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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 = 1.32 A, with a sample standard deviation of s = 0.46 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) A) State the null and alternate hypotheses.B) What sampling distribution will you use? What assumptions are you making?C) What is the value of the sample test statistic? (Round your answer to three decimal places.) D) will you reject or fail to reject the null hypothesis

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 = 1.32 A, with a sample standard deviation of s = 0.46 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) 

A) State the null and alternate hypotheses.

B) What sampling distribution will you use? What assumptions are you making?

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

D) will you reject or fail to reject the null hypothesis
 

check_circleAnswer
Step 1

The provided information are:

Hypothesised mean()= 0.8 A
Sample size (n) 9
Sample mean (T) = 1.32A
Sample standard deviation (s) 0.46A
A)
It is required to test whether the claim of 0.8.4 is too low, that means,
the true mean is greater than 0.8.4.
The null and alternative hypotheses are:
Н.:и 3D0.8
Н.:и> 0.8
The test is right sided.
help_outline

Image Transcriptionclose

Hypothesised mean()= 0.8 A Sample size (n) 9 Sample mean (T) = 1.32A Sample standard deviation (s) 0.46A A) It is required to test whether the claim of 0.8.4 is too low, that means, the true mean is greater than 0.8.4. The null and alternative hypotheses are: Н.:и 3D0.8 Н.:и> 0.8 The test is right sided.

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Step 2

B)

Since the population standard deviation is unknown and the sample size is small, the appropriate sampling distribution is t-distribution with n-1 degrees of freedom.

Assumption: The current drawn...

t =
1.32-0.80
0.46
3.391
help_outline

Image Transcriptionclose

t = 1.32-0.80 0.46 3.391

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Math

Statistics

Hypothesis Testing

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