The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample Indicate that the Toylot clalm of o.8 A is too low? (Use a 1% level of signtficance.) What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P= 0.8; Hp+0.8 O Ho: H=0.8; HH 0.8 O Ho: H- 0.8; H:= 0.8 O Ho: P- 0.8; H,: p= 0.8 O Hg: p = 0.8; H,: p> 0.8 O Hại H = 0.8; H: H> 0.8 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, stnce we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribubion with known o. O The standard normal, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the Pvalue. O P-value > 0.250 O 0.125 < p.value <0.250 O 0.050 < p-value < 0.125 O 0.025 < P-value <0.o50 O 0.005 < P-value < 0.025 O P-value 0.005 Sketch the sampling distribution and show the area corresponding to the Pvalue.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.40 A, with a sample standard deviation of s= 0.41 A. Do the data
Indicate that the Toylot claim of 0.8 A Is too low? (Use a 1% level of significance.)
what are we testing in this problem?
O single proportion
single mean
(a) what is the level of significance?
State the null and alternate hypotheses.
O Ho: P= 0.8; H:P- 0.8
O Ho: H= 0.8; H: u- 0.8
O Ho: u- 0.8; H,:H = 0.8
O Ho: p- 0.8; H: p = 0.8
O Hg: p = 0.8; H,:p> 0.8
O Hoi H = 0.8; H: u > 0.8
(b) what sampling distribution will you use? What assumptions are you making?
O The standard normal, since we assume that x has a normal distribution with unknown o.
O The Student's t, since we assume that x has a normal distribution with unknown o.
O The Student's t, since we assume that x has a normal distribution with known o.
O The standard normal, since we assume that x has a normal distribution with known g
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find (or estimate) the P-value
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 <P-value < 0.125
O 0.025 < p-value <0.050
O 0.005 < P-value < 0.025
O P-value 0.005
Sketch the sampling distribution and show the area coresponding to the Pvalue.
Us 0 9 O 10:24
Transcribed Image Text:The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.40 A, with a sample standard deviation of s= 0.41 A. Do the data Indicate that the Toylot claim of 0.8 A Is too low? (Use a 1% level of significance.) what are we testing in this problem? O single proportion single mean (a) what is the level of significance? State the null and alternate hypotheses. O Ho: P= 0.8; H:P- 0.8 O Ho: H= 0.8; H: u- 0.8 O Ho: u- 0.8; H,:H = 0.8 O Ho: p- 0.8; H: p = 0.8 O Hg: p = 0.8; H,:p> 0.8 O Hoi H = 0.8; H: u > 0.8 (b) what sampling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with known g What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 <P-value < 0.125 O 0.025 < p-value <0.050 O 0.005 < P-value < 0.025 O P-value 0.005 Sketch the sampling distribution and show the area coresponding to the Pvalue. Us 0 9 O 10:24
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