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2 answers:
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Answer:
statistic value t= 5.43
p-value: < 0.00001.
Step-by-step explanation:
Hello!
To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.
The study variable is:
X: Max. penetration of a steel conduit.
The data of the sample
n= 45
sample mean X[bar]= 53.4
sample standard deviation S= 4.2
The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50
The hypothesis is:
H₀: μ ≤ 50
H₁: μ > 50
α: 0.05
To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.
Under the null hypothesis, the critical region and the p-value are one-tailed.
Critical value:
Rejection rule:
Reject the null hypothesis when t ≥ 1.68
t=
t= 5.43
The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.
p-value:
P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.
The p-value is less than α so the decision is to reject the null hypothesis.
Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.
I hope it helps!
Answer:
She sell <u>2.075 kilograms</u> of pears at the farmer's market.
Step-by-step explanation:
<u><em>There is a mistake in the question some data is missing, so the correct question is below: </em></u>
<em>A farmer sells 8.3 kg of apples and pears at the farmer's market. 3 /4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?</em>
Now, to find the kilograms of pears.
Total weight of apples and pears = 8.3 kg.
Weight of apples = of 8.3 kg.
So, to get the weight of apples:
Thus, the weight of apples = 6.225 kg.
Now, to get the weight of pears we subtract the weight of apples from the total weight of apples and pears:
Therefore, she sell 2.075 kilograms of pears at the farmer's market.
Easily, take the square root of the number in the right side to find the radius
is the answer