The produce manager at a grocery store claims that Granny Smith apples weight a mean of 4 ounces. (FYI: Granny Smith apples are the green ones not that it matters!) You are a quality control representative and are testing to see if the claim is reasonable or not.
The data below represent a POPULATION of scores from which you are to take a SAMPLE. Your sample size will be ten (10) apples. Your task is to take a sample of 10 scores to test the null hypothesis that the population mean is 4 ounces (Ho: µ = 4) against the alternative hypothesis that the population mean is not 4 ounces (Ha: µ ? 4). The “alpha” value (i.e., significance level) will be usual+0 0.05. Note that this problem relates to Chapter 11 in our text!
On this assignment you DO NOT HAVE TO SHOW COMPUTATIONS! BUT DO SHOW THE VALUE OF tobt and tcrit. AND WRITE A ONE SENTENCE CONCLUSION
1. Write one sentence indicating which apples were chosen chose the data (you must use a random sample using the random numbers generator at the website below). For example, you can say that the random numbers generator picked the following 10 numbers: 1, 4, 6, 21, 29, 30, 35, 50, 74, 92, 94 (this is what I got when using the random numbers generator just before writing this paragraph). So I would use the 1st first apple, the 4th apple, the 6th apple, and so on. These three apples weigh 3.3, 3.8, and 3.3 oz. respectively.
2. Show the raw data that make up your sample (please put the data in sequence – high to low -thank you!)
3. Show the tcrit and write a conclusion — verbally and statistically (don’t forget the p -value!)
The hint below is a similar problem I did with a sample of 10 grapefruit, the manager claiming that the mean of the population of grapefruit is 16 ounces.
NOTE THAT I WILL BE ABLE TO TELL IF YOUR CALCULATIONS ARE CORRECT FOR tobt
Also, be reminded that the real population of apples would be extremely large! There would be thousands — I only listed 100 numbers below as the “population.” From the 100 you take 10 (and only 10). Again, use a random numbers generator to choose an unbiased sample!
The random numbers generator can be found at:
for this assignment, you need to generate 1 set with 10 unique random integers. Each integer should contain a value between 1 and 100 and each represent one of the apples of the 100 in the population.
Here are the data — these data represent the weights in ounces of the population of Granny Smith apples, each number representing the weight of one apple in ounces.
3.3 4.4 3.5 3.8
3.6 3.3 3.0 3.4
3.2 3.2 3.8 3.5
3.9 4.4 3.8 5.2
4.5 4.4 4.4 4.2
4.6 4.2 4,0 4.0
4.2 4.4 4.3 4.2
4.0 4.4 4.7 4.2
4.0 4.4 4.4 5.4
3.9 4.3 4.2 4.1
4.0 4.4 4.3 4.9
3.7 4.2 4.4 4.4
4.4 4.4 3.8 4.0
4.4 4.2 4.1 5.5
4.4 5.2 4.2 4.6
4.2 3.8 4.0 4.5
4.0 4.7 4.7 4.2
3.8 4.2 4.0 4.0
4.7 3.9 4.0 4.7
4.5 4.4 4.6 4.5
4.3 4.5 3.9 4.3
4.8 4.2 4.2 4.3
3.9 4.5 3.4 4.8
3.9 4.6 4.4 4.4
4.6 4.2 4.0 3.7
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