A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which ex
2 answers:
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Answer:
a. Descriptive statistics for the sample.
n= 9
mean X[bar]= 20.36
median Me= 20.30
min: 19.70
max: 21.40
standad deviation S= 0.61
b. 95% Confidence interval [19.88; 20.83]
c. Decision: Support H₀
Step-by-step explanation:
Hello!
I don't have excel so I cannot install PHstat, I've used a statistic software called Infostat for the calculations.
There was a random sample of 9 bottles of shampoo taken to test if the process is operating correctly. If it is, the bottles should weight on average 20 ounces (this would be our study parameter)
The study variable is X: the weight of a bottle of shampoo.
X~N(μ;σ²)
a.
Descriptive statistics for the sample.
n= 9
mean X[bar]= 20.36
median Me= 20.30
min: 19.70
max: 21.40
standad deviation S= 0.61
b. 95% Confidence interval.
Since the variable has a normal distribution and the population variance is unknown, the statistic to use to construct this interval is the Students t:
X[bar] ± * (S/√n)
20.36 ± * (0.61/√9)
[19.88; 20.83]
c. You have to test the hypothesis that the production is operating correctly, if it is so, then:
H₀: μ = 20
H₁: μ ≠ 20
α: 0.05
The statistic value is t= 1.74
p-value: 0.1198
When you use the p-value to decide on a statistical hypothesis, you should always contrast it with the level of significance using the following rule:
If p-value ≤ α, then you reject the null hypothesis.
If p-value > α, then you do not reject the null hypothesis.
Since the p-value is greater than the significance level, you do not reject the null hypothesis. This means that the average weight of the shampoo bottles is 20 ounces, i.e. the process is operating correctly.
I hope it helps!
Answer:
<h3>The missing value in the solution to the equation is <u>6</u>.</h3><h3>So, the complete solution is (6, -4).</h3>Step-by-step explanation:
Given:
6x+7y=4x+4y.
( ,-4)
Now, to complete the missing value in the solution to the equation.
<em>As, the equation is:</em>
<em /><em />
<em>And, the solution is:</em>
Now, solving the equation by putting the value of :
<em>Adding both sides by 28 we get:</em>
<em /><em />
<em>Subtracting both sides by </em><em> we get:</em>
<em /><em />
<em>Dividing both sides by 2 we get:</em>
<u><em>Thus, the solution to the equation is (6, -4).</em></u>
Therefore, the missing value in the solution to the equation is <u>6</u>.