Teacher's Salary The average teacher's salary in a particular state is $\$ 54,166$. If the standard deviation is $\$ 10,200$, find the salaries corresponding to the following $z$ scores. \

$$2$$

The average teacher's salary in a particular state is $\$ 54,166$. If the standard deviation is $\$ 10,200$, determine the salaries corresponding to the following $z$ scores.

a. 2

b. $-1$

c. 0

d. $2.5$

e. $-1.6$

The mean annual salary for a random sample of 300 kindergarten through 12 th grade teachers in a particular state is 50,500. The standard deviation among the state's entire population of teachers is 3,700. Find a 95 dollar confidence interval for the mean annual salary $\mu$for all kindergarten through 12 th grade teachers in the state.

Teacher's Salary The average teacher's salary in a particular state is $\$ 54,166$. If the standard deviation is $\$ 10,200$, find the salaries corresponding to the following $z$ scores. \

$$-1.6$$

Assume that the sample is taken fro ma large population and the correction factor can be ignored.
Teachers' Salaries in Connecticut The average teacher's salary in Connecticut (ranked first among states) is $\$ 57,337$. Suppose that the distribution of salaries is normal with a standard deviation of $\$ 7500$.
What is the probability that a randomly selected teacher makes less than $\$ 52,000$ per year?

Marriage Age for Females The mean age at which females marry is $24.6$. The standard deviation is $3.2$ years. Find the corresponding $z$ score for each. \

$$27$$

If you deposit $1000 in a savings account with an interest rate of r compounded annually, than the balance in the account after 3 years is given by$B(r)=1000(1+r)^{3}$, where r is written as a decimal. What interest rate will yield a balance of$1100 after 3 years?

Distinguish between a cost and an expense.

Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

$$-21 r^5 t^4-14 r^4 t^6+21 r^3 t^6$$

During heavy rain, a section of a moutainside measuring 2.5 km horizontally, 0.80 km up along the slope, and 2.0 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring $0.40 \mathrm{~km} \times 0.40 \mathrm{~km}$ and that the mass of a cubic meter of mud is $1900 \mathrm{~kg}$. What is the mass of the mud sitting above a $4.0 \mathrm{~m}^2$ area of the valley floor?

Assume that your salary is $\$1,600$ per month and that your total benefits package (including salary) can total up to $\$2,000$.

A study revealed that the $30$-day readmission rate was $31.5$ percent for $400$ patients who received after-hospital care instructions (e.g., how to take their medications) compared to a readmission rate of $38.5$ percent for $400$ patients who did not receive such information.

(a) Set up the hypotheses to see whether the admissions rate was lower for those who received the information.

(b) Find the $p$-value for the test.

(c) What is your conclusion at $\alpha=.05$ ? At $\alpha=.01$?

Shah Company’s adjusted trial balance on December 31, 2014, contains the following accounts and balances: A. Shah, Capital, $8,600; A. Shah, Withdrawals,$350; Service Revenue, $2,600; Rent Expense,$400; Wages Expense, $900; Utilities Expense,$200; and Telephone Expense, $50. Prepare an income statement and statement of owner’s equity for the month of December.

Calculate the oxidation number for nitrogen in the following compounds.

(a) $\mathrm{NH}_3$