Question

question 9
0/2 pts 3 9 details
the time to complete an exam is approximately normal
with a mean of 49 minutes and a standard deviation of 8
minutes.
the bell curve below represents the distribution for testing
times. the scale on the horizontal axis is equal to the
standard deviation. fill in the indicated boxes.
μ = 49
σ = 8
submit question

Explanation:

Step1: Calculate $\mu - 3\sigma$

Substitute $\mu = 49$ and $\sigma=8$ into $\mu - 3\sigma$.
$$49-3\times8=49 - 24=25$$

Step2: Calculate $\mu - 2\sigma$

Substitute $\mu = 49$ and $\sigma = 8$ into $\mu - 2\sigma$.
$$49-2\times8=49-16 = 33$$

Step3: Calculate $\mu-\sigma$

Substitute $\mu = 49$ and $\sigma=8$ into $\mu-\sigma$.
$$49 - 8=41$$

Step4: $\mu$ is given as $49$

Step5: Calculate $\mu+\sigma$

Substitute $\mu = 49$ and $\sigma = 8$ into $\mu+\sigma$.
$$49+8=57$$

Step6: Calculate $\mu + 2\sigma$

Substitute $\mu = 49$ and $\sigma=8$ into $\mu + 2\sigma$.
$$49+2\times8=49 + 16=65$$

Step7: Calculate $\mu+3\sigma$

Substitute $\mu = 49$ and $\sigma = 8$ into $\mu+3\sigma$.
$$49+3\times8=49+24 = 73$$

Answer:

25, 33, 41, 49, 57, 65, 73