A grocery store manager did a study to look at the
Last updated: 5/6/2023
A grocery store manager did a study to look at the relationship between the amount of time in minutes customers spend in the store and the amount of money in dollars they spend The results of the survey are shown below Time Money 122 72 64 30 22 20 30 30 22 122 104 81 a Find the correlation coefficient r b The null and alternative hypotheses for correlation are Ho 0 H HB 0 The p value is 19 88 Round to four decimal places c Use a level of significance of a 0 05 to state the conclusion of the hypothesis test in the context of the study Round to 2 decimal places There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store O There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store Thus the use of the regression line is not appropriate There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store d 7 e Interpret There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store Thus the regression line is useful Round to two decimal places There is a 77 chance that the regression line will be a good predictor for the amount of money spent at the store based on the time spent at the store f The equation of the linear regression line is Given any group that spends a fixed amount of time at the store 77 of all of those customers will spend the predicted amount of money at the store 77 of all customers will spend the average amount of money at the store O There is a large variation in the amount of money that customers spend at the store but if you only look at customers who spend a fixed amount of time at the store this variation on average is reduced by 77 Please show your answers to two decimal places