A manufacturer claims that the average monthly waste number of production made in its factory is less than 20. The randomly selected 7-month loss figures are given below. Test the manufacturer's claim at the 5% significance level. February March April June September November January 48 || 22 15 65 38 20 28
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- In a large country, the proportion of fatal traffic accidents in which the diver had a high BAC (Blood Alcohol Consumption) is 35%. Suppose a random sample of 107 fatal traffic accidents in a certain region, 47 of them had a high BAC. Does this evidence suggest that the region has a higher proportion of fatal traffic accidents with a high BAC than the rest of the country, a=0.05 level of significance? Use the p value approachAmoung 198 smokers who underwent a "sustained care" program, 51 were no longer smoking after six months. Use a 0.05 significance level to test the claim that the rate of smoking cessation is greater with the sustained care program. P-vaule: 0.004The sales rep of a waterbed claims that 25% of the Filipino died because of cardiovascular diseases. A researcher wants to test this claim. A hospital record shows that out of a random sample of 200 dead patients, 55 patients died because of cardiovascular diseases. Does the data provide sufficient evidence to support the claim of the sales rep? Use 0.03 level of significance.
- A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that themeals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of significance. What is the p-value of the test?In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights. suppose that, in a more recent poll, 399 of 1099 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat diner together seven nights a week has decreased? use the a=0.05 significance levelThe U.S. Bureau of Printing and Engraving is responsible for printing thiscountry’s paper money. The BPE has an impressively small frequency of printingerrors; only 0.5 percent of all bills are too flawed for circulation. What is theprobability that out of a batch of 1,000 bills. At least two are too flawed forcirculation?
- A random sample of n1 = 300 voters registered in the state of California showed that 143 voted in the last general election. A random sample of n2 = 216 registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time.b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98 percent. Answer this using the T-distribution table ONLY. Question 2. In 2002, the average duration of incoming telephone calls to a furniture store was 9.4 minutes. The manager wants to perform a test to determine whether this average durationof incoming calls has changed. Twenty calls to the store was randomly selected and the mean duration was 10.2 minutes with standard deviation 4.8 minutes. Assuming that the duration of incoming telephone calls to a furniture store is normally distributed,a) Use a 1% level of significance to test whether the mean duration of incoming calls to the store had changed. Calculate using the Statistical T Distribution Table ONLY.In a previous poll, 37% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 418 of 1183 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α=0.05 significance level. Find the test statistic, z0. Find the p-value.
- In the past, 85% of a lawn-care service’s continue with the service the following year. Last year, theservice changed management. In a sample of 120 customers, 96 are going to continue using the servicenext year.a) Test the hypothesis (at the 5% level of significance) that the proportion of repeat customers haschanged? b) What is the p-value?A market research study hopes to determine if the average sales of house entertainment units will increase in a test market with the introduction of a new package. Sales recorded in a 32-day period for the old package and a 30-day period for the new package were as follows: What can be concluded at 2.5% significance level? Use the Ten Step Process. Level of Significance:___________________________________________________ Test Statistic:_________________________________________________________ Formula:_____________________________________________________________A random sample of 1100 potential voters was randomly divided into 2 groups. Group 1: 500 potential voters; no registration reminders sent; 248 registered to vote Group 2: 600 potential voters; registration reminders sent; 332 registered to vote Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not? Use a 1% level of significance.