13. The restaurant owner claims that the average cost of his customers' purchases is P325.00, when in fact it is not. What type of error did he commit? A. Alpha B. Correct Decision C. Type I Error D. Type II Error
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- A college student organization wants to start a nightclub for students under the age of 21. To assess the support of this proposal, they will select a SRS of students and ask each respondent if he or she would patronize this type of establishment. What sample size is required to obtain a 90% confidence interval with an approximate margin of error of 0.04?An athlete has just been dealted by both the NBA to play professional basketball and by to play professional baseball, In order to assist him in deciding which offer to pursue, he enlists a statistician to whether or not NBA athletes or MLB athletes are more likely to suffer a concussion. The statistician believes that athletes in both leagues are equally likely to suffer a concussion, but decides to test this belief at the alpha = 0.05 level of significance using a confidence interval. Let PN represent the proportion of NBA players that have suffered from a concussion and represent the proportion of MLB players that have suffered from a concussion. (Round your results to three decimal places) 1.Which would be correct hypotheses for this test? O H 0 :p N =p M ,H 1 ;p N ne p M O H O :p N ne p M H 1 :p N >p M l 0 :p N =p M ,H 1 :p N <p M O H 0 :p N =p N ,H 1 : mathfrak p N >p M O 2. If we are going test this using a confidence interval, which confidence literval should we…A researcher for the National Highway Traffic Safety Administration wishes to estimate the average bloodalcohol concentration (BAC) for drivers involved in fatal accidents who are found to have positive BAC values.He randomly selects records from 1,200 such drivers and determines the sample mean BAC to be 0.16g/dL.and standard deviation 0.08 g/dL. Construct a 96% confidence interval for the mean BAC.
- Suppose Apple claims that the average wait time for a customer calling the Apple Care support line is 175 seconds. A random sample of 40 customers had an average wait time of 187 seconds. Assume the population standard deviation for wait time is 50 seconds. a. Using a 95% confidence interval, does this sample support Apple’s claim?The manager drew a sample of 30 delivery time in June and found that the mean delivery time is 17 minutes with standard deviation of 2.3 mins and a sample of 30 in August has mean and standard deviation of 17.5 minutes and 2 minutes. Do a hypothesis testing to determine if the time difference is significant or not. Use 95 per cent confidence levelSuppose a researcher is interested in a new treatment plan for CD4 cell count in immune-compromised patients with HIV. In order to investigate the new drug, the researcher gathers a group of 25 individuals with a mean CD4 count of 335 cells/mm3 after treatment with a standard deviation of 12.1. Test the hypothesis that the mean CD4 count goal is not 329.28 cells/mm3. Perform a two-way directional test, complete the 5 step process and calculate the appropriate confidence interval. (Use an alpha level of 0.01 what is the critical value?
- Suppose a researcher is interested in a new treatment plan for CD4 cell count in immune-compromised patients with HIV. In order to investigate the new drug, the researcher gathers a group of 25 individuals with a mean CD4 count of 335 cells/mm3 after treatment with a standard deviation of 12.1. Test the hypothesis that the mean CD4 count goal is not 329.28 cells/mm3. Perform a two-way directional test, complete the 5 step process and calculate the appropriate confidence interval. (Use an alpha level of 0.01A trucking fleet-owner owns two semi-trucks and wishes to compare the amount of fuel used per week by the two vehicles. In a random sample of 100 weeks, truck #1 used a mean volume of 340 gallons with a standard deviation of 11 gallons. In a second, independent random sample of 100 weeks, truck #2 used a mean volume of 331 gallons with standard deviation 6 gallons.It is of interest to construct a confidence interval for the difference in population means using a confidence level of 90 percent. ?1−?2, where ?1 is the mean fuel volume used by truck #1 and ?2 is the mean volume of fuel used by truck #2. Note: 340−331=9 and 112100+62100‾‾‾‾‾‾‾‾‾‾‾√=1.25299640861417 Your answers below should be entered as numbers. Do not round during intermediate steps. If you round an answer, make sure you do so correctly and keep at least three decimal places. (a) The estimate is: gallons. (b) The standard error is: gallons. (c) The multiplier is: .A factory produces steel sheets whose weights are known to be normallydistributed with a standard deviation of 1.7kg. A random sample of 47 sheetshad a mean weight of 27.3kg. Construct a 95% confidence interval for thepopulation mean.
- In a random sample of males, it was found that 21 write with their left hands and 210 do not. In a random sample of females, it was found that 56 write with their left hands and 440 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. -Test the claim by constructing an appropriate confidence interval. -Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?The board of a major credit card company requires that the mean wait time for customers when they call customer service is 3 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.4 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence that the mean wait time for customers is longer than 3 minutes with a 98% level of confidence? For the same problem as part A, construct an appropriate confidence interval based on the alpha level in A to support your conclusion from part A. Recall, if you rejected the null in part A, then your expected mean should not be included in the interval. If you failed to reject the null hypothesis, then the hypothesized mean should be in the interval. You should only need the appropriate critical value and margin of error in addition to values from part A. Correctly round your…On the basis of a random sample the null hypothesisH0 :µ= µ0is tested against the alternativeH1 :µ > µ0and the null hypothesis is not rejected at the 5% significance level.a. Does this necessarily imply that µ0 is contained in the 95% confidence interval for µ?b. Does this necessarily imply that µ0 is contained in the 90% confidence interval for µ if the observed sample mean is larger than µ0?