Origin Energy claims their new bulb has a mean light output of 960 lumens. The inspection division of a state department that regulates trade measurements wants to determine if the claim made by Origin Energy is false. She randomly selects 40 new bulbs, and the sample average light output is computed as 954 lumens per bulb. Assume the standard deviation of light output for this type of bulb is 18.4 lumens. What is the sign given in the alternative hypothesis?

Continuing from the Origin Energy scenario, what is the value of the test statistic? Assume the light output of lumens is normally distributed. (Round your answer to two decimal places.)

The quality-control manager at a compact fluorescent light bulb(CFL)factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7450 hours.The population standard deviation is 990 hours.A random sample of 81 light bulbs indicates a sample mean life of 7,252 hours. At the 0.05 level of significance.is there evidence that the mean life is different from 7450 hours? What is the test​ statistic?

A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is 0.1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?Group of answer choicesType IIBothNeitherType I

A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is .1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?type Itype IIneitherboth

An automatic coffee machine dispenses cups of coffee whose volume per cup varies normally with the mean μ = 10 oz. A quality-control researcher randomly selects 8 cups of coffee from the machine and finds that in this sample the mean volume is 9.92 oz. and the standard deviation is 0.23 oz.Below is the output:Which of the following represents the correct conclusion we can make based on the output (and at the usual significance level of 0.05)? The data provide enough evidence to reject H0 and to conclude that the mean volume per cup is lower than the target level of 10 oz. The data provide enough evidence to accept H0 and to conclude that the mean volume per cup is at the target level of 10 oz. The data do not provide enough evidence to reject H0, so we accept it, and conclude that the mean volume per cup is at the target level of 10 oz. The data do not provide enough evidence to reject H0, nor to conclude that the mean volume per cup is lower than the target level of 10 oz.Question 4