Answer: We will reject the null hypothesis.
Step-by-step explanation:
Since we have given that
Mean μ = 71.5 lbs
Standard deviation σ = 7.5 lbs
So, the hypothesis are given below:

Since α = 5% level of significance = 0.05
So, there is two tail test.
Critical values of z are 1.96 and -1.96.
So, we will reject H₀ if z<-1.96 or z>1.96
So, first we will find the value of z.

According to test statistic approach:
Since z >1.96
as 4.39>1.96
So, we will reject the null hypothesis.
The <u>standard deviation</u> is a measure of dispersion that is used in constructing confidence intervals for the mean and in evaluating research hypotheses.
In statistics, the same old deviation is a degree of the amount of variation or dispersion of a hard and fast of values. A low well-known deviation suggests that the values tend to be close to the suggested of the set, while an excessive widespread deviation shows that the values are spread out over a much broader range.
It tells you, in common, how some distance every rating lies from the suggestion. In everyday distributions, a high well-known deviation approach that values are typically far from the implied, while a low popular deviation suggests that values are clustered close to the mean.
Fashionable deviation tells you ways to unfold out the statistics is. It is a degree of the way some distance each location cost is from the suggest. In any distribution, about ninety-five% of values may be inside 2 preferred deviations of the suggested.
Learn more about standard deviation here: brainly.com/question/475676
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Answer:

Step-by-step explanation:
Given,
, solve for x.
Multiply both sides by 2


Add x to both sides

