qso 510 6 homework

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Southern New Hampshire University *

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510

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Business

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Apr 3, 2024

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docx

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Uploaded by JusticeBravery13171

Katherine Tucker QSO 510 Flash Drive This data collected over 30 weeks of defective flash drives produced by a manufacturer company. The operations manager believes that less than 7 defective flash drives are made per week. The is our hypothesis null hypothesis µ = 7 and the alternative hypothesis µ < 7. The null is defined as there are 7 flash drives are defective per week. The alternative is defined as there are less than 7 flash drive are defective per week. Using the t-test to test the hypothesis to determine the statistical significance (Hayes, A.). The following data is determined: With using a one-tailed hypothesis we divide the value in half giving 0.4477. The t-statistic is the ratio of the difference between the sample mean and hypothesized mean and the variation that exists (Hayes, 2023). The p-value gives up the probability of getting the results the as the observed statistic in the event the null hypothesis is true. When the p-value is low we reject the

null hypothesis as it means the probability that it will occur is very low. If the p-value is high we accept the null hypothesis as the probability that it will occur is high. Since the test statistic is 0.1326 and is smaller than the critical value of 2.045 we fail to reject the null hypothesis. This is also supported by the fact that the p-value = 0.4477 is greater than the significance level of 0.25. There is not enough evidence to reject the null hypothesis that the mean of defective flash drives produced is equal to 7. We are not able to accept the alternative hypothesis that the number of defective flash drives produced each week is less than 7.

Resources: Hayes, A. (n.d.). T-test: What it is with multiple formulas and when to use them . Investopedia. https://www.investopedia.com/terms/t/t-test.asp Sharpe, N.R., De Veaux, R.D., & Velleman, P.F. (2019). Business statistics. (4 th Ed.). Boston, MA: Pearson Education, Inc.

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