The annual earnings (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to (a) find the sample mean, (b) find the sample standard deviation, and (c) construct a 98% confidence interval for the population mean. 99,622 80,705 77,853 67,971 51,119 67,478 93,716 66,516 D 78,986 74,124 44,855 86,376 61,295 57,675 55,113 78,511 47,643 98,479 80,850 92,061 63,978 74,498 50,671 60,987 91,347 83,543 79,750 63,574 74,265 56,945 47,259 89,787 75,755 61,528 82,744 (a) Find the sample mean. x = (Type an integer or decimal rounded to two decimal places as needed.) (b) Find the sample standard deviation. s = (Type an integer or decimal rounded to two decimal places as needed.) (c) Construct a 98% confidence interval for the population mean. (Round to the nearest integer as needed.)

The table below summarizes the number of hours a sample of college students spent watching television in the past week. Hours Frequency 10 - 12 4 13 - 15 12 16 - 18 20 19 - 21 14 Find the standard deviation.

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Use the magnitudes​ (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the​ range, variance, and standard deviation. If another​ value, 8.00​, is added to those listed in the data​ set, do the measures of variation change​ much?  3.30 2.77 2.80 1.96 1.69 2.54   2.43 3.44 3.92 1.58 2.87 1.63   2.56 3.95 2.50 2.44 1.82 2.19   2.44 2.99 2.92 2.35 1.98 3.06   2.78 3.86 2.95 2.07 1.86 2.36   2.37 3.46 3.45 1.54 2.54 1.49   2.22 3.06 2.27 3.20 1.96 1.91   2.40 2.95 2.61 1.49 2.16 2.33   1.91 2.70 2.92 1.80 3.66 2.69   1.43 3.60 3.13 2.56 1.54 1.41   2.83 2.85 2.20 1.68 3.18 1.38   1.73 2.37 1.15 2.35 2.46 1.81   2.01 3.00 1.94 2.42 1.85 2.24   2.35 3.22 3.97 2.10 1.48 2.31   2.31 2.62 2.55 2.20 2.77 2.46   2.69 3.57 2.84 2.75 3.26 1.74   4.72 3.23 2.36 2.00 3.83 2.41   2.88 2.67 2.32 2.80 2.80 2.40   3.41 2.34 1.49 2.41 2.45 2.50   2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data​ value, the range is 3.573.57. ​(Type an integer or…

Body TemperaturesThe body temperatures (in degrees Fahrenheit) have been recorded for a sample of 130 healthy adults - 65 males and 65 females (Shoemaker, 1996). The sample mean body temperature for males is 98.394 degrees Fahrenheit, and the sample standard deviation for males is 0.743 degrees Fahrenheit. The sample mean body temperature for females is 98.105 degrees Fahrenheit, and the sample standard deviation for females is 0.699 degrees Fahrenheit. a. produce a 95% confidence interval for the population mean body temperature of a healthy male.  Round your answers to three decimal places. (___, ___) b. produce a 95% confidence interval for the population mean body temperature of a healthy female.  Round your answers to three decimal places. (___, ___) d d. Report the half-width of these two intervals.  Round to 3 decimal places. Half width for men:  ____ Half width for women:  ___

Find the mean, median, standard deviation, and variance of the sample data. Also, from the original data set, find the values of the range and sample size. Identify the modal class (the one with the highest frequency). The statistics should be rounded properly- to the nearest hundredth