Two of the sides of a triangle measure 20 inches and 30 inches. Which choice is a possible length of the third side?
2 answers:
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Answer:
e. 0.0072
Step-by-step explanation:
We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .
Let Z = ~ N(0,1) where, Xbar = mean contents of six randomly
selected bottles
n = sample size i.e. 6
So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)
P(Xbar < 295) = P( <
) = P(Z < -2.45) = P(Z > 2.45)
Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .
Therefore, option e is correct .
Answer:
Null hypothesis
Alternative hypothesis
Step-by-step explanation:
Consider the provided information.
The shower by an adult is 5 minutes.
The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.
We need to determine the appropriate null and alternative hypotheses.
A null hypothesis is there is no statistical significance between the two variables.
An alternative hypothesis is there is a statistically significant relationship between two variables.
Therefore the required null and alternative hypothesis are:
Null hypothesis
Alternative hypothesis