State the hypothesis and identify the directional test. In this example, the null hypothesis is Ho = 120,000. You may notice that the hypothesis used the phrase 'greater income' that is associated with greater than. Therefore, H, >120,000. This hypothesis uses inequality symbol (>) so it is one-tailed test and it uses greater than which specifically called for the right-tailed test. Họ : R= 120,000 and Hạ : l>120,000 (right-tailed test) 3. The average waiting time of all costumers in a restaurant before being served is less than 20 minutes. Determine the hypotheses and the directional test. You may notice that the hypothesis used the phrase 'less than' which denotes that the alternative hypothesis is Ha <20. This hypothesis uses the inequality symbol (<) so it is a one-tailed test and it used less than what is specifically called for the left-tailed test. In this example, the null hypothesis is Ho≥20. Ho ≥20 and Ha<20 (left-tailed test) What's More Activity 3. Fill Me! Determine what is asked in each problem as indicated by the blanks. 1. A school principal claims that the Grade 11 students in her high school have a mean score of 92. Parameter: Claim: mean score of 92 Null Hypothesis: Alternative Hypothesis: H: #92 10 CO Q4 Statistics and Probability SHS Module 3 2. A medicine company has manufactured and claimed that their medicine pill contains an average of 14mg of an active ingredient. Parameter: average Claim: average of 14mg Null Hypothesis: Alternative Hypothesis: . 3. A certain product produced by a manufacturing company is supposed to weigh at least 12lbs. Parameter: Claim: weigh at least 12lbs Null Hypothesis: Hu> 121 Alternative Hypothesis: 4. The Bureau of Internal Revenue claims that the mean wait time for taxpayers during a recent tax filing is at most 8.7 minutes. A random sample of 11 taxpayers has a mean wait time of 8.7 minutes and a standard deviation of 2.7 minutes. Is there enough evidence to reject the claim at a significance level of 0.10? Parameter: mean Claim: Null Hypothesis: Alternative Hypothesis: H₁: > 8.7 5. According to a company, the mean pH level of the river water is 7.4. A researcher randomly selected 15 river water samples and found out that the mean is 6.7 with a standard deviation of 0.24. Parameter: mean Claim: mean pH level of the water river is 7.4 Null Hypothesis:, Alternative Hypothesis: Activity 4. Let's Hypothesize Write the null hypothesis and alternative hypothesis in notations for each given situation. 1. Mrs. Dela Cruz claims that her students scored an average of 91 in their Mathematics quiz. The master teacher wants to know whether the teacher's claim is acceptable or not. Ho Ha. 2. A car manufacturer claims that the mean selling price of all cars manufactured is only P150,000. A consumer agency wants to test whether the mean selling price of all the cars manufactured exceeds P150, 000. Ho Ha