a. State the null and the alternative hypotheses b. compute the test statistic c. determine the critical value and the rejection region d. draw a conclusion
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a. State the null and the alternative hypotheses
b. compute the test statistic
c. determine the critical value and the rejection region
d. draw a conclusion
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- The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 34 randomly selected calls. The mean wait time was calculated to be 4.61 minutes. Assuming the population standard deviation is 1.93 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 95% level of confidence? Step 3 of 3 : Draw a conclusion and interpret the decision. Answer A.We reject the null hypothesis and conclude that there is sufficient evidence at a 95% level of confidence to support the claim that the mean wait time is longer than 4.00 minutes.B. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 95% level of confidence to support the claim that the mean wait time is longer than 4.00 minutes. C.We fail to reject the…The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. A random sample of 40 apples was selected, and the mean weight was 390 grams. Let μ = the true mean weight of the Granny Smith apples in the orchard. Under the assumption that the true mean weight of Granny Smith apples is 380 grams, 100 simulated means for samples of size 40 are shown in the dotplot. Using the dotplot, is there evidence that the true mean weight of Granny Smith apples is greater than 380 grams? Yes, since a sample mean weight of 390 grams or more only occurred once in 100 simulated values, there is evidence that the true mean weight is greater than 380 grams. Yes, since a sample weight of 390 grams is greater than the mean weight of 380 grams, there is evidence to prove that the true mean weight of the apples is greater than 380 grams. No, since a sample mean weight of 390 grams is only 10 grams more than a mean weight of 380 grams, there is insufficient evidence that…The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 34 randomly selected calls. The mean wait time was calculated to be 4.61 minutes. Assuming the population standard deviation is 1.93 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 95% level of confidence? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
- according to the national automobile dealers association, the mean price for used carsis $10,192. a manager of a kansas city used car dealership reviewed a sample of 50recent used car sales at the dealership in an attempt to determine whether the populationmean price for used cars at this particular dealership differed from the national mean. theprices for the sample of 50 cars are shown in the file named usedcars.a. formulate the hypotheses that can be used to determine whether a difference exists inthe mean price for used cars at the dealership.b. what is the p-value?c. at a = .05, what is your conclusion?Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 11 randomly selected patients who went to the emergency room at rural hospitals waited an average of 2.7 hours to be admitted into the hospital. The standard deviation for these 11 patients was 2.9 hours. What can be concluded at the the αα = 0.05 level of significance level of significance?The Bureau of Transportation tracks the flight arrival performances of the 10 biggest airlines in the UnitedStates. Flights that arrive within 15 minutes of schedule are considered on time. Using sample data consistentwith Bureau of Transportation statistics, in January 2001, a sample of 924 flights showed 742 on time and inJanuary 2002, a sample of 841 flights showed 714 on time. Test the hypothesis at a 0.05 level of significanceto determine whether the major airlines improved on-time flight performance during the one-year period. Compute for: null and alternative hypothesis in words level of significance and critical value/s and region (graph it please) compute the test statistic decision state the conclusion
- In 2002, the average duration of incoming telephone calls to a furniture store was 9.4 minutes. The managerwants to perform a test to determine whether this average duration of incoming calls has changed. Twentycalls to the store were randomly selected and the mean duration was 10.2 minutes with standard deviation4.8 minutes. Assuming that the duration of incoming telephone calls to a furniture store is normallydistributed,a) Using a 1% level of significance, test whether the mean duration of incoming calls to the store hadchanged. b) Construct the 95% confidence interval for the population mean duration of the incoming calls tothe furniture store.An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpmwpm). To test the claim, a random sample of 50 workers from the agency were given a typing test, and the average typing speed was 58.8 wpmwpm. A one-sample tt-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpmwpm. The resulting pp-value was 0.267. Which of the following is a correct interpretation of the pp-value? The probability is 0.267 that the mean typing speed is 60 wpmwpm or more for workers from the agency. A The probability is 0.267 that the mean typing speed is 60 wpmwpm or less for workers from the agency. B The probability is 0.267 that the mean typing speed is 58.8 wpmwpm or less for workers from the agency. C If the mean typing speed of workers from the agency is 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8…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 duration of incoming calls has changed. Twenty calls to the store were 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) Using a 1% level of significance, test whether the mean duration of incoming calls to the store had changed.b) Construct the 95% confidence interval for the population mean duration of the incoming calls to the furniture store.
- 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:_____________________________________________________________In a recent year, 73% of firstyear college students responding to a national survey identified being very well-off financially as an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is important. Is there convincing evidence at the a = 0.05 significance level that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%? Write a state, plan, do, Conclude,A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.35 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.08 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).