I just took my first sat practice test and scored a 1310, I’ve only been studying for a week, but I still feel a little disappoi
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Answer:
0.2776
Explanation:
Mean = 15000, SD = 1500
We need to find Cumulative probability: P(X > 15884)
First we need to convert it into normal distribution.
From the attached file, we can see the shaded area we are looking for.
For conversion as follow;
Next to find Z = = 0.59
now we have converted to normal distribution and found the value of Z, we need to find the probability P(X > 15884).
P(X > 15884) = P(Z > 0.59).
From the normal distribution table at Z= 0.59, and greater than 0.59, Probability = 0.2776.
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).
<h3>What is a t-distribution confidence interval?</h3>The confidence interval is:
In which:
is the sample mean.
- t is the critical value.
- n is the sample size.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed <em>95% confidence interval</em>, with 49 - 1 = <em>48 df</em>, is t = 2.0106.
Hence:
The 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).
More can be learned about the t-distribution at brainly.com/question/16162795