Question

13 fill in the blank 1.25 points what percentage of lsat scores will be outside the interval of 125 to 175? step 4: report the answer. please interpret the answer by filling in the blanks. the percentage of lsat scores that are choose your answer... and choose your answer... in a normal distribution with a μ = choose your answer... (σ = choose your answer... ), is choose your answer... %.

Explanation:

Step1: Assume normal - distribution properties

Assume LSAT scores are normally distributed with mean $\mu$ and standard deviation $\sigma$. Usually, for a normal distribution, about 99.7% of the data lies within 3 standard - deviations of the mean ($\mu\pm3\sigma$). First, we need to standardize the values 125 and 175 using the formula $z=\frac{x - \mu}{\sigma}$. But if we assume a typical normal - distribution property where the range 125 - 175 represents $\mu\pm3\sigma$ (a common assumption if no other information about $\mu$ and $\sigma$ is given).

Step2: Calculate the percentage outside the interval

The percentage of data within the interval 125 to 175 is 99.7% if it is $\mu\pm3\sigma$. The percentage of data outside this interval is $100 - 99.7=0.3\%$.

Answer:

The percentage of LSAT scores that are less than 125 and greater than 175, in a normal distribution with a $\mu$ (assumed mean) and $\sigma$ (assumed standard - deviation) such that 125 = $\mu - 3\sigma$ and 175 = $\mu+3\sigma$, is 0.3%.