The lightbulbs in an industrial warehouse have been found to have a mean lifetime of 1030.0 hours. The warehouse manager has been approached by a representative of Extendabulb, a company that makes a device intended to increase bulb life. The manager is concerned that the average lifetime of Extendabulb-equipped bulbs might not be any greater than the 1030 hours historically experienced. In a subsequent test, the manager tests 23 bulbs equipped with the device and finds their mean life to be 1079.61 hours. The underlying data are in lifetime.csv datafile. lifetime 868 1144 1084 1292 1154 965 1102 835 1232 995 1154 1160 1220 1302 1014 1060 857 888 997 942 1315 1114 1137 Use R or otherwise to indicate which one of the following best answers the manager’s question. a. The p.value of the test is 0.1146. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1. b. The p.value of the test is 0.1146. We can conclude that there is evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1. c. The p.value of the test is 0.0573. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1. d. The p.value of the test is 0.9427. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1. e. The p.value of the test is 0.0573. We can conclude that there is evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1. f. The p.value of the test is 0.9427. We can conclude that there is evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
The lightbulbs in an industrial warehouse have been found to have a
lifetime
868
1144
1084
1292
1154
965
1102
835
1232
995
1154
1160
1220
1302
1014
1060
857
888
997
942
1315
1114
1137
Use R or otherwise to indicate which one of the following best answers the manager’s question.
a. The p.value of the test is 0.1146. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
b. The p.value of the test is 0.1146. We can conclude that there is evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
c. The p.value of the test is 0.0573. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
d. The p.value of the test is 0.9427. We can conclude that there is no evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
e. The p.value of the test is 0.0573. We can conclude that there is evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
f. The p.value of the test is 0.9427. We can conclude that there is evidence to reject the null hypothesis of the mean lifetime of all lightbulbs produced in the warehouse is 1030.0 hours at significance level of 0.1.
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