Test H0: u = 10 vs HA: µ> 10 using the sample results = 13.2 , s = 8.7 with n = 12 Test Null hypothesis Alternative hypothesis H,: µ # 10 Ho: u = 10 T-Value P-Value 0.92 0.375
Please check my interpretation and calculation for the following hypothesis test using the Student t-distribution:
Use the Student t distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the
The null hypothesis states that the true population means is equal to 10. The alternative hypothesis states that the population means is greater than 10. Therefore if the p-value ≥ the significance level we reject the null hypothesis
The null hypothesis states that the true population means is equal to 10. The alternative hypothesis states that the population means is greater than 10. Therefore if the p-value ≥ the significance level we reject the null hypothesis. So we fail to reject the null hypothesis since both the t-value and p-values are less than 10.
![Test H0: u = 10 vs HA: µ> 10 using the sample results = 13.2 , s =
8.7 with n = 12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2be4efe6-02a6-4a12-81ad-27e46b66d7a4%2F699dc826-6ee7-4d36-a4af-9b738ab006d7%2Fy3mnykj.png&w=3840&q=75)
![Test
Null hypothesis
Alternative hypothesis H,: µ # 10
Ho: u = 10
T-Value P-Value
0.92
0.375](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2be4efe6-02a6-4a12-81ad-27e46b66d7a4%2F699dc826-6ee7-4d36-a4af-9b738ab006d7%2Fqsydcg.png&w=3840&q=75)
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