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The Thickness of Plywood Sheets Manufactured by Plywoods

Introduction

The objective of the assignment is to compare the thickness of plywood sheets manufactured by Winsor Plywood and Royal Plywood companies and determine which one is thicker.

Conditions, Rejection Criteria, and Hypotheses

Conditions

  • Compare the means of the thickness of the two types of plywood sheets.
  • The hypothesis test will use paired-samples t-test.
  • The assignment used a sample size of 100 (N = 100) for both types of plywood sheets.

Rejection Criteria

The hypothesis test will use a significance level of 0.05 (α =0.05) in determining the statistical significance of the difference in thickness of plywood sheets.

Hypotheses

H0: There is no statistically significant difference in the means of plywood sheets manufactured by Winsor Plywood and Royal Plywood (µ1 = µ2).

H1: There is statistically significant difference in the means of plywood sheets manufactured by Winsor Plywood and Royal Plywood (µ1 ≠ µ2).

The Sample Size Determination

The assignment sampled plywood sheets from the stores of the respective companies, which manufacture the two types of plywood sheets. The assignment sampled 100 plywood sheets from each company and measured their thickness. The sample 100 is sufficient to represent the population and feasible to measure within a reasonable time. The sampling methodology used is the convenience sampling technique because it involved a sampling process of selecting and measuring plywood sheets that were easily accessible.

Table 1. Descriptive Statistics.

Descriptive Statistics
Winsor Plywood Sheets Royal Plywood Sheets Valid N (listwise)
N Statistic 100 100 100
Range Statistic 1.8 .9
Minimum Statistic 8.0 9.0
Maximum Statistic 9.8 9.9
Mean Statistic 9.120 9.465
Std. Deviation Statistic .2846 .1966
Variance Statistic .081 .039
Skewness Statistic -.257 .056
Std. Error .241 .241
Kurtosis Statistic 1.834 -.085
Std. Error .478 .478

The descriptive statistics indicates that there is an apparent difference in the means of the thickness of plywood sheets manufactured by Winsor Plywood and Royal Plywood. Evidently, the mean of plywood thickness manufactured by Winsor Plywood (M = 9.120) is less than the mean of plywood thickness manufactured by Royal Plywood (M = 9.465). The measures of dispersion indicate that the thickness of plywood sheets manufactured by Winsor Plywood (SD = 0.2846, variance = 0.081, range = 1.8) is more diverse than the plywood sheets manufactured by Royal Plywood (SD = 0.1966, variance = 0.39, and range = 0.90).

The distribution of data closely follows the normal distribution as demonstrated in Figure 1 and Figure 2.

Histogramand the Normal Distribution Curve
Figure 1.
Histogram and the Normal Distribution Curve
Figure 2.

Calculation of T-Test

Montgomery, Runger, and Hubele state that significance level determines rejection or failure to reject of a null hypothesis (147). In this view, the t-test rejects the null hypothesis that there is no statistically significant difference in the means of plywood sheets manufactured by Winsor Plywood and Royal Plywood, t(99) = -10.744, p = 0.000.

Paired Samples Test.
Paired Differences t df Sig. (2-tailed)
Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference
Lower Upper
Pair 1 Winsor Plywood Sheets – Royal Plywood Sheets -.3450 .3211 .0321 -.4087 -.2813 -10.744 99 .000

Conclusion

The analysis of the thickness of plywood sheets manufactured by Winsor Plywood and Royal Plywood indicate that they have a noticeable difference. Evidently, the thickness of plywood sheets manufactured by Royal Plywood is thicker than the ones manufactured by Winsor Plywood.

Works Cited

Montgomery, Douglas, George Runger, and Norma Hubele. Engineering Statistics. London: John Wiley & Sons, 2009. Print.

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Essay4Business. (2022, April 13). The Thickness of Plywood Sheets Manufactured by Plywoods. Retrieved from https://essay4business.com/the-thickness-of-plywood-sheets-manufactured-by-plywoods/

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Essay4Business. (2022, April 13). The Thickness of Plywood Sheets Manufactured by Plywoods. https://essay4business.com/the-thickness-of-plywood-sheets-manufactured-by-plywoods/

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"The Thickness of Plywood Sheets Manufactured by Plywoods." Essay4Business, 13 Apr. 2022, essay4business.com/the-thickness-of-plywood-sheets-manufactured-by-plywoods/.

1. Essay4Business. "The Thickness of Plywood Sheets Manufactured by Plywoods." April 13, 2022. https://essay4business.com/the-thickness-of-plywood-sheets-manufactured-by-plywoods/.


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Essay4Business. "The Thickness of Plywood Sheets Manufactured by Plywoods." April 13, 2022. https://essay4business.com/the-thickness-of-plywood-sheets-manufactured-by-plywoods/.

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Essay4Business. 2022. "The Thickness of Plywood Sheets Manufactured by Plywoods." April 13, 2022. https://essay4business.com/the-thickness-of-plywood-sheets-manufactured-by-plywoods/.

References

Essay4Business. (2022) 'The Thickness of Plywood Sheets Manufactured by Plywoods'. 13 April.

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