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1. A financial planner wants to compare the yield of income- and growth-oriented mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income-oriented and 40 growth-oriented funds. The mean increase for a two-year period for the income funds is $1100 with a standard deviation of $45. For the growth‑oriented funds the mean increase is $1090 with a standard deviation of $55. At the 0.01 significance level is there a difference in the mean yield of the two funds?
a. State the null and alternate hypotheses.
H0:H1:
b. State the decision rule.
c. Compute the value of the test statistic.
d. Compute the p-value.
e. What is your decision regarding the null hypothesis?
Determine the value of the finite population correction factor if population size is 1000 and the sample size is 300? What is the smallest sample size for which finite population correction factor must be Used?
The employees of a company were surveyed on questions regarding their educational background and marital status. Of the 600 employees
The study found that men who had participated in some vigorous activity at least twice a week in high school, college, and up to age 40 had a 60% reduced risk of Parkinson's disease developing. The study found no such reduction for women. What typ..
A sports researcher gave a standard written test of eating habits to 12 randomly selected professionals, four each from baseball, football, and basketball. The results were as follows:
Is the Euro fair? Soon after the Euro was introduced as currency in Europe, it was widely reported that someone had spun a Euro coin 250 times and gotten heads 140 times. We wish to test a hypothesis about the fairness of spinning the coin.
A manufacturer of billiard balls is testing three additives to the basic plastic. Show the partial ANOVA table
The probabilities of low, medium and high compliance are 0.3, 0.4, and 0.3, respectively
A small independent stock broker has created four sector portfolios for her clients. Each portfolio always has five stocks that may change from year to year The volatility (coefficient of variation) of each stock is recorded for each year.
The standard deviation of the differences d for the paired sample data s d = ____________
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test, evaluate the significance of the results, assuming there are no ties.
The manager of a car wash receives pricing schedule (shown below) from the vendor who supplies soap- and a promise of a 25% shorter lead time for deliveries.
In a recent study of incomes in Allegheny county in Pennsylvania it was found that distribution of family incomes is skew to the right. what can we say about the relationship between mean and median?
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