A one sample t-test is conducted with Ha: µ < 1O. Based on significance level of 0.05 and samples of n= 5, Họ suggests 95% of all possible samples have t-values higher than -2.132 97.5% of all possible samples have t-values between -2.132 and +2.132 95% of all possible samples have z-scores less than +1.96 97.5% of all possible samples have t-values between -2.013 and +2.013 95% of all possible samples have t-values higher than
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- Currently patrons at the library speak at an average of 66 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 69 people speaking at the library. Their average decibel level was 67.7 and their standard deviation was 13. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ = < > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton…200 patients involves 200 particpants in comparing an experimental medication to a placebo. Each person enrolled is randomized to recieve either the experimental medication or placebo. Data is collected at the end of the study after 6 weeks. Test if there is significant difference in mean systolic blood pressures between grouos using a=0.05. Meqn of 174 standard deviation of 19.5 Mean systolic blood pressure: experimental (n= 100) 120.2 (15.4) placebo (100) 131.4 (18.9) Hypertensive (%) exp. 14 placebo 22 Side effects (%) exp. 6 placebo 8A simple random sample of 101 course evaluations had a mean x¯x¯ = 3.90 with a standard deviation s = 0.52. Use a 0.05 significance level to test the claim that the population of course evaluations has a mean less than 4.00.
- An investigation of the ability of a hybrid tomato plant to produce a certain protein found that the amount x of the protein produced in the plant had a mean of 111.5 micrograms per gram of fresh weight with a standard deviation of 8.2. Consider a random sample of n = 66 hybrid tomato plants and let x represent the sample mean amount of the protein produced. Would it be expected to observe a value of x less than 110 micrograms per gram of fresh weight? Explain. Consider an event with a probability less than 0.05 unlikely. Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) O A. It would not be expected to observe a value of x less than 110 micrograms per gram of fresh weight because the probability of such an event is which is unlikely. O B. It would not be expected to observe a value of x less than 110 micrograms per gram of fresh weight because the probability of such an event is which is not unlikely. C. It would…A random sample of 28 records of automobile driver fatalities in kit carson coybry showed 15 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alochol is less than 77%. Use a=0.01 to determine the test statistic, the critical value, and p value.The average amount of time it takes for couples to further communicate with each other after their first date has ended is 3.31 days. Is this average shorter for blind dates? A researcher interviewed 63 couples who had recently been on blind dates and found that they averaged 3.2 days to communicate with each other after the date was over. Their standard deviation was 0.501 days. What can be concluded at the the α = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0: H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 3.31 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean time for couples who…
- The average retirement age in America is 62 years old. Do small business owners retire at a different average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 69, 62, 73, 55, 74, 56, 60, 65, 75, 59, 66, 57, 61, 68 What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should use Correct The null and alternative hypotheses would be: H0:H0: Correct Correct Correct H1:H1: Correct Correct Correct The test statistic Correct = Incorrect (please show your answer to 3 decimal places.) The p-value = Incorrect (Please show your answer to 4 decimal places.) The p-value is Correct αα Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly different from 62 at…Recently, a simple random sample of 572 adult males showed that 124 of them smoke. It has been established that in 2008. 20.4% of adults smoke. Use a 0.05 significance level to test the claim that the rate of smoking by adult males is now the same as in 2008. What is the value of the critical z tabular value?A manufacturer’s process for analyzing aspirin tablets has a known variance of 25. A sample of ten aspirin tablets is selected and analyzed for the amount of aspirin, yielding the following results: 254, 249, 252, 252, 249, 249, 250, 247, 251, and 252. Determine whether there is any evidence that the measurement process is not under statistical control at a = 0.05.'
- 13 0/2.7E Arandom sample of n =755 US cell phone users age 18 and older in May 2011 found that the average number of text messages sent orreceived per day is 41.5 messages, with standard error about 6.1. 1. Smith, A, "Americans and Text Messaging." Pew Research Center, http://www.pewinternet.org/Reports/2011/Cell-Phone-Texting- 2011/Main-Report/How-Americans-Use-Text-Messaging.aspx, accessed September 19, 2011. Z . Your answeris incorrect. (a) Use the information from the sample to give the best estimate of the population parameter. e Textbook and Media Hint Your answer is incorrect. (b) Find a 95% confidence interval for the mean number of text messages. to i | The 95 % confidence interval is O 70°F Sunny 0 ch 宜Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05/ What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(45/sqrt(21)) = -.2037 O I test score = (108-110)/(21/sqrt(45)) = -.639 T test score = (108-110)/(21/sqrt(45)) = .639 I test score = (110-108)/(21/sqrt(45)) = .639