A machine in the student lounge dispenses coffe. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of nine cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 aunce. Do you think that the machine has slipped out of acjustment and that the average amount of coffee per cup is diferent from 7 cunces? Use a S% level of significance. What are we teting in this problem? O singie proportion (a) What is the level of significance? State the null and aitemate hypotheses. O Hg: -7, H: <7 O Ho: p-7, H: p>7 O Hi-7, H >7 O Ha: - 7; Hạ: + 7 O Họ: p - 7; Hạ:p<7 (b) What sampiling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with knowne. O The Student's t, since n is large with unknown e. O The standard nomal, since we assume that x has a normal distribution with unknown. O The Student's t, since we assume that x has a normal distribution with unknown e. What is the value of the sample test statistic? (Round your answer to three dedmal places.) O (c) Find (or estimate) the Pvalue O Pvalue> 0.500 O 0.250 value 0.500 O 0.100

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A machine in the student lounge dispenses coffe. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of nine cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 aunce. Do you think that the machine has slipped out of acjustment and that the average amount of coffee per cup is diferent from 7
cunces? Use a S% level of significance.
What are we teting in this problem?
O singie proportion
(a) What is the level of significance?
State the null and aitemate hypotheses.
O Hg: -7, H: <7
O Ho: p-7, H: p>7
O Hi-7, H >7
O Ha: - 7; Hạ: + 7
O Họ: p - 7; Hạ:p<7
(b) What sampiling distribution will you use? What assumptions are you making?
O The standard normal, since we assume that x has a normal distribution with knowne.
O The Student's t, since n is large with unknown e.
O The standard nomal, since we assume that x has a normal distribution with unknown.
O The Student's t, since we assume that x has a normal distribution with unknown e.
What is the value of the sample test statistic? (Round your answer to three dedmal places.)
O
(c) Find (or estimate) the Pvalue
O Pvalue> 0.500
O 0.250 value 0.500
O 0.100 <Pvalue < 0.250
O 0.050 value 0.100
O D.010 value 0.050
O Pvalue <0.010
Sketch the sampling distribution and show the area coresponding to the Pvalue.
Transcribed Image Text:A machine in the student lounge dispenses coffe. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of nine cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 aunce. Do you think that the machine has slipped out of acjustment and that the average amount of coffee per cup is diferent from 7 cunces? Use a S% level of significance. What are we teting in this problem? O singie proportion (a) What is the level of significance? State the null and aitemate hypotheses. O Hg: -7, H: <7 O Ho: p-7, H: p>7 O Hi-7, H >7 O Ha: - 7; Hạ: + 7 O Họ: p - 7; Hạ:p<7 (b) What sampiling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with knowne. O The Student's t, since n is large with unknown e. O The standard nomal, since we assume that x has a normal distribution with unknown. O The Student's t, since we assume that x has a normal distribution with unknown e. What is the value of the sample test statistic? (Round your answer to three dedmal places.) O (c) Find (or estimate) the Pvalue O Pvalue> 0.500 O 0.250 value 0.500 O 0.100 <Pvalue < 0.250 O 0.050 value 0.100 O D.010 value 0.050 O Pvalue <0.010 Sketch the sampling distribution and show the area coresponding to the Pvalue.
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