A manufacturer states that the average life of its television is 5 years. You were hired as a quality control specialist. You obtained a random sample of 40 televisions and calculated the average life to be 4 years and 10 months. The population standard deviation is equal to 4 months. Test whether the manufacturers claim is correct at the 5 percent level. 11. State the Claim and Opp Claim: 12. State the Null and Alternative Hypothesis 13. Test the Claim by calculating the appropriate test statistic (Z or T formula) 14. Can you prove the claim?

We are planning on performing a study to determine the average age of online students at NCC. We would like to be 99% confident in our answer and we would like to be within 2 years of the actual age. A previous study determined that the standard deviation was approximately 7.5 years. How many students must we sample?

As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…

A random sample of 49 cans of soda is obtained and the contents are measured. The sample mean is 12.01 oz and the standard deviation is 0.13 oz. Test the claim that the contents of all such cans have a mean different from 12.00 ​oz, as indicated by the label. Use a 0.05 significance level.   Find the Z score And the P value. Do you reject the hypothesis?