help me as soon as possible please WileyPLUS xG The phone lines to a × leyplus.c

Question

help me as soon as possible please WileyPLUS xG The phone lines to a × leyplus.com/edugen/student/mainfr.uni mery, Engineering Statistics, SE ctice Assignment ra ent Chapter 5, Problem 014 concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the concentration are taken with each catalyst, and the data are shown here: Catalyst 1: 65.0, 67.7, 69.2, 60.0, 65.3 66.9, 61.5, 63.5, 61.6, 62.3 Catalyst 2: 66.3, 64.7, 67.6, 68.5, 68.3 67.4, 66.1, 69.9, 70.6, 68.7 What is the P-value for testing the daim that type of catalyst does not affect concentration of active ingredient? What are your conciusions? p-value - The mean active concentrations do afer sonificantly The mean active concentrations do differ significantly: yes no

Explanation / Answer

This is a case of testing the two sample mean. This can be done in excel using the two sample t-test. The output of the test is as shown below-

So, we can see that the two tailed p value = 0.006433.

As the p-value is less than the significance level of 0.05, so we will reject the null hypothesis and conclude that the mean active concentrations do differ significantly.

t-Test: Two-Sample Assuming Unequal Variances Variable 1 Variable 2 Mean 64.3 67.81 Variance 9.12 3.194333 Observations 10 10 Hypothesized Mean Difference 0 df 15 t Stat -3.16302 P(T<=t) one-tail 0.003216 t Critical one-tail 1.75305 P(T<=t) two-tail 0.006433 t Critical two-tail 2.13145

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