Z/t Computed Value Z/t Critical Value 1. Zcomputed = 1.02 1. Zcritical = 1.64 2. Zcomputed = 2.15 3. Zcomputed = 2.24 2. Zcritical = 1.96 3. Zcritical = 2.33 Decision
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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.Differentiate. y = eP(p + p/p)Z= P value =
- A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Z-value p-value Single Policyholders n₁ = 440 Number making claims = 88 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. (to 2 decimals) (to 4 decimals) X Married Policyholders n2 = 840 Number making claims 126 We can conclude ✔ that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. X * )pen %2C'userld%3A10586670021272127.. 142% y 3 60 y= 6. 25/3 60 y y=- 3.Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Median for Car 2 M = 250 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data setO Range for Car 1 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Range for Car 2 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257
- Differentiate. y = 3 x In xThe prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of company's stocks sold (x1), and the volume of exchange (in millions) on the New York Stock Exchange (x2) are shown below. Day (x1) 950 (x2) (v) 87.50 11.00 2 86.00 945 11.25 3 84.00 940 11.75 11.75 4 83.00 930 5 84.50 935 12.00 6. 84.00 935 13.00 13.25 7 82.00 932 8 80.00 938 14.50 78.50 925 15.00 10 79.00 900 16.50 77.00 77.50 11 875 17.00 12 870 17.50 Excel Analysis Toolpak was used to determine the least-squares regression equation. The computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.949 0.901 Adjusted RS Standard Em Observations 0.879 1.205 12.000 ANOVA df MS 59.424 Significance F SS Regression 2.000 118.847 40.922 0.000 Residual 9.000 13.069 1.452 Total 11.000 131.917 Coefficients Standard Ero 118.506 0.016 33.575 0.031 t Stat 3.530 P-value 0.006 Lower 95% Upper 95% Lower 95.0% Upper 95.0% 194.458 194.458 Intercept (x1) (2) 42.553 42.553…For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Variable Type of variable Level of measurement (a)Duration (in minutes) of a call to a customer support line Quantitative Categorical Nominal Ordinal Interval Ratio (b)Exchange on which a stock is traded (NYSE, AMEX, or other) Quantitative Categorical Nominal Ordinal Interval Ratio (c)Temperature (in degrees Celsius) Quantitative Categorical Nominal Ordinal Interval Ratio