Final answer:
The interval likely to contain almost all of the blood pressure values in the sample is 110 to 130. If the standard deviation is 0, all data values are identical. The type of sampling used is systematic sampling. Salaries of college professors are at the ratio level of measurement. The S-number summary for the data represents the age of the mothers. The summary includes the minimum, quartiles, and maximum values. The test scores have a mean of 67.5, a median of 68, a range of 68, a standard deviation of 20.65, and a coefficient of variation of 30.6%. The minimum percentage of gasoline stations with prices between $2.94 and $3.18 is 98.93%. The 67-inch man is relatively taller than the 62-inch woman. The distribution of travel time to work is negatively skewed and unimodal.
Step-by-step explanation:
The interval that is likely to contain almost all (over 99%) of the blood pressure values in the sample is 110 to 130.
If the standard deviation for a set of data is 0, it means that all of the data values are identical.
The type of sampling used when a pollster uses a computer to generate 500 numbers and interviews the voters corresponding to those numbers is systematic sampling.
The appropriate level of measurement for salaries of college professors is ratio.
The S-number summary for the given data representing the age of the mother at the time of her first birth includes the minimum value (16), the quartiles (Q1 = 20, Q2 = 24, Q3 = 25), and the maximum value (35).
The test scores of the 40 students listed range from 30 to 98. To find the mean, sum all the scores and divide by the number of students (40), which gives a mean of 67.5. The median is the middle value, which is 68. The range is the difference between the maximum (98) and minimum (30) values, which is 68. The standard deviation is a measure of how spread out the scores are and is calculated to be approximately 20.65. The coefficient of variation, a measure of the relative variability of the scores, is approximately 0.306 or 30.6%.
To find the minimum percentage of gasoline stations that had prices between $2.94 and $3.18, you can use the z-score formula. The z-scores for the given prices are calculated to be z1 = -2.3333 and z2 = 2.3333. Using a z-table, you can find the area under the normal distribution curve between these z-scores to be approximately 0.9893. Therefore, the minimum percentage of gasoline stations that had prices between $2.94 and $3.18 is approximately 98.93%.
To determine who is relatively taller, a 67-inch man or a 62-inch woman, you can calculate the z-scores for their heights using the given means and standard deviations. The z-score for the 67-inch man is z = (67 - 69.6) / 3.0 = -0.8667, and the z-score for the 62-inch woman is z = (62 - 64.1) / 3.8 = -0.5526. Comparing the z-scores, the 67-inch man is relatively taller.
The distribution of data representing travel time to work is negatively skewed. The distribution of data is unimodal.