BS2002_

The 28 MPG claimed by the automobile manufacturer does not fall within the 95% CI. After evaluating the data [ n=35 ] we can determine the UCL and LCL of normal distribution, 95% CI [27.416, 26.024] is not within the plausible value. The UCL [27.416] with [d=0.696] is a plausible value, however, the LCL [26.024] is not plausible at all since it falls short of the parameters. I am confident that there is a 95% probability that the sample population will not be within the manufactures mean, 28 mpg. Part 2: Hypothesis Testing: Two-Tail Test and One-Tail Test Calculating a Two-Tail Test Using BS2002_M1_resource_ExcelHelper Alpha: 0.05 Hypothesized Value: 28 Sample Size: 35 Sample Mean: 26.72 Sample Standard Deviation: 2.10 t -Test Statistic: -3.606 2-Tail t -Test Critical Value: -2.032 t -Test p-value: 0.00100 α = 0.05 t-test statistic = -3.606 H 0 : ≤ 28 H 1 : 28 T-critical value : -2.032 P =0.00100 Interpreting the Two-Tail Test The observed test statistics is in the critical region, therefore the H 0 is rejected. The p-value of 0.001 is less than α (0.05) the indicates that the H 0 is false thus rejecting the null hypothesis. Calculating a One-Tail Test Using BS2002_M1_resource_ExcelHelper Alpha: 0.05 Hypothesized Value: 28 Sample Size: 35 Sample Mean: 26.72 Sample Standard Deviation: 2.10 t -Test Statistic: -3.606 Page 2 of 4