A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. The correct test statistic is: Ⓒz= 4.45 Ot=4.45 2= 2.22 Ot= -4.45 z = -4.45 A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. When testing at the 5% level, the rejection region for the test is: O [1.645,00) o [1.729, ∞) • (-∞, -1.729] U [1.729, ∞) • (-∞, -1.645] • (-∞, -1.729] A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. What decision should the research team make? Fail to reject the null hypothesis. The cable is no better than the old cable. o Fail to reject the null hypothesis. The new cable transmits farther. o Reject the null hypothesis. The new cable is no better than the old cable. o Reject the null hypothesis. The new cable transmits farther.

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Question 6
A certain type of fiber optic cable transmits light a mean distance of 58 km. A research
team wishes to investigate if a modification in the manufacturing process will increase the
mean acceptable transmission distance. A sample of twenty batches of cable produced
under the new process are tested. The sample mean is 60.3 km with sample standard
deviation 2.31 km. Assume the population is normally distributed.
The correct test statistic is:
z = 4.45
t = 4.45
2= 2.22
Ot= -4.45
Oz-4.45
A certain type of fiber optic cable transmits light a mean distance of 58 km. A research
team wishes to investigate if a modification in the manufacturing process will increase the
mean acceptable transmission distance. A sample of twenty batches of cable produced
under the new process are tested. The sample mean is 60.3 km with sample standard
deviation 2.31 km. Assume the population is normally distributed.
When testing at the 5% level, the rejection region for the test is:
[1.645,00)
o [1.729,00)
(-∞, -1.729] U [1.729,00)
• (-∞, -1.645]
• (-∞, -1.729]
A certain type of fiber optic cable transmits light a mean distance of 58 km. A research
team wishes to investigate if a modification in the manufacturing process will increase the
mean acceptable transmission distance. A sample of twenty batches of cable produced
under the new process are tested. The sample mean is 60.3 km with sample standard
deviation 2.31 km. Assume the population is normally distributed.
What decision should the research team make?
● Fail to reject the null hypothesis. The new cable is no better than the old cable.
o Fail to reject the null hypothesis. The new cable transmits farther.
o Reject the null hypothesis. The new cable is no better than the old cable.
Reject the null hypothesis. The new cable transmits farther.
Transcribed Image Text:Question 6 A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. The correct test statistic is: z = 4.45 t = 4.45 2= 2.22 Ot= -4.45 Oz-4.45 A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. When testing at the 5% level, the rejection region for the test is: [1.645,00) o [1.729,00) (-∞, -1.729] U [1.729,00) • (-∞, -1.645] • (-∞, -1.729] A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. What decision should the research team make? ● Fail to reject the null hypothesis. The new cable is no better than the old cable. o Fail to reject the null hypothesis. The new cable transmits farther. o Reject the null hypothesis. The new cable is no better than the old cable. Reject the null hypothesis. The new cable transmits farther.
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