Find the following z values for the standard normal variable Z. Round your answers to two (2) decimal places. a) P(Z > z) = 0.714 b) P(0 ≤ Z ≤ z) = 0.3202
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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.S The chair of the business department hypothesizes that the final grades in a statistics course are distributed as 30% A's, 40% B's, 20% C's, and 10% D or F's. At the end of the semester, the following numbers of grades were earned in a class with 50 students. B C D, F 21 11 4 Grade A Number 14 Calculate the chi-square value.b. Math Score(x) 4 7 10 13 16 Frequency(f) 4Assume that z is the test statistic. (Give your answers correct to two decimal places.) (c) Calculate the value of z for H,: u = 18.2, o = 3.7, n = 137, x = 19.01. (d) Calculate the value of z for H.: u = 81, o = 13.2, n = 46, x = 78.7. %3DDetermine the z-score given the following: (Express your answers in 2 decimal places) 1. P(zWhat does this formula compute? E (Y-Y')² N Oest Select one: O a. Variance of Y b. Variance of the slope c. Standard deviation of Y O d. Standard error of the slopeThe acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. H = 5 (Round to three decimal places as needed.). o: = 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x2 5.3) = (Round to four decimal places as needed.)O E. Ho: H270 %3D the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270.An owner of a health spa studied the relationship between “temperature in degrees Fahrenheit at 11 A.M.” (X) and “number of customers using the facilities at that time” (Y) during the summer. The data are shown below: X Y 65 18 67 18 75 22 81 19 85 27 87 24 MX=76.67 SDX=8.44 ZX ZY -1.38 -1.15 -0.20 +0.51 +0.99 +1.22 Which of the following statistics has the highest mathematical value? Standard deviation of Y Variance of Y Median of Y Mean of YFind the equation of the normal line at 2 x = 0 to the curve, y + 0. %3D х — 3Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 Compute r 0.75 -0.5 1.5 0.54. Describe the various components of the function Y, = E(Y | X,)+4. %3D 5. Given Eaf = E(Y-B-B2X1) derive the normal equations and eventually the estimation equations for B, and B2?SEE MORE QUESTIONS
