The standard error of the mean decreases if the population standard deviation __________________________.
decreases or if sample size increases
The standard error of the mean is \(SE=\dfrac{\sigma}{\sqrt{n}}\). It shrinks when the numerator \(\sigma\) decreases or the denominator \(\sqrt{n}\) grows — i.e. when population SD decreases or sample size increases.
Suppose a die is thrown four times and 5, 3, 5, 3 are obtained, respectively. Then the empirical probability of getting 5 is:
For any two events A and B in sample space S, which of the following options is NOT true?
If a biased coin is tossed 10 times, out of which head is obtained 3 times, then what is the probability of getting head on the 11th toss?
If x = 3u + 1 and y = 4v + 2 and the regression coefficient between u and v is 1.2, then find regression coefficient between x and y?
If P(A) = 2/3 and P(B) = 5/8 and find probability of only B occurring if probability of only A occurring is 1/6?
If 3 dice are thrown what is the probability of getting same digits on atleast two dices?
An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom dF₁ and dF₂ for the critical value of F are _______ respectively.
If the moving average for the year 2010 is 23.6, calculate the moving average for the year 2011 using the data from the given table?
The following data shows the sales (in Rs Lakhs) for each year:
| Year / साल | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Sales (in Rs Lakhs) / बिक्री (लाख रुपये में) | 20 | 22 | 23 | 24 | 21 | 21 | 24 | 27 | 30 | 28 | 32 |
Y = 100 - 0.4 t - t² represents the trend for sales of movie tickets in a multiplex with day before release as origin. Unit of Y is in Rs thousand and unit of t is days. Sales for day 3 are than sales of day 1.
Rohit wants to check his IQ with an MCQ test. The test has five questions with one correct answer. Each question has three options. If he just randomly guesses the answer to each question, what is the probability that he will get exactly three questions correct?
The probability of being 53 Sundays in year 2020 is-
Three dice are thrown randomly. The probability of coming 3 in at least one die is
The probability of having 53 Tuesdays in an ordinary year is:
Two dice are thrown simultaneously The probability of getting the sum 2 or 8 or 12 is
If two balanced dice are tossed once, the probability of the event, that the sum of the integers coming on the upper sides of the two dice is 9, is