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log_(16)(1)= log_(16)(16)= log_(16)(4)= log_(16)(2)= Log16(1) = Log16(16) = Log16(4) - Log16(2) -

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4. There are two tennis courts in a park. Pairs of players arrive at rate 3 per hour and play for a random time which has exponential distribution with mean 1 hour. If there are already two pairs of players waiting then the new arrivals will immediately leave. Formulate a Markov chain model for this system, and provide the arrow diagram with the jump rates.

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Compare two different companies of compare one company vs ACME error before and Brand X error before and Hypothesized Altimete Altimeter Brand Altimeter Altimeter Altimeter Brand A B Brand C Brand D Brand E maintenance Altimeter ACME Altimeter maintenance Brand X Brand X Altimeter Altimeter error before orror Altimeter adjustment adjustment adjustment adjustment- Brand F calibration calibration calibration calibration 124 24 78 5530300530 24 126 6 124 21 (V.4.5) (Fill in the light blue sections for A though D) Part I Questions (due at end of module 8-requires no calculation until module 9 turn in of Part II) A) Describe what you are comparing. Option 3-I will be comparing the ACME error before adjustment and calibration and after adjustment and calibration. B) State your hypothesis in a sentence, This can be as simple as: "The altimeter error for Brand_is higher than Brand." (Your hypothesis does not have to be in statistical notation for Part I of the final). The ACME altimeter after adjustment and calibration is lower than the ACME altimeter before adjustment and calibration. C) Indicate the appropriate t-test that you will use to evaluate your hypothesis. I will be using a paired t-test to evaluate my hypothesis. D) State the alpha level. $\alpha = 0.05$ t-Test: Two-Sample Assuming Unequal Variances (V 4.5) (Fill in light green sections for E though J) Part II Questions (due at the end of Module 9) E) State the hypothesis in a sentence (for example): "The altimeter error for Brand_ is higher than Brand_." The ACME altimeter after adjustment and calibration is lower than the ACME altimeter before adjustment and calibration. F) Express that idea using scientific notation. (See examples in your text if you are unsure) Null Hypothesis-H0: Before = After Alternate Hypothesis -HA: Before < After G) State the appropriate t-test used to evaluate the hypothesis and show results table I used the paired T-test. H) Alpha (a) level 0.05 P-value 0.0000257 or 0.00000775 J State in a sentence or two whether the hypothesis is rejected or if there is not enough evidence to reject the null hypotheses and what the results mean. There is enough evidence to reject the null hypothesis. The results show that there is a difference between the ACME altimeter error before and after adjustment and calibration. The mean of error after adjustment and calibration is lower. Before After Mean 75.95 20.55 Variance 1882.787 139.5237 Observations 20 20 Hypothesized Mean Difference 0 df 22 II of the Final t Stat 5.509356 P(T<=t) one-tail 7.75E-06 t Critical one-tail 1.717144 P(T<=t) two-tail 1.55E-05 t Critical two-tail 2.073873 t-Test: Paired Two Sample for Means Before After Mean 75.95 20.55 Variance 1882.787 139.5237 Observations 20 20 Pearson Correlation -0.24557 Hypothesized Mean 0 df 19 t Stat 5.195478 P(T<=t) one-tail 2.57E-05 t Critical one-tail 1.729133 P(T<=t) two-tail 5.15E-05 t Critical two-tail 2.093024

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In order to determine an interval for a mean of a population with unknown stanard deviation a sample of 58 items is selected The mean of thesample is determined to be 36 The associated number of degrees offreedom for reading the t value is

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--- increases the frequency of beneficial mutations in populations. Genetic drift Artificial selection Sexual selection Natural selection

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Point mutation(s) is(are: substitution mutation missense mutation nonsense mutation all of the options are correct

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Some inequality is inevitable ? True ? False

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A prediction based on a large data set that is entered into a computer is called a computer

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Find the intervals of convergence. (Be sure to include a check for convergence at the endpoints of the intervals. Enter your answer using interval notation.) $\qquad f(x) = \sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x - 7)^n}{n^7}$ (a) $f(x)$ $[6,8)$ (b) $f'(x)$ (c) $f''(x)$ (d) $\int f(x) dx$

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Macmillan Learning decreases; increases; decreases Expansionary monetary policy the money supply, interest rates, and consumption and investment spending. increases; increases; increases decreases; decreases; decreases increases; decreases; increases

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diana c.