The Engineering Department at Sims Software Inc. recently developed two chemical

Question

The Engineering Department at Sims Software Inc. recently developed two chemical solutions designed to increase the usable life of computer disks. A sample of disks treated with the first solution lasted 86, 88, 66, 83, 84, 81, 94, 109, 65, and 102 hours. Those treated with the second solution lasted 91, 71, 75, 76, 77, 79, 73, 76, 79, 78, 87, 80, 76, and 72 hours. Assume the population standard deviations are the same. At the .05 significance level, can we conclude that there is a difference in the length of time the two types of treatment lasted? The variable of interest (x) in this problem is the usable life of computer disks given the type of chemical solution used. True False The problem involves: Comparing the proportions of two populations Comparing the variances of two populations Comparing the means of two dependent populations Comparing the means of two independent samples None of the above What is the correct hypothesis setup for this problem? H_0: mu_First = mu_Second H_1: mu_First notequalto mu_Second H_0: mu_First lessthanorequalto mu_Second H_1: mu_First > mu_Second H_0: mu_First greaterthanorequalto mu_Second H_1: mu_First pi_Second H_0: pi_First greaterthanorequalto pi_Second H_1: pi_First

Explanation / Answer

summary for the solution:

Welch Two Sample t-test

data: x and y
t = 1.7182, df = 11.01, p-value = 0.1137
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-2.230746 18.116460
sample estimates:
mean of x mean of y
85.80000 77.85714

Since p-vaue = 0.1137 > 0.05, that means We accept our null hypothesis i.e There is no significant difference in the length of time the two type of treatment lasted.

23) a. True

24) d. Comparing the means of two independent samples

25) (a.) is the correct hypothesis

26) 85.8000

27) 77.85714

28) 1.7182

29) 0.975

30) 0.1137

31) at the 0.05 significance level pvalue is greater then 0.05 which infer that there is no significant difference in the length of time the two type of treatment lasted

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