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A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262?
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A machine is designed to produce insulating washers for electrical dev...
Hypothesis Testing:
Hypothesis testing is a statistical method used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.
In this case, we want to test whether the average thickness of washers produced by the machine is significantly different from the expected average thickness of 0.025cm.
Null Hypothesis (H0): The average thickness of washers produced by the machine is equal to 0.025cm.
Alternative Hypothesis (Ha): The average thickness of washers produced by the machine is not equal to 0.025cm.
Calculating the t-value:
The formula to calculate the t-value is:
t = (x̄ - μ) / (s / √n)
Where:
x̄ = sample mean (0.024cm)
μ = population mean (0.025cm)
s = sample standard deviation (0.002cm)
n = sample size (10)
Substituting the values, we get:
t = (0.024 - 0.025) / (0.002 / √10)
t = -3.162
Interpreting the t-value:
The t-value obtained (-3.162) is less than the critical value of t at 5% level of significance (2.262). This means that the difference between the sample mean and the population mean is statistically significant.
Rejecting or Accepting the Null Hypothesis:
We reject the null hypothesis (H0) and accept the alternative hypothesis (Ha) because the t-value is outside the critical region.
Conclusion:
The average thickness of washers produced by the machine is significantly different from the expected average thickness of 0.025cm.
Hypothesis testing is a statistical method used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.
In this case, we want to test whether the average thickness of washers produced by the machine is significantly different from the expected average thickness of 0.025cm.
Null Hypothesis (H0): The average thickness of washers produced by the machine is equal to 0.025cm.
Alternative Hypothesis (Ha): The average thickness of washers produced by the machine is not equal to 0.025cm.
Calculating the t-value:
The formula to calculate the t-value is:
t = (x̄ - μ) / (s / √n)
Where:
x̄ = sample mean (0.024cm)
μ = population mean (0.025cm)
s = sample standard deviation (0.002cm)
n = sample size (10)
Substituting the values, we get:
t = (0.024 - 0.025) / (0.002 / √10)
t = -3.162
Interpreting the t-value:
The t-value obtained (-3.162) is less than the critical value of t at 5% level of significance (2.262). This means that the difference between the sample mean and the population mean is statistically significant.
Rejecting or Accepting the Null Hypothesis:
We reject the null hypothesis (H0) and accept the alternative hypothesis (Ha) because the t-value is outside the critical region.
Conclusion:
The average thickness of washers produced by the machine is significantly different from the expected average thickness of 0.025cm.
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A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262?
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A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262?.
A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine is designed to produce insulating washers for electrical devices of Average thickness of 0.025cm A random sample of 10 washers was found to have an average thickness of 0.024cm with a standard deviation of 0.002cm Test the significance of the deviation. Value of t for 9 degree of freedom at 5% level is 2.262?.
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