An outbreak of Salmonella-related illness was attributed to ice cream produced at a certain factory. Scientists are interested to know whether the mean level of Salmonella in the ice cream is greater than 0.2 MPN/g. A random sample of 20 batches of ice cream was selected and the level of Salmonella measured.   The levels (in MPN/g) were:

1. (0.5 point) Read the data in R using a vector. Show your codes only but not the output.

2. (0.5 point) State the two hypotheses of interest.

3. (1 point) Is there evidence that the mean level of Salmonella in the ice cream is greater than 0.2 MPN/g? Assume a Normal distribution and use α = 0.05. Show your codes and result/output from R.

4. (1 point) Interpret your finding in (c).

An outbreak of Salmonella-related illness was attributed to ice cream produced at a certain factory. Scientists are interested to know whether the mean level of Salmonella in the ice cream is greater than 0.2 MPN/g. A random sample of 20 batches of ice cream was selected and the level of Salmonella measured. The levels (in MPN/g) were:

0.593, 0.142, 0.329, 0.691, 0.231, 0.793, 0.519, 0.392, 0.418, 0.219 0.684, 0.253, 0.439, 0.782, 0.333, 0.894, 0.623, 0.445, 0.521, 0.544

a) (0.5 point) Read the data in R using a vector. Show your codes only but not the output.

b) (0.5 point) State the two hypotheses of interest.

c) (1 point) Is there evidence that the mean level of Salmonella in the icecream is greater than 0.2 MPN/g? Assume a Normal distribution and use α =0.05. Show your codes and result/output from R.

d) (1 point) Interpret your finding in (c).

Here are the three scenarios of the state of the economy in a country A: State of Economy Probability Boom 0.2 Normal 0.6 Recession 0.2 Suppose the rates of return of the bond in three scenarios of the economy are 10% in a boom, 5% in a normal period, and -5% in a recession. The stock returns in the three scenarios are 20%, 10%, and -10%, respectively. Asset Allocation (Two-risky-assets Portfolio) Questions: 1. Compute the covariance between the two risky assets. 2. Compute the correlation coefficient and explain the correlation between these two risky assets. The Three Rules of Two-Risky-Assets Portfolio Based on the results of Question 1 and Question 2. If an investor plans to invest into a risky portfolio P which is composed of the stock and the bond, and he allocates 40% into the stock and the rest 60% into the bond. Apply Rules of Two-Risky-Assets Portfolio and compute: 3. The Expected Return of the risky portfolio P. 4. The Variance of the risky portfolio P.

Design a PCC mix for the following scenario:

CE 20400 Spring 2020

Design Environment: Unreinforced Slab in Minneapolis, Minnesota

                                   Consider the city to be a cold climate with severe weather

Required design strength: 4500 psi

Slab thickness:                   18 inches

Statistical data indicate a standard deviation of compressive strength of 200 psi

      (more than 30 samples)

Only air entrainer allowed

Air entrainer: Manufacturer specification is: 0.20 fl oz/1% air/100 lb cement

Course aggregate:             1 ½” nominal maximum size crushed stone

                                            Bulk oven dry specific gravity 2.5

                                            Absorption 0.2%

                                            Oven-dry rodded density 125 pcf

                                            Moisture content 1.5%

Fine aggregate:                  Natural sand

                                            Bulk oven dry specific gravity 2.45

                                            Absorption 0.2%

                                            Moisture content 4%

                                            Fineness modulus 2.8

Cement                               Specific gravity 3.15

Bombair Retail Store orders accent chairs 10 times per year from Axium Manufacturing. The reorder point without safety stock is 100 chairs. The following demand probabilities during the lead time is shown in the table:

The carrying cost is $30 per unit per year and the cost of a stockout is $70 per chair per year. How much safety stock should be carried?    [9 points]

1.  The HT and USR’s stock returns are shown in the following table. Assume you invest 40% in HT and 60% in USR. Calculate your portfolio’s expected return and standard deviation.

2.  Church Inc. is presently enjoying relatively high growth because of a surge in the demand for its new product.  Management expects earnings and dividends to grow at a rate of 25% for the next 4 years, after which competition will probably reduce the growth rate in earnings and dividends to zero, i.e., g = 0.  The company’s last dividend, D₀, was $1.25, its beta is 1.20, the market risk premium is 5.50%, and the risk-free rate is 3.00%.  What is the current price of the common stock?

A new aerated sewage lagoon is required in a small town in 2020. In 2015, one was built on a similar site in a nearby city for $3 million.The new lagoon is 75% larger, and its power sizing exponent is 0.90. The cost index for 2015 is 180, whereas the one in 2020 is 400. Estimate the cost of new lagoon in 2020.

There is a growing shift toward using RESTful web services in the industry, despite the fact that SOAP is more secure and has built-in support for enterprise security features. How would you justify using RESTful web services for your company when the business requires you to provide more security for the services you develop?