Answer the following using step 1-5 of hypothesis testing. 1. The height of the container (in cm) is normally distributed and has a standard deviation of 4 cm and planning department in a manufacturing company is designing a new plastic container as a new product and is interested in the box height. The company wishes to test if the mean is less than or equal to 13 cm using the results of 32 samples when the true mean height of sample is 15 cm. They plan to test the claim using 99% confidence level. 2. An auto battery company claims that their batteries mean life is at most 60 months In order to check their claim a DTI researcher took a random sample of 25 of these batteries and found that the mean life is 57 8 months with a standard deviation of 6.5 months Assume that the battery life follows a normal distribution test with 99% confidence level whether companies claim is different from true mean.Task 2: Construct, Describe, Compute, and Interpret Directions: (1) Construct a scatter plot of the given bivariate data. (2) Describe the form, trend, and variation of the scatter plot. (3) Compute for the Pearson's Product-Moment Correlation Coefficient following the four steps (4) Interpret the strength of relationship based on its Pearson's r Problem Grade 11 students believe on the value of thriftiness That is why they conducted a research on selected elementary leamers regarding the amount they save from their daily allowance and their corresponding weight as follows Amount 10 8 15 20 3 5 25 10 15 Saved in peso Weight 38 40 37 36 42 41 39 35 36 37 in klogramsLearning Task 2: Decision. Write "A" for Accept and Write "B" for Reject. Determine the decision for each of the following given. For nos 7-10. Please refer to the z-table or t-table for the critical value. 1. Zcomputed=1.70 Zcritical=1.86 2. Tcomputed=1.90 Tcritical=2.96 3. Tcomputed=1.64 Tcritical=1.64 4. Tcomputed=1.67 Tcritical=1.64 5. Zcritical=1.30 Zcritical (significance level 10%, one-tailed test) 6. Zcomputed=2.30 significance level=0.01, two-tailed test 7. Zcomputed=1.54 confidence level 95%, one-tailed test 8. Zcomputed=1.38, 0=0.10, two-tailed test 9. Tcomputed=2.73 confidence level 99%, one-tailed test, n=11 10. Tcomputed=2.20, 0=0.05, two-tailed test, n=16