A mother determines that her children watch television an average of ( SD) hr per day. Assuming these data are
normally distributed, what is the -score for children who watch television for 11 hr per day?
(A) .64
(B) .78
© .55
(D) .89

Ask by Jimenez Haynes. in the United States

Mar 24,2025

Question

A mother determines that her children watch television an average of ( SD) hr per day. Assuming these data are
normally distributed, what is the -score for children who watch television for 11 hr per day?
(A) .64
(B) .78
© .55
(D) .89

Ask by Jimenez Haynes. in the United States

Mar 24,2025

UpStudy AI · Accepted Answer

**Step 1.** Identify the given parameters: the mean, $$ \mu = 9.12 $$ hr, and the standard deviation, $$ \sigma = 3.43 $$ hr.

**Step 2.** Write the formula for the $$ z $$-score:
$$
z = \frac{x - \mu}{\sigma}
$$
where $$ x $$ is the value for which we want to find the $$ z $$-score.

**Step 3.** Substitute the given values into the formula with $$ x = 11 $$ hr:
$$
z = \frac{11 - 9.12}{3.43}
$$

**Step 4.** Compute the numerator:
$$
11 - 9.12 = 1.88
$$

**Step 5.** Divide by the standard deviation:
$$
z = \frac{1.88}{3.43} \approx 0.55
$$

**Step 6.** Conclusion: The $$ z $$-score for children who watch 11 hours of television per day is approximately $$ 0.55 $$.

Thus, the correct answer is **(C) $$ 0.55 $$**.
The $$ z $$-score for 11 hours of television per day is approximately 0.55.

A mother determines that her children watch television an average of ( SD) hr per day. Assuming these data are
normally distributed, what is the -score for children who watch television for 11 hr per day?
(A) .64
(B) .78
© .55
(D) .89

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A mother determines that her children watch television an average of ( SD) hr per day. Assuming these data are normally distributed, what is the -score for children who watch television for 11 hr per day? (A) .64 (B) .78 © .55 (D) .89

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Latest Statistics Questions

A mother determines that her children watch television an average of ( SD) hr per day. Assuming these data are
normally distributed, what is the -score for children who watch television for 11 hr per day?
(A) .64
(B) .78
© .55
(D) .89