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Analyzing functions

### Geographical Analysis (Oct. 2006) published a study of a new method for analyzing remote-sensing data from satellite pixels in order to identify urban land cover. The method uses a numerical measure of the distribution of gaps, or the sizes of holes, in the pixel, called lacunarity. Summary statistics for the lacunarity measurements in a sample of 100 grassland pixels are $$\bar{x}=225\ and\ s=20s=20$$. It is known that the mean lacunarity measurement for all grassland pixels is 220. The method will be effective in identifying land cover if the standard deviation of the measurements is 10% (or less) of the true mean (i.e., if the standard deviation is less than 22). a. Give the null and alternative hypotheses for a test to determine whether, in fact, the standard deviation of all grassland pixels is less than 22. b. A MINITAB analysis of the data is provided below. Locate and interpret the p-value of the test. Use $$\alpha=0.10$$. Test for One Standard Deviation Method Null hypothesis $$\Sigma = 22$$ Method Alternative hypothesis $$\Sigma = < 22$$ The standard method is only for the normal distribution. Statistics NStDevVariance 10020.0400 Tests

Analyzing functions

### Some prime numbers are odd. 2 is a prine number. Therefore, 2 is an odd number.

Analyzing functions

### $3450 shares were bought and than sold for$6100 after a while. What is the capital gain as a percent of the original purchace price? What is the gross capital gain?

Analyzing functions

### gestationperiod mean birthweight standard deviation under 28weeks 1.88lbs 1.20lbs 28-31weeks 4.08lbs 1.86lbs 32-35weeks 5.71 1.47lbs 36weeks 6.44lbs 1.19lbs 37-39weeks 7.31lbs 1.09lbs 40weeks 7.69 1.04 41weeks 7.79 1.08lbs 42 weeks andover 7.61 1.11lbs 1. what percent of the babies born within each gestationperiod have a low birth weight (under 5.5 lbs)? Explain yourreasoning. a. under 28 weeks b.32-35 weeks c. 37to 39 weeks d. 42 weeks and over 2. Describe the weights of the top 10% of the babies born witheach gestation period. Expalin your reasoning. a. 37 to 39 weeks b. 42 weeks and over 3. For each gestation period, what is the probability that ababy will weigh between 6 and 9 lbs at birth? a. 32 to 35 weeks b. 37to 39 weeks c. 42 weeks and over 4. A birth weight of less than 3.3 lbs is classified by theNCHS as a " very low birth weight." What is the probability that ababy has a very low birth weight for each gestation period? a. under 28 weeks b. 32 to 35 weeks c. 37 to 39 weeks

Analyzing functions