Question

The probability that a z-score will be between -1.6 and -1.06 is enter your response here. (

Answer 1

The probability that a z-score will be between -1.6 and -1.06 is calculated by finding the areas to the left of each z-score from a z-table and subtracting one from the other.

Step-by-step explanation:

The student is asking about the probability that a z-score will fall between -1.6 and -1.06.

To find this, we use a z-table to determine the area under the normal curve to the left of each z-score, and then calculate the difference between these two areas.

Let's find the areas for the specific z-scores:

Area to the left of -1.6

Area to the left of -1.06

Subtract the smaller area from the larger to find the area between -1.6 and -1.06, which represents the probability of a z-score falling in this range.

Alternatively, you can use software or a calculator with statistical functions to directly compute the probability between two z-scores.

Answer 2

The probability that a z-score falls between -1.6 and -1.06 is approximately 0.0898 or 8.98%.

To find the probability that a z-score falls between -1.6 and -1.06, you can use a standard normal distribution table or a calculator that provides cumulative probabilities for the standard normal distribution.

The cumulative probability from a z-score of -1.6 to -1.06 can be calculated as follows:

`\[ P(-1.6 < Z < -1.06) = P(Z < -1.06) - P(Z < -1.6) \]`

Using a standard normal distribution table or calculator:

`\[ P(Z < -1.06) \approx 0.1446 \]`

`\[ P(Z < -1.6) \approx 0.0548 \]`

Therefore,

`\[ P(-1.6 < Z < -1.06) \approx 0.1446 - 0.0548 \approx 0.0898 \]`

So,The answer is 0.0898 or 8.98%.