Question: can you please send the answer a little bit faster The correlation coefficient r is a sample statistic. What does it tell us about the

can you please send the answer a little bit faster

can you please send the answer a little bit faster The correlation

The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient p (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of p yet. However, there is a quick way to determine if the sample evidence based on p is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of / to determine if p # 0. We do this by comparing the value Irl to an entry in the correlation table. The value of a in the table gives us the probability of concluding that p # 0 when, in fact, p = 0 and there is no population correlation. We have two choices for a: a = 0.05 or a = 0.01. Critical Values for Correlation Coefficient r a = 0.05 a = 0:01 a = 0.05 10 = 0.01 a - 0.05 4 - 0,01 100 .00 0.53 0.68 0.41 0.53 0.95 0.99 0.53 .66 0.40 0.52 0.88 0.96 0.51 0.64 0.40 0.51 0.81 0.92 0.50 9.61 0.39 0.50 0.75 0.87 0.48 0.61 0. 38 0.49 0.71 0.83 0.47 0.59 0.37 0.48 0.67 0.80 0.46 .58 0.37 0.47 0.63 0.76 0.44 0.56 0.36 3.46 0.60 0.73 0.43 0.55 0.58 0.71 0.42 0.54 (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |ri large enough to conclude that weight and age of Shetland ponies are correlated? Use a = 0:05. (Round your answer for s to four decimal places.) 60 140 182 184 LO USE SALT X X critical / 0.96 Conclusion O Reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated

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