The P-value Worksheet - Means 1. Does the P-value represent the probability the null hypothesis is correct?________ 2. All P-values must be between the numbers ________ and ________. 3. We are testing hypotheses about = the mean time (in minutes) to complete a quiz by all SCMA301 students. The sample mean for n = 30 students is found to be x = 8.2 minutes and the test statistic is T = -1.70. Use the T-table to find the P-values. (a) We are testing the following hypotheses: H o : 10 H A : 10 (1) Place = 10 on the graph (2) Place x = 8.2 on the graph (3) Shade the area which represents the P-value (4) Find the P-value: _________ (5) Interpret the meaning of the P-value: Assuming really is 10, there is a _______ chance of getting a sample mean of x = 8.2 or even __________. (b) We are testing the following hypotheses: H o : 10 H A : 10 (1) Place = 10 on the graph (2) Place x = 8.2 on the graph (3) Shade the area which represents the P-value (4) Find the P-value: _________ (5) Interpret the meaning of the P-value: Assuming really is 10, there is a _______ chance of getting a sample mean of x = 8.2 or even __________. (c) We are testing the following hypotheses: H o : 10 H A : 10 (1) Place = 10 on the graph (2) Place x = 8.2 on the graph (3) Place T = 0 and 1.70 on the graph below the numbers you already labeled (4) Shade the area which represents the P-value (5) Find the P-value: _________ (6) Interpret the meaning of the Pvalue: Assuming really is 10, there is a _______ chance of getting a sample mean at least ________ standard errors from , in both directions. 4. We are testing hypotheses about = the mean amount spent on lunch at Bleecker Street by all customers. The sample mean for n = 36 customers is found to be x = $6.22 and the test statistic is T = 2.50. Use the T-table to find the P-values. (a) We are testing the following hypotheses: H o : 5 HA : 5 (1) Place = 5 on the graph (2) Place x = 6.22 on the graph (3) Shade the area which represents the P-value (4) Find the P-value: _________ (5) Interpret the meaning of the P-value: Assuming ____ really is ______, there is a _______ chance of getting a _______ mean of _______ or even __________. (b) We are testing the following hypotheses: H o : 5 HA : 5 (1) Place = 5 on the graph (2) Place x = 6.22 on the graph (3) Shade the area which represents the P-value (4) Find the P-value: _________ (5) Interpret the meaning of the P-value: Assuming ____ really is ______, there is a _______ chance of getting a _______ mean of _______ or even __________. (c) We are testing the following hypotheses: H o : 5 H A : 5 (1) Place = 5 on the graph (2) Place x = 6.22 on the graph (3) Place T = 0 and 2.50 on the graph below the numbers you already labeled (3) Shade the area which represents the P-value (4) Find the P-value: _________ (5) Interpret the meaning of the Pvalue: Assuming ____ really is ____, there is a _______ chance of getting a _________ mean at least ________ standard errors from _____ in _________ directions