An engineer claims that the average weights of their products is 750 grams with population standare deviation of 4.76. He wanted to test if this is true for 50 samples and then found out that the average weights of these samples are 812 grams. Sten 1 dentifu tke

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IV. Find the Z- value given the following.
An engineer claims that the average weights of their products is 750 grams with population standarc
deviation of 4.76. He wanted to test if this is true for 50 samples and then found out that the average
weights of these samples are 812 grams.
Step 1. Identify the given quantities.
Step 2. Compute for the standard error of the mean.
Step 3. Compute for the Z- value.
V. Given the problem below, perform the steps in hypothesis testing.
A. The lifetime of a sample of 100 fluorescent bulbs produced by a company is computed to be 1570
hours. If u is the lifetime of all the bulbs produced by the company, test the hypothesis that the mean
lifetime of all the fluorescent bulbs produced by the company is 1600 hours with the standard deviatic
120 hours, using the level of significance of 0.05.
Step 1: State the null (Ho) and alternative (H,) hypothesis.
Step 2: Determine the statistical technique and level of significance.
Step 3: Establish the Critical region/ decision rule.
Step 4: Compute for the test statistic.
SE
%3D
%3D
SE
Step 5: State the decision.
B. The manufacturer of a patient medicine claimed that it was 90% effective in relieving an allergy fc
period of 8 hours. In a sample of 200 people who had the allergy, the medicine provided relief for 160
people. Determine whether the manufacturer's claim is legitimate by using 0.01 as the level of
significance.
Step 1: State the null (Ho) and alternative (H) hypothesis.
Step 2: Determine the statistical technique and level of significance.
Step 3: Establish the Critical region/ decision rule.
Step 4: Compute for the test statistic.
pa/n
Step 5: State the decision.
Transcribed Image Text:IV. Find the Z- value given the following. An engineer claims that the average weights of their products is 750 grams with population standarc deviation of 4.76. He wanted to test if this is true for 50 samples and then found out that the average weights of these samples are 812 grams. Step 1. Identify the given quantities. Step 2. Compute for the standard error of the mean. Step 3. Compute for the Z- value. V. Given the problem below, perform the steps in hypothesis testing. A. The lifetime of a sample of 100 fluorescent bulbs produced by a company is computed to be 1570 hours. If u is the lifetime of all the bulbs produced by the company, test the hypothesis that the mean lifetime of all the fluorescent bulbs produced by the company is 1600 hours with the standard deviatic 120 hours, using the level of significance of 0.05. Step 1: State the null (Ho) and alternative (H,) hypothesis. Step 2: Determine the statistical technique and level of significance. Step 3: Establish the Critical region/ decision rule. Step 4: Compute for the test statistic. SE %3D %3D SE Step 5: State the decision. B. The manufacturer of a patient medicine claimed that it was 90% effective in relieving an allergy fc period of 8 hours. In a sample of 200 people who had the allergy, the medicine provided relief for 160 people. Determine whether the manufacturer's claim is legitimate by using 0.01 as the level of significance. Step 1: State the null (Ho) and alternative (H) hypothesis. Step 2: Determine the statistical technique and level of significance. Step 3: Establish the Critical region/ decision rule. Step 4: Compute for the test statistic. pa/n Step 5: State the decision.
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