3. Powder milk is packed in 1-kilogram. An inspector from the Department of Trade and Industry (DTI) suspects the bags may not contain 1 kilogram. A sample of 40 bags produced a mean of 0.96 kilogram and a standard deviation of 0.12 kilogram. Is there enough evidence that the bags do not contain 1 kilogram? Use a = 0.01.
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- Find the quantity (deviance) for testing the hypothesis H0 and the pvalue usedGiven the situation below, create a problem and determine (a) the null and alternative hypotheses, (b) test statistic, (c) rejection region, and (d) applicability of the CLT.Which of the following is the best description of a multiple-baseline design? a. A study that takes several measures on nonequivalent groups before and after treatment. b. A study that takes baseline measures, then introducing the independent variable, and then retaking the baseline measures. c. A study that assesses the effects of introducing the treatment at different times over multiple subjects, behaviors, or situations. d. A study that reintroduces the independent variable after the second baseline measure.
- Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10. H0:pE=pWHa:pE≠pW In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pWrepresents the proportion of times she needs to stop at the crossing when using route W. All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test? The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the…Which of the following best describes the steps involved in hypothesis testing? Step 1: State the hypotheses Step 2: Find the critical value Step 3: Find the obtained statistic Step 4: Make a decision Step 1: State the hypotheses Step 2: Make a decision Step 3: Find the critical value Step 4: Find the obtained statistic Step 1: Find the obtained statistic Step 2: Find the critical value Step 3: State the hypotheses Step 4: Make a decision Step 1: Find the critical value Step 2: State the hypotheses Step 3: Find the obtained statistics Step 4: Make a decisionFollow the steps in testing hypothesis to answer the problem:
- State whether each hypothesis is null or alternative. 1. Students using i brand A ballpens write better than those using brand B balipens. 2. There is no s gnificant difference between the average consumption of gasoline in carA and the average consurption of gasoline in car B. 3. The proportion of senior high school graduates in a certain school is 10% of the entire population. 4. The average iricome of families per month in a certain town is 38,000 pesos. 5. The proportion of husbands using motorcycles in region 2 is more than 50%. 6. The proportion of patients with lung cancer is higher among smokers than among nonsmokers. 7. The proportion of senior high school students who enrolled in HUMSS strand is not equal to 80%. 8. An airline claims that less than 12% of its entire lost luggage is never found. 9. The proportion of COVID 19 patients who have asymptomatic cases is less than 25%. 10. The propcrtion of students who will use distance learning in the entire population is more than…Solve the problems by following the steps and procedures in hypothesis testing. PRACTICE QUESTIONuse the info uploaded to determine: a) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. b) Interpret your conclusion in the context of the application.Reject the null hypothesis, there is sufficient evidence that the mean rate of hay fever is lower for the age group over 50.Reject the null hypothesis, there is insufficient evidence that the mean rate of hay fever is lower for the age group over 50. Fail to reject the null hypothesis, there is…
- The proportion of mango trees on an island that produce only dwarf fruit is p1. The proportion of mango trees on a different island that produce only dwarf fruit is p2. What is the null hypothesis for a test to determine if the proportions are different between the two islands? Select the correct answer below: H0: p1−p2≠0 H0: p1−p2=0 H0: p1−p2>0 H0: p1−p2<0State whether each hypothesis is null or alternative. 1. The average iricome of families per month in a certain town is 38,000 pesos. 2. The proportion of husbands using motorcycles in region 2 is more than 50%. 3. The proportion of patients with lung cancer is higher among smokers than among nonsmokers.Answer A, B1, and B2: A. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. B. Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level…