III. Problem Solving. Read and analyze the given problem then answer the following questions. 1. A random sample of n = 30 is taken from a normally distributed population with a mean of ? = 80 and standard deviation of ? = 5. Given the sample mean and standard deviation of x?= 77 and s = 3.3 respectively. Solve for test statistic. List all the given: 2. A student assistant administer an exam for the incoming grade 11 ABM students. Fifteen incoming grade 11 ABM students were selected randomly, and the result were as follows mean score of 90 with standard deviation of 10. The population parameters are ?=83 and ?=15. Solve for test statistic. List all the given: IV. A. Write the null hypothesis (H?) or alternative hypothesis (H?) of the following 1. H? : = ? = 10.2 H?: __________ 2. H? : __________ H? : = ? ? 32.6 3. H? : = ? ? 101.6 H?: __________ 4. H? : __________ H? : = ? > 0.45 5. H? : __________ H? : = ? < 87 6. H?: The average IQ of Grade 11 students is 110 H?: __________________________________________________________________ 7. H?: __________________________________________________________________ H?: The mean amount of dispensed coffee of a new vending machine is less than 350 ml
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3 **Objective:** Solve for the test statistic. **Step 1:** Identify the formula for the test statistic when the population standard deviation is known. Since the population standard deviation is given, we use the Z-test formula: \[ Z = \frac{\bar{x} - Show more…
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