What is the t-value when testing the following hypotheses and sample data: H0:μ=180 Ha:μ≠180 α = 0.05, x̄ = 183.6, s = 18, n = 130
Solution :
This is the two tailed test .
Test statistic = z
= ( - ) / / n
= (183.6 - 180) / 18 / 130
= 2.28
t value = 2.28
What is the t-value when testing the following hypotheses and sample data: H0:μ=180 Ha:μ≠180 α =...
You wish to test the following hypotheses at a significance level of α=0.05α=0.05. H0:μ=62.1 HA:μ<62.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=90 with mean ¯x=60.7 and a standard deviation of s=7.6 What is the test statistic for this sample? (Report answer accurate to two decimal places.) t= What is the degree of freedom? df=
B. H0:μ=12 vs. HA:μ<12H0:μ=12 vs. HA:μ<12 C. H0:μ=12 vs. HA:μ>12H0:μ=12 vs. HA:μ>12 D. H0:μ=12 vs. HA:μ≠12H0:μ=12 vs. HA:μ≠12 2. Which conditions must be met for the hypothesis test to be valid? Check all that apply. A. The observations are independent B. There must be at least 3 levels of the categorical variable. C. Population data must be nearly normal or the sample size must be at least 30. D. There must be an expected count of at least 5 in...
Suppose that you are testing the hypotheses H0: μ=70 vs. HA: μ≠70. A sample of size 41 results in a sample mean of 65 and a sample standard deviation of 1.7. a) What is the standard error of the mean? b) What is the critical value of t* for a 99% confidence interval? c) Construct a 99% confidence interval for μ. d) Based on the confidence interval, at α=0.010 can you reject H0? Explain.
need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...
You are testing H0:μ=100against Ha:μ<100with degrees of freedom of 24. The t statistic is -2.15 . The P-value for the statistic falls between ____ and _____ .
When the following hypotheses are being tested at a level of significance of α, H0: μ ≥ 500 Ha: μ < 500 the null hypothesis will be rejected if a) p-value ≤ 1 − α/2 b) p-value = α/2 c) p-value > α d) p-value ≤ α
Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71 observations results in a sample mean of 165. The population standard deviation is known to be 25 . a-1. Calculate the value of the test statistic a-2. Find the p-value. b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?...
Suppose that when data from an experiment was analyzed, the P-value for testing H0: μ = 50 versus Ha: μ > 50 was calculated as .0244. Which of the following statements are true? A. H0 is not rejected at .05 level B. H0 is not rejected at .025 level C. H0 is rejected at any level α D. H0 is rejected at .10 level
Consider the following hypotheses: H0: μ = 19 HA: μ ≠ 19 The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table) 20 23 17 21 21 24 23 Click here for the Excel Data File a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) b. Calculate the value of the test statistic. (Round intermediate calculations to...
Exercise 9-39 Algo Consider the following hypotheses: H0: μ = 20 HA: μ ≠ 20 The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table) 24 20 24 21 21 24 19 Click here for the Excel Data File a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) b. Calculate the value of the test statistic. (Round...