According to internal testing done by the HardCore Apple Company, the mean firmness of their apples, as measured on the Mohs hardness scale is 7.0, with a standard deviation of 0.3.
a) If the claim by Hardcore is true, what is the mean of the sampling distribution of 
for samples of size n = 16?
b) If the claim by HardCore is true, what is the standard deviation of the sampling distribution of 
for samples of size n = 16?
c) If the distribution of HardCore firmness is approximately normal, and their claim about the mean firmness is true, what is the probability that the mean firmness of a random sample of size n = 16 will be less than 6.9?
Definitions:
Volatile Organic Compounds
Organic chemicals that easily vaporize at room temperature, can be sources of air pollution, and are often found in paints, cleaning supplies, and building materials.
Sunlight
The natural light emitted by the Sun, essential for photosynthesis in plants and influencing Earth's climate and weather.
Cold Front
A leading edge of a cooler mass of air, replacing at ground level a warmer mass of air, which can bring about significant changes in weather.
Onshore Breeze
A wind that blows from the sea towards the land, typically occurring during the day due to differential heating of land and sea surfaces.
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