A normal distribution has a mean of 101 and a standard deviation of 3.4. What is the z-score of 105? Enter your answer, rounded
1 answer:
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and is the standard deviation
In this case
Then the z-score is
You might be interested in
Answer:
Option D) Yes, because the test statistic is -2.01
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 30 pound
Sample mean, = 29.1 pounds
Sample size, n = 20
Alpha, α = 0.05
Sample standard deviation, s = 2 pounds
First, we design the null and the alternate hypothesis
We use one-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.
Option D) Yes, because the test statistic is -2.01