The Toylot company makes an electric train with a motor that it claims will draw an...

80.2K

Verified Solution

Question

Statistics

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

Answer & Explanation Solved by verified expert
4.3 Ratings (892 Votes)
given data aresample mean 130sample sd s 045sample size n 9SOLUTIONA we are testing single mean inthis problemB the level of significance 001C the    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students