Calculate the standard deviation and variance for the distribution below: 3, 4, 5, 5, 6, 7

The following data set indicates the time taken (in minutes) for a sample of eleven employees of company Z to complete an emotional intelligence test. 16, 19, 24, 21, 22, 19, 14, 19, 19, 13, 20 Calculate the following, using the appropriate methods and formulae The variance and standard deviation? Thanks

The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8.  Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 10, 9, 7, 10, 6, 6, 9, 11, 6, 9, 12, 10, 10, 11 What can be concluded at the αα = 0.01 level of significance? For this study, we should use t test for a population mean The null and alternative hypotheses would be:       H0:  Mean =  __?__  H1:  Mean < __?__  The test statistic t=  __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.) The p-value is >α Based on this, we should fail to reject the null hypothesis. Thus, the final conclusion is that ... Please choose one below The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different…

Researchers looked at the average number of hours of sleep per day in a group of 8 college professors. Calculate the range, standard deviaion, and variance, for the dataset below. X = {6, 6, 5, 7, 5, 4, 8, 5}   a. range = 4 standard deviation (sample) = 1.28 variance (sample) = 1.64   b. range = 5 standard deviation (sample) = 5 variance (sample) = 5.5     c. range = 4 standard deviation (sample) = 1.28 variance (sample) = 1.28     d. range = 4 standard deviation (sample) = 1.64 variance (sample) = 1.28