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An LED light bulb manufacturer claims that the average lifespan of its 60 watt LED light bulbs is 25 000 hours A corporate watchdog group is suspicious of the company s claim and thinks that the true average lifespan of the 60 watt LED light bulbs produced by the company may be less than the advertised 25 000 hours The group collected and tested a random sample of 262 light bulbs and found the average lifespan of the sample was 24 924 hours Use the p value method to test the hypothesis that the mean lifespan of this brand of 60 watt LED light bulb is less than 25 000 hours using a significance level of 2 Assume the standard deviation of the lifespan of all such light bulbs is known to be 450 hours State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed two tailed left tailed right tailed Should the standard normal z distribution or Student s t distribution be used for this test The standard normal distribution should be used The Student st distribution should be used Determine the test statistic for the hypothesis test Round the solution to two decimal places Determine the p value for the hypothesis test Round the solution to four decimal places Determine the appropriate conclusion for this hypothesis test The sample data provide sufficient evidence to reject the null hypothesis that the mean lifespan of the 60 watt LED light bulbs produced by this company is 25 000 hours and thus we conclude that the company s claim that that the average lifespan of the 60 watt LED light bulbs is 25 000 hours is likely false The sample data provide sufficient evidence to reject the alternative hypothesis that the mean lifespan of the 60 watt LED light bulbs produced by this company is less than 25 000 hours and thus we conclude that the company s claim that the light bulbs last an average of 25 000 hours is likely true The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean lifespan of the 60 watt LED light bulbs produced by this company is less than 25 000 hours and thus we conclude that the company s claim that the light bulbs last an average of 25 000 hours is Ukely false The sample date do not provide sufficient evidence to reject the null hypothesis that the mean lifespan of the 60 watt LED light bulbs n is 25 000 hours and thin

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