A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column i
2 answers:
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To determine if there is evidence suggesting a change in average height, we can conduct a right-tailed test and formulate both null and alternative hypotheses.
H₀ (null hypothesis): μ = 162.5
H₁ (alternative hypothesis): μ > 162.5
With two samples to analyze, we can calculate the z-score using the formula provided below.
In this formula, Z symbolizes the z-score, Χ denotes the new sample mean, μ indicates the theoretical average, δ represents the standard deviation, and n signifies the sample size. Based on the gathered values,
Assuming a significance level of α = 0.05. With a z-score of 2.77, we can reference the z-table to ascertain the p-value. This yields P(Z > 2.77) =.0028. Since our p-value is below α, we reject the null hypothesis, indicating that the average height of female freshman students has indeed shifted.
H₀ (null hypothesis): μ = 162.5
H₁ (alternative hypothesis): μ > 162.5
With two samples to analyze, we can calculate the z-score using the formula provided below.
In this formula, Z symbolizes the z-score, Χ denotes the new sample mean, μ indicates the theoretical average, δ represents the standard deviation, and n signifies the sample size. Based on the gathered values,
Assuming a significance level of α = 0.05. With a z-score of 2.77, we can reference the z-table to ascertain the p-value. This yields P(Z > 2.77) =.0028. Since our p-value is below α, we reject the null hypothesis, indicating that the average height of female freshman students has indeed shifted.
Response:
Step-by-step explanation:
We need to form an equation that illustrates the area that Felicia has covered, denoted as y, in relation to the number of tiles she utilized, represented by x.
Let x= Number of tiles
y=Area occupied by Felicia's tiles
The relationship between x and y is constant. Hence, it follows a direct proportion.
The equation for direct proportion is shown as
Where
k=The value of the ratio of x and y
x and y are variable factors
Here, we have k=9
Substituting the known values into the equation
leads us to
This represents the necessary equation depicting the area Felicia covered, y, in terms of the number of tiles utilized, x.