Question

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 = 1.30 A, with a sample standard deviation of s = 0.42 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.)

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: μ = 0.8; H₁:  μ ≠ 0.8H₀: p = 0.8; H₁:  p ≠ 0.8     H₀: p = 0.8; H₁:  p > 0.8H₀: μ = 0.8; H₁:  μ > 0.8H₀: μ ≠ 0.8; H₁:  μ = 0.8H₀: p ≠ 0.8; H₁:  p = 0.8

(b) What sampling distribution will you use? What assumptions are you making?

The standard normal, since we assume that x has a normal distribution with known σ.The Student's t, since we assume that x has a normal distribution with known σ.     The standard normal, since we assume that x has a normal distribution with unknown σ.The Student's t, since we assume that x has a normal distribution with unknown σ.

What is the value of the sample test statistic? (Round your answer to three decimal places.)


(c) Find (or estimate) the P-value.

P-value > 0.2500.125 < P-value < 0.250     0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 < P-value < 0.025P-value < 0.005

Answer 1

(a)- The level of significance is the probability of rejecting a null hypothesis by the test when it is really true.it is denoted as α.

(b)- here we have used t test because standard deviation is unknown.

(c)- 3.571

(d)- 0.0036which is less than 0.005

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