Answer:
The p-value for the test is 0.0459.
Explanation:
The question involves a chi-squared test whose p-value is to be determined.
H₀: σ² ≤ 0.027 (null hypothesis)
H₁: σ² > 0.027 (alternative hypothesis)
Standard deviation = s = 0.2
Hence, s² = (0.2)² = 0.04
Sample size = n = 30
Degree of freedom = n - 1 = 30 - 1 = 29
Significance level = 0.05
Test statistic: X² = (n - 1)s² / σ²
= (30 - 1) x 0.04 / 0.027
= 42.9629
The p-value can now be determined using the Excel function:
CHISQ.DIST.RT(42.9629,29) = 0.0459
Hence, the p-value for the test is 0.0459.
Hello!
The problem has asked that we write a
point-slope
equation of the line in the image above.
Point-Slope Form uses the following formula:
y –
= m(x –
)
In this case, M represents the
slope while
and
represent the
corresponding X and Y values of any given point on the line.
We are given that the slope of the line is -
. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that
is equal to
6 and
is equal to
2. Now insert all known values into the point-slope formula above:
y – 2 = -
(x – 6)
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that
the answer is C.
I hope this helps!
Mark will swim 182.88 meters
Hmm this is a very challenging question good luck finding someone who can answer it lol