Answer :
As there is sufficient evidence to conclude that the population mean weight is at least 16 ounces.
What is standard deviation ?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.
The following null and alternative hypotheses need to be tested
H0 : µ = 16
Hα : µ < 16
This corresponds to a left-tailed test , for which a z-test for one mean, with known population standard deviation will be used.
Based on the information provided, the significance level is α = 0.1, and the critical value for the left-tailed test is [tex]Z_{c}[/tex] = -1.28
The rejection region for this left-tailed test is R = {z : z < -1.282}
The z-statistics is computed as follow
[tex]z = \frac{X - µ _{0} }{sigma / \sqrt{n} }[/tex]
= (15.84 - 16) / (0.4 / √16)
= -1.6
To learn more about standard deviation from the given link
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