Four times the reciprocal of a number equal 2 times the reciprocal of 8
1 answer:
You might be interested in
Answer:
P-value = 0.1515
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 2.2
Sample mean, = 2
Sample size, n = 52
Alpha, α = 0.05
Population standard deviation, σ = 1.4
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value from the normal standard table.
P-value = 0.1515
Answer:
The warranty period should be of 35 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months
This means that
What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned?
The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.
Rounding to the nearest integer, 35.
The warranty period should be of 35 months.