State the null and alternative hypotheses for the above scenario.
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- Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given. 30 30 42 35 22 33 31 29 19 23 (a) Assume that the standard deviation of the odor threshold for untrained noses is known to be ?=7?g/Lσ To access the complete data set, click the link for your preferred software format: Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution. (b) STATE: What is the average (mean) DMS odor threshold, ?μ , for all untrained people? PLAN: Using the four‑step process, give a 95%95% confidence interval for the mean DMS odor threshold among all students. SOLVE: We have assumed that we…According to the CDC, the average weight of men in 1990 was 181 pounds. Consider a claim that the average weight of men increased by 2014. (https://abcnews.go.com/Health/average-weight-american-men-15-pounds-20-years/story?id=41100782) Use these hypotheses: H0:H0: μμ = 181(Population mean weight of men in 2014 is same as that in 1990) Ha:Ha: μμ > 181(Population mean weight of men in 2014 has increased) Based on sample data, you fail to reject the null hypothesis and compared to the unknown truth if your decision was wrong, then you would have made: Type I Error because H0H0 was incorrectly rejected. Type II Error because H0H0 was incorrectly not rejected. Based on sample data, you fail to reject the null hypothesis. Then your conclusion would be: The sample data support the claim that the average weight of men increased. There is not sufficient sample evidence to support the claim that the average weight of men increased.State the null and alternative hypotheses. We want to test if the most popular brand of soda contains 355ml. We want to test if the average recovery time for knee surgery patients is 8.2 weeks when exposed to a thorough exercise program.
- Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.4 parts/million (ppm). A researcher believes ean ozone level is at an insufficient level. Set up the hypotheses to test the researcher's claim. that the current State the null and alternative hypotheses for the above scenario.The average height of 18-year-old American women is 64.2 inches. You wonder whether the mean height of this year's female graduates from your local high school is different from the national average. You measure an SRS of 78 female graduates and find that x⎯⎯⎯x¯ = 63.1 inches. What are your null and alternative hypotheses? Note: Type in "mu" as the substitute for μμ and "!=" for ≠≠. H0:Ha:Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given. 30 30 42 35 22 33 31 29 19 23 SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯ . (Enter your answer rounded to one decimal place.) ?¯= ?g/? Find the standard deviation, ??√, of the sampling distribution of ?¯. (Enter your answer rounded to four decimal places.) ??√=
- A researcher noticed that today's adolescents seem to have higher rates of social anxiety than those of generations past. In 1990, the average level of social anxiety in adolescents was μ = 15.5. The researcher collects data by sampling 100 adolescent students from the tristate area and records their level of anxiety. Testing at an alpha level of a = .05, what will the researcher conclude about today's adolescents? a.) Step 1: State the Hypotheses H₂: H₁: b.) Step 2: Determine the critical region and draw it on the distribution above: df = c.) Step 3: Calculate the test statistic the sample mean is 16.5 and SS = 0.25 M= SM= tobs d.) Step 4: Make a decision. Circle one: Reject Null (Ho) or e.) State your conclusions about the research scenario in sentence form: tcritical = 72²= Fail to Reject Null (Ho) f.) Calculate an effect size in terms of the variance account for (2)? Do you characterize it as being small, medium or large?Sulfur compounds cause "off-odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine (ug/L). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given. 30 30 35 22 33 31 29 19 23 (a) Assume that the standard deviation of the odor threshold for untrained noses is known to be o = 7 ug/L. To access the complete data set, click the link for your preferred software format: Excel Minitab14-18 Minitab18+ Minitab18+ JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution. Choose the answer that best describes the stemplot. No. Although this is a SRS and o is known, a stemplot shows that the distribution has many outliers and therefore cannot…In 1992 a national vital statistics report indicated that about 2.3% of all births produced twins. Is the rate of twin births th same among very young mothers? Data from a large city hospital found only 7 sets of twins were born to 455 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed. MA: P >0.023 B. Ho: p=0.023 HA: P = 0.023 OC. Ho: p=0.023 HA: P<0.023 OD. The assumptions and conditions are not met, so the test cannot proceed. Determine the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. z = -1.08 (Round to two decimal places as needed.) B. The assumptions and conditions are not met, so the test cannot proceed. Find the P-value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. P-value = (Round to three decimal places as needed.) B. The assumptions and…
- According to the CDC, the average weight of men in 1990 was 181 pounds. Consider a claim that the average weight of men increased by 2014. (https://abcnews.go.com/Health/average-weight-american-men-15-pounds-20-years/story?id=41100782) Use these hypotheses: H0: μ = 181(Population mean weight of men in 2014 is same as that in 1990) Ha: μ > 181(Population mean weight of men in 2014 has increased) Based on sample data, you fail to reject the null hypothesis and compared to the unknown truth if your decision was wrong, then you would have made: Type II Error because H0H0 was incorrectly not rejected. Type I Error because H0H0 was incorrectly rejected. Based on sample data, you fail to reject the null hypothesis. Then your conclusion would be: The sample data support the claim that the average weight of men increased. There is not sufficient sample evidence to support the claim that the average weight of men increased.A diet center wanted to test three different methods for losing weight to determine if the average weight loss (reported in pounds/week) for each method is the same. The results for the three methods are tabulated below. Given that there is a significant difference between the three methods, use the Tukey test to determine if there is a significant difference between each pair of methods. Let a=0.05. (picture attached)Based on the data provided by the Environmental Protection Agency (EPA) in New York, we are interested to test whether wind speed varies significantly by month (May, June, July, August, September). 1.1 State the null and alternative hypotheses for the above research question.