Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?

1. Suppose the Fed decides to increase the money supply. It purchases a government bond worth $2,000 from Antonia, a private citizen. Antonia deposits the check in her account at First National Bank. Supposed the required reserve ratio is 0.2 (20%).

(a) Trace the effect of this change through three banks- First National, Second Federal, and Third State.

(b) How much money will be generated in this banking system?

1. Suppose the Fed decides to increase the money supply. It purchases a government bond worth $2,000 from Antonia, a private citizen. Antonia deposits the check in her account at First National Bank. Supposed the required reserve ratio is 0.2 (20%).

(a) Trace the effect of this change through three banks- First National, Second Federal, and Third State.

(b) How much money will be generated in this banking system?

Crude oil of specific gravity (0.75) is flowing through a pipe. The pipe has a diameter of 100 mm and 50 mm at the sections 1 and 2 respectively. The velocity of crude oil at the section 1 is 550 cm/s. The   section 1 is 3000 mm and section 2 is 2000 mm above the datum. If the pressure at the section 1 is 0.2 N/mm², find the intensity of pressure at section 2?

In Java, write the method public static void insertUnique(List l, T e), user of the ADT List. The method takes a list l and an element e and inserts the element at the end of the list only if it is not already there. Example 0.2. If l : A → B → C, then after calling insertUnique(l, "C"), the list does not change. Calling insertUnique(l, "D") will make l be : A → B → C → D.

1.

During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 30%, CBS 27%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 93 homes, CBS 63 homes, NBC 88 homes, and independents 56 homes. Test with  = .05 to determine whether the viewing audience proportions changed. Use Table 12.4.

Round your answers to two decimal places.

χ ² = ??

2.

Test the following hypotheses by using the χ ² goodness of fit test.

A sample of size 200 yielded 40 in category A, 120 in category B, and 40 in category C. Use  = .01 and test to see whether the proportions are as stated in H₀. Use Table 12.4.

a. Use the p-value approach.

χ ² = ?

The table below contains the following variables, growth rates of real GDP, M1, M2, velocity of M1 and M2 (denoted V1 and V2), the federal funds rate (FFR), and the CPI inflation rate. Use the quantity equation to calculate the equilibrium inflation rate using individually M1 and M2. Next, calculate the equilibrium inflation rate assuming the quantity theory of money holds (i.e. assuming velocity is constant). According to your calculations, which is a better predictor of inflation, M1 or M2? Similarly, which is a better predictor of inflation, assuming the quantity theory holds, or not?

Table 8.3: Growth Rates

(Source: FRED II, St. Louis Federal Reserve)

A stress researcher is measuring how fast parents respond to a crying infant. He gathers data from 64 people (N = 64). His participants' reaction times are normally distributed. The average reaction time was 3.0 seconds, with a standard deviation of 0.2 seconds. Using a standard normal table (Table A-1), answer the following questions (hint: you need to convert raw scores into z-scores).

a. What proportion of his participants will be between 2.6 and 3.1 seconds?
b.      What proportion of his participants will be between 2.4 and 3.2?
c. What proportion of his participants will be between 3.3 and 3.7?
d. What proportions of participants will be above 3.4 seconds?
e. Of the z-scores you calculated above which is the most probable? Which is the least probable? Explain your answers.
f. What would the standard error of the mean be for the sampling distribution from which this sample of reaction times was drawn, if we assume the population SD (sigma, σ) is also 0.2?
g. If we are using an alpha = .05, what would the critical values be in raw units (hint: you don't need the z-table for this)?

An economist wondered if people who go grocery shopping on weekdays go more or less often on Fridays than any other day. She figured that if it were truly random, 20% of these shoppers would go grocery shopping on Fridays. She randomly sampled 75 consumers who go grocery shopping on weekdays and asked them on which day they shop most frequently. Of those sampled, 24 indicated that they shop on Fridays more often than other days.

The economist conducts a one-proportion hypothesis test at the 1% significance level, to test whether the true proportion of weekday grocery shoppers who go most frequently on Fridays is different from 20%.

(a) H0:p=0.2; Ha:p≠0.2, which is a two-tailed test.

(b) Use Excel to test whether the true proportion of weekday grocery shoppers who go most frequently on Fridays is different from 20%. Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.

Provide your answer below:

test statistic =    p-value =