A batch of tablets has mean drug content of 150 mg with standard deviation of 5 mg. 80% of the tablets have drug content between -_and ---mg with 10% tablets above and 10% tablets below this range.
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- A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.Fifty patients with high lipoprotein and thirty patients with low lipoprotein were observed. None of them had ischemic stroke initially. But after eight years, a total of 36 of them had ischemic stroke. Results are shown in the table below: see attached photo Compute for the relative risk in developing ischemic stroke in eight years among population with high lipoprotein versus patients with low lipoprotein. Source: Nave, A. H., & von Eckardstein, A. (2019). Is lipoprotein (a) a risk factor for ischemic stroke and venous thromboembolism?. Clinical research in cardiology supplements, 1-5 1.2 1.4 1.8 2.5A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of theprobability that the number landing face up will be less than 3 ?(A) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3.(B) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2.(C) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.(D) For three rolls of the die, a number less than 3 will land face up one time.(E) It will take three rolls of the die before a number less than 3 lands face up for the first time.
- Suppose a researcher is interested in the relationship between periodontal disease and a number of negative health outcomes. One outcome of particular interest to the researcher is hypertension (assume defined as systolic blood pressure above 140 mmHG). Suppose a team gathers a SRS of 348 participants with periodontal disease, and finds the sample average systolic blood pressure to be 157 mmHG. A) Using an assumed σ=16 mmHG, conduct a 1 sample Z test to determine if there is a relationship between periodontal disease and hypertension in this population. (Use α=0.05)There's a new treatment for addiction and because resources are limited, a program decides it can offer it only to those people whose ASI scores are in the top 10% of scores. What raw score on the ASI would a person have to have to be eligible for the program?Calculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??
- Classify the following statements as to whether they belong to the area ofdescriptive statistics or inferential statistics___________________ 1. At most 5% of SLU students are smokers.___________________ 2. Assuming that less than 20% of the Kalinga coffee beans weredestroyed by a typhoon these past months, we should expect anincrease of no more than P30 for a kilogram of coffee by the endof the year. ___________________ 3. An employee generalized that the average monthly salary of a regular employee in a certain company is P12,000. ___________________ 4. A study found out that all customers who have received a giftcertificate from a store 75% went back to the store to shop.___________________ 5. The average grade in statistics of 50 students is 83.60.A taxi company manager is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over a prescribed test course. Without changing drivers, the same cars were then equipped with regular belted tires and driven once again over the test course. The gasoline consumption, in kilometers per liter, was recorded as follows: (image attached) Can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires? Assume the populations to be normally distributed. Use both p-value and critical value approach.
