Answer:
Step-by-step explanation:
Hello!
To determine whether boys excel in math classes compared to girls, two random samples were collected:
Sample 1
X₁: score achieved by a boy in calculus
n₁= 15
X[bar]₁= 82.3%
S₁= 5.6%
Sample 2
X₂: score obtained by a girl in calculus
n₂= 12
X[bar]₂= 81.2%
S₂= 6.7%
To estimate a confidence interval for the difference between the average percentages of boys and girls in calculus, it's essential that both variables come from normally distributed populations.
For utilizing a pooled variance t-test, it is also required that the population variances, though unknown, are assumed to be equal.
The confidence interval can then be calculated with:
[(X[bar]_1 - X[bar]₂) ±
*
]


[(82.3 - 81.2) ± 1.708 * (6.11 *
]
[-2.94; 5.14]
Using a 90% confidence level, the interval [-2.94; 5.14] is expected to encompass the true difference between the average percentages achieved by boys and girls in calculus.
I hope this is of assistance!
Response:
Resort A experiences a more uniform snowfall, indicating less fluctuation. In contrast, Resort B has a greater median snowfall and a higher interquartile range, making it likely for Kevin to encounter better snowfall conditions there.
Thanks:) I just completed it edg
Detailed explanation:
The conditional probabilities for X equaling 1, 2, and 3 are 0.7333 (73.33%), 0.25 (25%), and 0.0167 (1.67%) respectively.
Answer:
78/4
Step-by-step explanation:
this seems correct
Answer:
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Step-by-step explanation:
1. Convert 1/4 into eighths to be able to subtract it from 5/8.
1/4 x 2 = 2/8
2. Deduct 2/8 from 5/8.
5/8 - 2/8 = 3/8
Daniel consumed 2/8 of the remaining pie, and now there are 3/8 left.