Question

True or False (1 point each) (Correct the ones that are false)

1. The purpose of an interval estimate is to provide information about how close a point estimate, i.e. sample statistic, is to the population parameter.
2. If the population standard deviation is unknown and cannot be estimated from historical data, an interval estimate for the population mean can be constructed by substituting the sample standard deviation and using the t distribution instead of the normal distribution.
3. You cannot determine a sample size to use to construct an interval estimate for a population mean if you do not know the population standard deviation.
4. In most applications a sample size of n≥30 is adequate to develop an interval estimate for a population mean.
5. Boxplots can be used to assess the shape of a dataset’s distribution, detect outliers, and compare two or more data distributions.
6. The expected value of a discrete random value is its mean and is calculated by:             E(x) = Ʃx*f(x).
7. The closer the (Pearson product moment) correlation coefficient is to 0, the stronger the linear relationship between two variables is.
8. The computation of a college GPA is an example of a weighted mean.
9. The standard deviation of a discrete random variable is a weighted average of the squared deviations of a random variable from its mean where the weights are the probabilities associated with the values.
10. To find the probability that a normal random variable is within any specific interval, the area under the normal curve for that interval must be determined.
11. The second quartile, Q2, = the 50^th percentile = the median.
12. The normal distribution provides a description of the likely results obtained through sampling.
13. While Chebyshev’s Theorem can be used to predict the proportion of data values within a specified number of standard deviations from the mean of any dataset, the Empirical Rule can only be used if the distribution of the dataset is approximately bell shaped.
14. The sampling distribution of the mean can be used to provide probability information about how close the sample mean is to the population mean.
15. There can only be one mode in a dataset.
16. The probability of a continuous random value assuming a particular value is 1.
17. Smaller values of the standard deviation for a normal curve result in wider, flatter curves, showing lesser variability in the data.
18. The probability in a uniform probability density function is 0 except for a defined interval a ≤ x ≤ b.
19. The highest point on a normal curve equals the mean, median, and mode.
20. A histogram showing salaries will often be skewed right.

Answer 1

(1) The second quartile, Q2, = the 50^th percentile = the median

ANSWER - TRUE

Q1 = 25TH

Q2 = 50TH

Q3= 75TH

Q4 = 100

(2) There can only be one mode in a dataset

ANSWER - FALSE

BECAUSE A DATASET CAN MORE THAN ONE MODE.

(3) The probability in a uniform probability density function is 0 except for a defined interval a ≤ x ≤ b

ANSWER - TRUE

(4) The highest point on a normal curve equals the mean, median, and mode

ANSWER- TRUE

BECAUSE ALL OF THE ABOVE ARE  CENTRAL TENDENCY

I HAVE SOLVE 4 PART OF THIS QUESTION

WITH 100% VALID ANSWER SO PLEASE RATE ME POSITIVE

THANKS