Sample Size and Critical Value

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• Chi squared critical value

  90644 Chi squared critical value Find the critical value Chi squared R corresponding to a sample size of 3 and a confidence level of 95 percent.

• F test: Critical Value

  334907 F test: Critical Value What is the critical value for a two-tailed F-Test with a=0.10, when the sample size from which the variance for the numerator was obtained was 10, and the sample size from which the denominator was obtained was 24?

• Inferring about population Means

  b) Repeat part a increasing the standard deviations to S1= 210 and S2 =198. c) Describe what happens when the sample standard deviations get larger. d) Repeat part a with samples of size 150.

• Find the minimal size based on margin of error

  The sample size is 1302. (b) margin of error=critical value*standard error 0.02=1.645*sqrt(0.5*0.5/n) n=(1.645/0.02)^2*0.5*0.5=1691.3=1692. The sample size is 1692.

• Value sample and interval

  /SQUARE ROOT (n))) where x' is the sample mean ? is the population standard deviation n is the sample size z(alpha/2) is the critical value at the confidence level z(alpha/2) times (?

• Hypothesis test: sample of 100

  This solution provides a step by step method for computing test statistic for one sample t test is given in the answer. The sample size and the population standard deviation and p-value is calculated for various sample means.

• Hypothesis Testing

  For sample size =22, degrees of freedom=22-1=21, (95% level of confidence) To find out t-critical, refer t-distribution tables and look for combined area=(1-0.95%=0.05) with 21 degrees of freedom Critical value of t=+/- 2.080 (Assume 2-tail test)

• Normal Probability, Hypothesis Testing & Confidence Interval

  Lower critical value = -2.326347874 Hence critical region is Z < -2.326347874 Conclusion: Reject the null hypothesis, since the calculated value of test statistic is less than the critical value.

• Hypothesis Testing Using Normal Distribution

  0.054067524 Do not reject the null hypothesis Find the critical value(s) for the t-test with the indicated sample size n and level of significance a.

• How large would your population have to be for a sample to be appropriate?

  For instance, 95% confidence level has a critical value of 1.96, 99% confidence level has a critical value of 2.58, 90% confidence level has a critical value of 1.65. Third, estimate the sample standard deviation from a small size of sample.