Assume that adults have iq scores that are normally distributed with a mean of ù=100 and a standard deviation of ó=15. Find the probability that a randomly selected adult has an iq less than 127. 13. The probability that a randomly selected adult has an iq less than 127 is ___ round to four decimal places

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Assume that adults have iq scores that are normally distributed with a mean of ù=100 and a standard deviation of ó=15. Find the probability that a randomly selected adult has an iq less than 127. 13. The probability that a randomly selected adult has an iq less than 127 is ___ round to four decimal places
This image is a Z-table, which is a statistical tool used to determine the probability of a statistic occurring below a specific value in a normal distribution. It is especially useful in hypothesis testing and finding confidence intervals.

The table is structured as follows:

- **Columns**: The top row represents the second decimal place of the Z-score, ranging from .00 to .09.

- **Rows**: The first column indicates the whole number and first decimal place of the Z-score, ranging from 0.0 to 3.5 and beyond.

- **Values**: Each cell within the table provides the cumulative probability for the corresponding Z-score. For example, a Z-score of 0.57 corresponds to a cumulative probability of 0.7157, which is located at the intersection of row 0.5 and column .07.

- **Common Critical Value**: At the bottom, it denotes instructions for frequently used Z-scores.

This Z-table is essential for statistical calculations involving the standard normal distribution, aiding in determining the likelihood of a random variable falling below a given Z-score.
Transcribed Image Text:This image is a Z-table, which is a statistical tool used to determine the probability of a statistic occurring below a specific value in a normal distribution. It is especially useful in hypothesis testing and finding confidence intervals. The table is structured as follows: - **Columns**: The top row represents the second decimal place of the Z-score, ranging from .00 to .09. - **Rows**: The first column indicates the whole number and first decimal place of the Z-score, ranging from 0.0 to 3.5 and beyond. - **Values**: Each cell within the table provides the cumulative probability for the corresponding Z-score. For example, a Z-score of 0.57 corresponds to a cumulative probability of 0.7157, which is located at the intersection of row 0.5 and column .07. - **Common Critical Value**: At the bottom, it denotes instructions for frequently used Z-scores. This Z-table is essential for statistical calculations involving the standard normal distribution, aiding in determining the likelihood of a random variable falling below a given Z-score.
This image displays a standard normal distribution (z) table. This table is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution. 

Each row corresponds to a range of z-values, and each column provides a specific decimal point extension to the z-value:

- **Left Column (z + .00):** This column shows the standard z-values ranging from -3.5 to -0.0.
  
- **Top Row (.00 to .09):** These columns represent the hundredths place of z-values.

For example, to find the probability associated with a z-value of -1.25:
1. Locate the row for -1.2.
2. Move across to the column under .05.
3. The value at this intersection is 0.1056, which is the probability that a z-value is less than -1.25 in a standard normal distribution.

The table values represent the cumulative probability from the left up to the z-value.
Transcribed Image Text:This image displays a standard normal distribution (z) table. This table is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution. Each row corresponds to a range of z-values, and each column provides a specific decimal point extension to the z-value: - **Left Column (z + .00):** This column shows the standard z-values ranging from -3.5 to -0.0. - **Top Row (.00 to .09):** These columns represent the hundredths place of z-values. For example, to find the probability associated with a z-value of -1.25: 1. Locate the row for -1.2. 2. Move across to the column under .05. 3. The value at this intersection is 0.1056, which is the probability that a z-value is less than -1.25 in a standard normal distribution. The table values represent the cumulative probability from the left up to the z-value.
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