1. To encourage public transportation, Avery wants to give some friends envelopes with bus tickets and subway tickets in them. I
1 answer:
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You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:
To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.
In this case, to find the GCF, you need to:
- Decompose the number into their Prime Factors:
- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:
Therefore, by dividing the numerator and the denominator by 5, you get:
Hence, the answer is:
Answer:
P-value = 0.0368
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean, = 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use One-tailed(right) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.
P-value can be calculated with the standard normal table.
P-value = 0.0368
P-value is lower than the significance level.