Find the values of k and -k for t-distribution which satisfy each of the following conditions

i) P( -k < T < k ) = 0.8 when n=21
ii) P( T < k ) = 0.01 when n=25

A venturimeter is placed in a pipe which is at 30 degrees to the horizontal. The pipe carries gasoline of specific gravity 0.8. The diameter at inlet and throat diameter are 5cm and 3cm respectively. A mercury manometer reads a level difference of 10cm.Calculate the flow rate.

A bank claims that the mean waiting time in line is less than 1.7 minutes. A random sample of 20 customers has a mean of 1.5 minutes with a standard deviation of 0.8 minute. Test the bank’s claim at 0.01 level of significance.

A $ 1 comma 000$1,000 bond with a coupon rate of 6.9​% paid semiannually has eight years to maturity and a yield to maturity of 6.6​%.

If interest rates fall and the yield to maturity decreases by​ 0.8%, what will happen to the price of the​ bond?

Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder point, without safety stock, is 200 kilos. The carrying cost is $20 per kilo per year, and the cost of a stockout is $70 per kilo per year. Given the following demand probabilities during the lead time, how much safety stock should be carried?
Demand During Lead Time(Kilos) Probability

0 ................... .....................................0.1
100 ......................................................0.1
200 ..................................................... 0.2
300 ................... ..................................0.4
400 ................... ..................................0.2

The optimal quantity pf safety stock which minimizes expeted total cost is ____ kilos (enter anwser as a whole number).

a) How many mL of 0.1 M Sr(OH)2 will be added to a beaker containing 150 mL of 0.16 M HClO4 (aq) to reach the equivalence point?

b) What is the pH of a beaker containing 150 mL of 0.16 M solution of CH3COOH (aq) Ka=1.7*10^-5 titrated with 0.2 M NaOH at the equivalence point?

c) Would you expect the volume to reach the equivalence point to be the same or different for 150 mL of 0.16 M HClO4 being titrated with 0.1 M Sr(OH)2 and 150 mL 0.16 M solution of CH3COOH titrated with 0.2 M NaOh? Why?

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.

Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.26 with n=1002

Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.

test statistic = Enter your answer; test statistic

p-value = Enter your answer; p-value

Conclusion: Choose the answer from the menu; Conclusion                                                          RejectDo not reject H0.

Stocks A and B have the following probability distributions of expected future returns: PROBABILITY: 0.1, 0.2, 0.4, 0.2, 0.1 Stock A: 8%, 5,13, 21,29 Stock B. 36%, 0, 22, 25, 36. Calculate the expected rate of return, rB, for Stock B (rA = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. Calculate the standard deviation of expected returns, ?A, for Stock A (?B = 19.68%.) Do not round intermediate calculations. Round your answer to two decimal places. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.

The following information is for a collateralized mortgage obligation (CMO). Tranche A of $50 million receives quarterly payments at 9 percent per year, tranche B of $100 million receives quarterly payments at 10 percent per year, and tranche C of $50 million receives quarterly payments at 11 percent per year.

3. If at the end of the first quarter, the CMO trustee receives total cash flows of $8 million, how are they distributed among the three tranches? (0.2 points)

5. What is the principal outstanding on Tranche A, Tranche B, and Tranche C after the end of year payment in the previous question? (0.2 points)