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:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ 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:

$\overline{x} - t\frac{s}{\sqrt{n}} = 12.2 - 2.0106\frac{1.6}{\sqrt{49}} = 11.7$

$\overline{x} + t\frac{s}{\sqrt{n}} = 12.2 + 2.0106\frac{1.6}{\sqrt{49}} = 12.7$

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

4 0

2 years ago

HELP ME WITH THIS PLSSSSS!!!<br> SAT MATH

Art [367]

Answer:

Explanation:

Multiply each side by ax-2 to remove the fraction to continue solving. Use the FOIL method to solve (-8x-2)(ax-2). Continue to solve the equation.

B is your answer!

8 0

2 years ago

16. When a text is adding tension to a story, there is...

kykrilka [37]

Answer:

When you add tension to a story, you give the audience something to care about, and you get them asking questions. The tension should be the force that moves your main character(s) to change. Yes, tension might be uncomfortable. It might even be painful, but there is a good reason to add it.

Explanation:

7 0

2 years ago

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