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Ivan Kochetkov

Numerade educator

A study of fox rabies in southern Germany gave the following information about different regions and the occurrence of rabies in each region (Reference: B. Sayers et al., "A Pattern Analysis Study of a Wildlife Rabies Epizootic," Medical Informatics, Vol. 2, pp. 11-34). The data gives the number of cases of fox rabies found in 16 locations of region I and 15 locations of region II. Region I Data 1 7 7 7 6 7 7 1 3 3 3 1 4 1 4 5 Region II Data 1 1 3 2 4 8 5 5 4 4 3 3 5 6 9 Let u1,u2 represent the mean number of cases of fox rabies in region I and in region II respectively. At significance level 0.02, does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Assume the distribution of rabies cases in both regions is mound-shaped and approximately normal. dbar=-0.01 SEc=0.8441 two-tail test t* value=-0.012 D.F.=29 p-value=? Based on the given samples, construct a 88.49 % confidence interval to estimate the difference in the mean number of cases of fox rabies between the two regions tc=? C.I.=?

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Ivan Kochetkov

Numerade educator

In a sample of 610 domestic Kois, the average lifespan is 5.25 years with standard deviation 0.775. In a similar sample of 610 Japanese imported Kois, the average lifespan is 4.1 years with standard deviation 0.47. dbar=1.15 SEc=0.0367 t=31.335 DF=1004 p-value=0 Based on the given samples, construct a 98.25 % confidence interval to estimate the difference in the average lifespan of Domestic Kois and Japanese imported Kois Tc=? Round tc to 3 decimal places C.I.=? Round margin of error, to 2 decimal places.

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INSTANT ANSWER

Vinegar is a dilute solution of weak acetic acid \( \left(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right) \). Carbonated water is a solution of weak carbonic acid \( \left(\mathrm{H}_{2} \mathrm{CO}_{3}\right) \). Write reversible reactions to show the ionization of each weak acid when placed into water. Weak acids ionize one hydrogen ion at a time if more than one \( H \) is found in an acid formula (as \( H \) comes off an acid molecule, it is represented by \( \mathrm{H}_{3} \mathrm{O}^{+} \)in an equation since free \( \mathrm{H}^{+} \)doesn't exist) so you need to write two equations for complete dissociation of \( \mathrm{H}_{2} \mathrm{CO}_{3} \). Include the states of matter for all substances and balance your equations. (1.25 pts) \( \mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2} \) dissoc. in \( \mathrm{H}_{2} \mathrm{O} \) : (1.25 pts) \( 1^{\text {st }} \) dissoc. of \( \mathrm{H}_{2} \mathrm{CO}_{3} \) in \( \mathrm{H}_{2} \mathrm{O} \) : (1.25 pts) \( 2^{\text {nd }} \) dissoc. in \( \mathrm{H}_{2} \mathrm{O} \) :

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4. (1.5 pts) Multiple structures with the same chemical formula (number and type of each element present) but mer below to draw bonds and any lone pairs to a structura isomer that you have already drawn in Table \#4. \[ \begin{array}{clll} & \mathrm{O} \\ & \mathrm{O} & \mathrm{C} & \mathrm{N} \\ \mathrm{H} & & \end{array} \]

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1. (4 pts) Identify and circle/box the formulas of the substances from Table \#3 that are nonpolar, polar, and ions. \begin{tabular}{ll} Nonpolar: & \( \mathrm{HBr}, \mathrm{N}_{2}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{CH}_{2} \mathrm{O}, \mathrm{CS}_{2}, \mathrm{SI}_{2}, \mathrm{CH}_{2} \mathrm{Cl}_{2}, \mathrm{PCl}_{3}, \mathrm{CH}_{3} \mathrm{OH}, \mathrm{NH}_{4}^{+}, \mathrm{NO}_{3}^{-} \) \\ Polar: & \( \mathrm{HBr}, \mathrm{N}_{2}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{CH}_{2} \mathrm{O}, \mathrm{CS}_{2}, \mathrm{SI}_{2}, \mathrm{CH}_{2} \mathrm{Cl}_{2}, \mathrm{PCl}_{3}, \mathrm{CH}_{3} \mathrm{OH}, \mathrm{NH}_{4}^{+}, \mathrm{NO}_{3}^{-} \) \\ Ions: & \( \mathrm{HBr}, \mathrm{N}_{2}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{CH}_{2} \mathrm{O}, \mathrm{CS}_{2}, \mathrm{SI}_{2}, \mathrm{CH}_{2} \mathrm{Cl}_{2}, \mathrm{PCl}_{3}, \mathrm{CH}_{3} \mathrm{OH}, \mathrm{NH}_{4}^{+}, \mathrm{NO}_{3}^{-} \) \end{tabular}

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Pritesh Ranjan

Numerade educator

Let Z ~ N(0, 1). Accurate to 4 decimal places, evaluate P(Z < -3.25 OR Z > 2.9)

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INSTANT ANSWER

Is there anything familiar in the Margin of Error formula \[ E=z_{c} \frac{\sigma}{\sqrt{N}} \] to estimate \( \mu \) that you can recognize?

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In a random sample of 90 people, 9 of them are left-handed. Let p be the true proportion of left-handed people in the population. Does the sample indicate that p is higher than 0.05? Use a 0.012 level of significance. E) What is the p-value of this test?

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Lucas Finney

Numerade educator

In a random sample of 404 adult (age 25 or over) US Citizens, 123 of them hold a Bachelor's degree. Let p be the true proportion of adult US Citizens that hold a Bachelor's degree. Does the sample indicate that p is lower than 0.43? Use a 0.01 level of significance. What is the p-value of this test?

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The Margin of Error formula to estimate \( p \) is as following: \[ E=z_{c} \cdot \sqrt{\frac{\widehat{n}(1-\widehat{n})}{\mathrm{E}=\mathrm{z}^{\prime} \text { clodot sqrt((ha }}} \] What from our past understanding does this part \( \sqrt{\frac{\widehat{p}(1-\widehat{p})}{N}} \) of the formula look like?

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