Use the normal distribution calculator to calculate the z-value. Calculator z= : (area to the left of z) = = The area under the standard normal curve from zero to z is 0.4099 and z is positive. The value of z is: 0.5
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.Find the z-score that has 6.3% of the distribution's area to its left. The z score is __________. Round to two decimal places as needed.Find the z-scores for which 97% of the distribution's area lies between -z and z. Click to view page 1 of the table. Click to view page 2. of the table. The z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)
- Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area. z-2.410 A normal curve is over a horizontal z-axis and is centered at 0. Vertical line segments extend from the horizontal axis to the curve at negative 2.41 and 0. The area under the curve between negative 2.41 and 0 is shaded. The area of the shaded region is enter your response here.Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. z= -0.85 and z= 1.25 The area of the shaded region is __________ (Rounded to four decimal places as needed.)Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area. -2.14 The area of the shaded region is- (Round to four decimal places as needed.) es
- Find the z-scores for which 80% of the distribution's area lies between -z and z. Click to view page 1 of the table. Click to view page 2 of the table. The Z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) CIn each part, find the area under the standard normal curve that lies between the specified z-score, sketch a standard normal curve, and shade the area of interest. b. -2 and 2 c. - 3 and 3 a. - 1 and 1 a. Find the area under the standard normal curve that lies between - 1 and 1, sketch a standard normal curve, and shade the area of interest. The area under the standard normal curve that lies between - 1 and 1 is (Type an integer or decimal rounded to four decimal places as needed.)Use the table for area under the standard normal curve to find the area under the standard normal curve and above the interval [-1.8, -0.5] on the horizontal axis. Click the icon to view the area under the standard normal curve table. The area under the standard normal curve and above the interval [-1.8,-0.5] on the horizontal axis is (Type an integer or a decimal.)
- Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area. -2.23 The area of the shaded region is (Round to four decimal places as needed.)Directions:Sketch the normal curves and determine the area under the standard normal curve that lies.Answer number 10. 10.to te left of z=-1.27 and to the right of z=2.86Find the z-scores for which 15% of the distribution's area lies between -z and z. Click to view page 1 of the table. Click to view page 2 of the table. The z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) nts