9. Hypothesis testing notation Match each term with its notation. Enter the letter corresponding to the correct notation in the blank. The null hypothesis The alternative hypothesis a s b M The probability of a Type I error c \text{\omicron}M The probability of a Type II error d \mu The population mean e \sigma The sample mean f H1 The standard deviation of the population The standard deviation of the sample g \sigma h n The sample size i H0 The standard deviation of the sampling distribution of the sample mean j \beta
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Perform a hypothesis test for the mean for the following sample, the significance level alpha is 5%. Sample: 3.4, 2.5, 4.8, 2.9, 3.6, 2.8, 3.3, 5.5, 3.7, 2.8, 4.4, 4, 5.2, 3, 4.8. Population standard deviation is =1.05. Test if mean is greater than 3.16. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "≠" and numbers. Hint: in your answers use "<>" instead of "≠". H0: mean H1:mean 2 Test statistics value (rounded to two decimal places): 3 Conclusions, based on the results, which of the following options is correct: (type the corresponding capital letter, do not type the "dot" at the end) A. Reject H0 and accept H1 at 5% significance level. B. Accept H0 with 95% confidence. C. Do not reject H0 at 5% significance level and reserve judgement. D. Reject both, H0 and H1, the test has failed. E. Accept both, H0 and H1, the test has failed.
Adi S.
Perform a hypothesis test for the mean for the following sample. The significance level alpha is 5%. Sample: 7.9, 8.3, 8.4, 9.6, 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7. Test if mean ≠ 8.7. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "≠" and numbers. Hint: in your answers use "<>" instead of "≠". H0: mean H1: mean 2 Test statistics value (rounded to two decimal places): 3 Conclusions, based on the results, which of the following options is correct: (type the corresponding capital letter, do not type the "dot" at the end) A. Reject H0 and accept H1 at 5% significance level. B. Accept H0 with 95% confidence. C. Do not reject H0 at 5% significance level and reserve judgement. We may retain H0 but with some unknown probability. D. Reject both, H0 and H1, the test has failed. E. Accept both, H0 and H1, the test has failed.
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