A Sample of 39 Students Enroll in a Program That $\bar { x }$

question 84

Short Answer

A sample of 39 students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement. The mean number of points improved was $\bar { x }$ =7. Assume the standard deviation is $\sigma$ =56 and let $\mu$ be، the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0 \text { versus } H _ { 1 } : \mu > 0$
i). Compute the value of the test statistic.
ii). Compute the P-value.
iii). Do you reject H₀ at the $\alpha$ level?

Identify the effects of different smoothing constants on time series forecasts and the speed of reaction to changes in data trends.

Conduct a moving average analysis to smooth time series data and identify patterns.

Differentiate between the use and purpose of exponential smoothing and moving averages.

Recognize and correct for the presence of autocorrelation in time series data.

---

Definitions:

Credit Sales

Sales for which payment is not received immediately, but the buyer is extended credit to pay at a later date, affecting a company's cash flow and revenue recognition.

COGS

Cost of Goods Sold, which refers to the direct costs attributable to the production of the goods sold by a company.

Effective Annual Interest Rate

The actual return on an investment or the real cost of a loan, accounting for the compounding of interest over a year.

Line of Credit

A financial arrangement providing the borrower the right to draw funds up to a specified limit at any time within a fixed period.