80.2K

Verified Solution

Link Copied!

The Toylot company makes an electric train with a motor that itclaims will draw an average of only 0.8 ampere (A) under a normalload. A sample of nine motors was tested, and it was found that themean current was x = 1.30 A, with a sample standarddeviation of s = 0.45 A. Do the data indicate that theToylot claim of 0.8 A is too low? (Use a 1% level ofsignificance.)

A. What are we testing in this problem?

single mean or single proportion  

B. What is the level of significance?

C. State the null and alternate hypotheses. (Out of thefollowing): H₀: μ = 0.8;H₁: μ ≠ 0.8 ------ H₀:p = 0.8; H₁: p ≠ 0.8 ------H₀: μ = 0.8; H₁: μ > 0.8----- H₀: p = 0.8;H₁: p > 0.8 -----H₀: p ≠ 0.8; H₁:p = 0.8 ----- H₀: μ ≠ 0.8;H₁: μ = 0.8

D. What sampling distribution will you use? What assumptions areyou making? (out of the following): The standard normal, since weassume that x has a normal distribution with unknown σ.----- The standard normal, since we assume that x has anormal distribution with known σ. ----- The Student's t,since we assume that x has a normal distribution withknown σ. ----- The Student's t, since we assume thatx has a normal distribution with unknown σ.

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

F: Find (or estimate) the P-value. (Out of thefollowing): P-value > 0.250 ----- 0.125 <P-value < 0.250 ----- 0.050 < P-value <0.125 ----- 0.025 < P-value < 0.050 ----- 0.005 <P-value < 0.025 ----- P-value < 0.005