A manufacture of mouthwash claims their product contains 10% of the active ingredient by volume. In a sample of 100 1-liter bottles had total of 14 liters of active ingredient. Is there enough evidence say that the active ingredient in this brand of mouthwash is different from 10%? Use a =0.05. 1. Identify the parameter 5. р-value 2. Null Hypothesis 3. Alternative Hypothesis 6. Conclusion 4. Test Statistic
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- Doritos chips are one of the most popular chips in the year 2020. Frito-Lay produces snack-sized bags of Doritos with 1.75-ounce bags. Unfortunately, Frito-Lay has received many complaints that the bags of chips lack the promised amount of chips. PepsiCo, the owner of Frito-Lay, decide to run an internal investigation of their Doritos chip production. They sample around 500 bags of chips to discover that they found an average of 1.59 ounces with a standard deviation of .12 ounces. Conduct a hypothesis test with an alpha-level of .05. Should they change their production of Doritos chips to match the 1.75 ounces on the bag?A sample of 50 chewable vitamin tablets have a sample mean of 230 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet exceeds 225 milligrams. State the appropriate null and alternative hypotheses.The EPA recommends avoiding consumption of fish species if the mercury concentration is higher than 0.45 (ug mercury/g uncooked fish). The concentration in a large random sample of marlin was found to be 0.42 ug/g with a margin of error = 0.06 ug/g. Explain whether the EPA should consider marlin a species to avoid for consumption.
- The U.S. Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the a = 0.05 level? Are the results applicable across the country? Why?A sample of 60 chewable vitamin tablets have a sample mean of 298 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 299 milligrams. State the appropriate null and alternate hypotheses.he mean time taken to submit an assignment by a student was 20 days according to the previous semester record. he Exam office claimed that this year the submission time increased due to the natural calamities. Was the ubmission time really increased or not. Test the hypothesis with a 5% level of significance. The time taken by 15
- A consumer analyst reports that the mean life of the selected 50 certain type of automobile batteries is not 74 months. 7. Parameter: 8. Null Hypothesis: 9. Altenative Hypothesis:A school nurse wants to determine if there is a significant relationship between the height and weight of students. The table below shows the height and weight given in cm and kg, respectively, of 10 students in a class. Test the hypothesis using 0.05 level of significance. Then, if possible, predict the estimated weight of a 180 cm-tall student.The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 290 Americans is administered the acupuncturists treatment and 41 report experiencing migraines.a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^=c. Suppose the P-value is calculated to be 0.0099What would your decision be for this test using α=α= 0.01? accept the null fail to reject the null reject the null d. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.
- A researcher wanted to determent mine if there was a significant difference in fat content between cookie dough and vanilla ice cream. So the researcher went to Safeway and recorded the fat in one serving (8 ounces) for all the brands of vanilla and cookie dough ice-cream. The results of their “research” is summarized in the following table. What statistical test should be performed to test the hypothesis? Perform the test and report the test statistic’s value and any other relevant information. With a 95% confidence level, are the results statistically significant? Cookie Dough (g) Vanilla (g) 13.5 12.9 14 12.5 13.6 11.5 12.9 10 13 10 9 11The supervisor of an orange juice-bottling company is considering the purchase of a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of 100% pure orange juice and wants an estimate of the difference in the mean filling weights between the new machine and the old machine. Random samples of bottles of orange juice that had been filled by both machines were obtained. Estimate the difference in the mean filling weights between the new and the old machines? Dis- cuss the assumptions. Use α = 0.10. New Machine Old MachineMean 470 milliliters 460 millilitersStandard deviation 5 milliliters 7 millilitersSample size 15 12In general terms, describe the procedure used to perform the Sign Test when testing for equal means from two dependent populations (i.e. H0 : µD = 0 versus H1 : µD 6= 0 where µD = mean of the difference “Pre-Post). If needed, construct a sample table of data to explain the procedure.