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Use the one-standard-deviation χ2-test and the one-standard-deviation X2-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval for a sample of size n 12 with a standard deviation of s4 b.98% confidence interval Click the icon to view a portion of the χ2 distribution table. a. Compute the test statistic. (Round to three decimal places as needed.)Use the one standard deviation χ2-test and the one-standard devation χ2-inter a procedure conduct he required s and obtain espec ed po ess confidence interval for a sample of size n- 12 with a standard deviation of s 5 a. Ho : σ-6, Ha: σ < 6, α-o025 b.95% confidence interval Click the icon to view a portion of thex2 distribution table. a. Compute the test statistic. 7.639 (Round to three decimal places as needed.) Find the critical value(s). 3.816 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Make a conclusion based on these results. Choose the correct answer below XA. OB. Reject Ho. The test statistic is less than or equal to the critical value. Reject Ho. The test statistic is greater than the critical value Do not reject Ho. The test statistic is less than or equal to the critical value Do not reject Ho. The test statistic is greater than the critical value C. D.

ch 11, q3

Hi! the second example shows the entire qestion to the first problem, please answer the first question with those 3 steps. :-)

math   Statistics-And-Probability   
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Answer #1

I have used minitab software

Steps

  1. Stat-Basic Statistics-1 variance
  2. One-Sample Variance Sample standard deviation Sample size: 12 Sample standard deviation: 4 Perform hypothesis test Value: Hypothesized standard deviation5 Select Options... Medo Cancel 」 Help OK
  3. options
  4. One-Sample Variance: Options Confidence level: 99 Alternative hypothesis: Standard deviation < hypothesized standard deviation Help OK Cancel
  5. ok-ok

minitab output

Method Null hypothesis Alternative hypothesis σ < 5 The chi-square method is only for the normal distribution The Bonett method cannot be calculated with summarized data. Statistics N StDev Variance 16.0 12 4.00 99% one-sided Confidence Intervals Upper Bound Method Chi-Square 7.59 for Upper Bound StDev for Variance 57.6 Tests Test Method Statistic DF P-Value 7.040 110.204 Chi-Square

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test statistic=7.040

critical value=24.725

Do not reject H0. the test statistic is greater than the critical value.

---------------------------------------------------------------

PLEASE UPVOTE IF YOU LIKE MY ANSWER

THANK YOU

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