Question

In: Statistics and Probability

Sandra recorded the amount of rainfall that fell in her backyard with a rain guage over...

Sandra recorded the amount of rainfall that fell in her backyard with a rain guage over the month of July every day there was precipitation. She is interested in knowing whether the average precipitation per day in June was more than or equal to what it was in July. She found the average precipitation per day in June was 17 mm/day. The following table gives the amount of rainfall that fell in July on days that there was non-zero rainfall.

Rainfall (mm/day)
17.76
17.42
15.09
19.24
20.63
20.82
19.22
17.00
15.13
19.49
16.56

Which of the following would be Sandra's Hypothesis test?

H₀: μ >17 and H_a: μ <17
H₀: μ =17 and H_a: μ < 17
H₀: μ =17 and H_a: μ ≥ 17
H₀: μ =17 and H_a: μ > 17

What is the correct distribution for this test?

t distribution
Normal Distribution
F distribution
χ² distribution

What are the degrees of freedom?

Calculate the sample mean

Calculate the sample variance

Calculate the test statistic

Assuming a signifigance level of α = 0.01, do we reject H₀?
Yes, we reject H₀
No, we fail to reject H₀

As though it was a two alternative test, what is the 99 % confidence interval of the average rainfall per day in July?

Upper bound:

Lower bound:

Expert Solution

orchestra answered 2 years ago

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