per ounce. Mags spent a total of 2.65 on pineapple. How much ounces did she buy?
2 answers:
Answer
Find out the how much ounces did she buy .
To proof
let us assume that the number of ounces did she buy be x .
As given
Fruit-O-Rama sells dried pineapple for $0.25 per ounce i.e the price of each pineapple is $0.25 ounce .
Mags spent a total of $2.65 on pineapple
than the equation becomes
x × 0.25 = 2.65
x = 10 .6 ounce
therefore 10 .6 ounce she buys .
Hence proved
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Answer:
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the approximate probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true?
This is 1 subtracted by the pvalue of Z when X = 3.1. So
By the Central Limit Theorem
has a pvalue of 1.
1 - 1 = 0
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.