Consider the population consisting of 5,10,15,20,25,30. Samples of size 4 is drawn. What is the mean and variance of the sampling distribution of the sample means?

if a data sample has a mode of 140, a median of 130, and a mean of 120 is the distribution of the data is positively skewed?

State one possible advantage of using paired samples instead of independent samples.

Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent year: George Lucas (5500), Steven Spielberg (3700), Oprah Winfrey (3200), Michael Jordan (1700), Paul McCartney (1200), and Jerry Seinfeld (950). Find the range, variance, and standard deviation for the sample data. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? The range is $ 4550 million. (Round to the nearest integer as needed.) The variance is million dollars squared. (Round to the nearest integer as needed.)

The average final exam score for the statistics course is 78%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 85, 89, 70, 85, 63, 60, 71, 73, 73, 60, 74, 82 What can be concluded at the the αα = 0.10 level of significance level of significance?    The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer > < = ≠       ___________  H1:H1:  ? p μ  Select an answer < = > ≠    ____________   The test statistic ? t z Correct =  (please show your answer to 3 decimal places.)   p-value =  (Please show your answer to 4 decimal places.)

please quickly thanks !!

find the range, variance, and standard deviation. Precipitation and High TemperaturesThe normaldaily high temperatures (in degrees Fahrenheit) inJanuary for 10 selected cities are as follows. 50, 37, 29, 54, 30, 61, 47, 38, 34, 61

What is the likely media when the mean is 9 the sample variance is 7.31 and the skew is 1.04

The average final exam score for the statistics course is 77%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 91, 64, 96, 96, 75, 74, 78, 84, 98, 78, 80, 74 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?✓ Select an answer ✓ H₁: ? Select an answer c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

The average final exam score for the statistics course is 81%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 81, 81, 96, 78, 92, 94, 87, 92, 75, 87, 69, 98, 68, 95, 98, 92 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer v H1: ? v Select an answer v C. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v f. Based on this, we should Select an answer ♥ the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly higher than…