A certain population follows a normal distribution with mean µ and standard deviation 0.68 you collect data on 4 members and test the hypothesis Ho µ = 100 ,H,> 100 The calculated value of the test statistic is z= 2.42 then P- value = 0.9922 O 0.0125 O 0.0078 none 0.0156 O 0.9868
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- The times taken by workers to assemble a certain kind of cell phone are normally distributed with mean 19.5 minutes and a standard deviation 3.8 minutes. Find the probability that one such phone will require less than 15.7 minutes in assembly The probability that a phone will require less than 15.7 minutes in assembly is ( Round to three decimal places as needed.)Español According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 51 months. A researcher for a consumer advocate group tests this by selecting 90 bulbs at random. For the bulbs in the sample, the mean lifetime is 52 months. It is known that the population standard deviation of the lifetimes is 7 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, µ, of light bulbs made by this manufacturer differs from 51 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. |(Choose one) D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ODoes it reject null hypothesis (Ho)Lengths of human pregnancies have a bell-shaped distribution with mean 266 days and standard deviation 16 days. Based on the graph that is labeled through the use of the Empirical Rule, what percentage of human pregnancies last less than 234 days and what percentage of human pregnancies last more than 282 days?Q/ In the vehicle speed test, the results are given in the table below: Find 1. Arithmetic mean 2. Standard deviation 3. Skew coefficient 4. Kurtosis coefficient * Speed range (km/hr Speed range (km/hr Frequency(fi) Speed range (km/hr Frequency(fi) Frequency(fi) 34-35.9 4 44-45.9 22 54-55.9 13 36-37.9 46-47.9 8 56-57.9 8 38-39.9 48-49.9 18 58-59.9 40-41.9 10 50-51.9 17 60-61.9 42-43.9 7 52-53.9 16 62-63.9* Question Completion Status: OC. 0.0099 d. 0.0918 QUESTION 3 EPA fuel economy estimates for automobile models tested recently predicts a mean of 24 mpg and a standard deviation of 6 mpg. Assume that a Normal model applies, N(24, 6 ). What mpg for the automobiles would be the cutoff value for the lowest 10% of the mpg's (the 10th percentile of gas mileage)? O a. 12.80 mpg O b. 10.00 mpg O c. 31.38 mpg O d. 16.32 mpg QUESTION 4Español A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 14 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.08 fluid ounces and 0.25 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, u, differs from 7 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. Ho :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) OThe Empirical Rule Based on Data Set 1 “Body Data” in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/μL.) Using the empirical rule, what is the approximate percentage of women with platelet counts a. within 2 standard deviations of the mean, or between 124.3 and 385.9? b. between 189.7 and 320.5?carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was found that the mean amount Test a claim that the mean amount e standard deviation is 2.12 parts per million. At a = 0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. carbon monoxide in the air for the random sample of 64 cities is 2.41 parts per million and the (a) Identify the claim and state Ho and H. Which of the following correctly states Ho and H? AA :°H "H (Type integers or decimals. Do not round.) The claim is the V hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to =U- (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. O B. "a O of (c) Find the standardized test statistic, t. The standardized test statistic is t=- (Round to two decimal nlaces as neadedA random sample of n1 = 49 measurements from a population with population standard deviation ?1 = 3 had a sample mean of x1 = 10. An independent random sample of n2 = 64 measurements from a second population with population standard deviation ?2 = 4 had a sample mean of x2 = 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known standard deviations.The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. H0: ?1 = ?2;…Pls show working Thank uExam scores on last year's Data Analysis final were normally distributed, with a mean (µ) of 67 and a standard deviation (o) of 12. If you took a random sample of the 36 students from last year's data analysis class final exam, what is the probability that the mean of their scores was greater than 70? 0.4013 0.4332 0.0668 0.0987SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON