For a random sample of 36 data pairs, the sample mean of the differences was 0.74. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. a. Is it appropriate to use a Student's t distribution for the sample test statistic? Explain.
1. Yes, the standard deviation is larger than the sample mean.
2. No, the standard deviation is not smaller than the sample mean.
3. Yes, the sample size is larger than 30.
4. No, the sample size is not larger than 30.

b. What degrees of freedom are used?

Asimple random sample of size nequals14 is drawn from a population that is normally distributed. the sample mean is found to be x overbar equals 70 and the sample standard deviation is found to be sequals13. construct a 90% confidence interval about the population mean

With: label the vertices and all the elements needed. find x

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions