X 3. Determine (a) the y test statistic, (b) the degrees of freedom, (c) the P-value, and (d) test the hypothesis at the a=0.05 level of significance. Observed Expected 4. 41 120 441 385 1.6 25.4 1522 405.9 405.9 Ho: The random variable X is binomial with n= 4, p=0.8 H: The random variable X is not binomial with n=4, p= 0.8 Click the icon to view the chi-square distribution table. (a) x-0 (Round to two decimal places as needed.)
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- Chố. "A carpet manufacturing company is comparing the tensile strengths of two different types of synthetic fiber. Synthetic fiber A used in manufacturing carpet has tensile strength that is normally distributed with mean 75 psi and standard deviation 12 psi, and synthetic fiber B has tensile strength that is 70 psi and standard deviation 12 psi. Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that 3.5 < XA- XB <6.5. Determine the value of zs. P(Q9 Z is a standard normal random variable. The P (Z=1.41) equals Question 9 options: 0.0000 0.0793 0.4978 0.0030Answer True or False. For each false statement, explain why the statement is false. I need the answer correct and fast please. i.i.d. 8. Consider a normal random variable X N(H, o2) and a corresponding random sample {x1,..., xn}, where n = 1138. An estimator of the mean i = „ x; is downward n biased, however it is asymptotically unbiased.Let X be a normal random variable. Which of the following represents the statement "74.37% of all the X values are at most 68"? O P(X>= 68) = 0.7437 O P(X>= 74.37) = 0.6800 O P(X <= 74.37) = 0.6800 O P(X <=68) = 7437Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random D samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. n X 5 QUEEN Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. c. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. 04-4³0 (Round to three decimal places as needed.) Male BMI Female BMI H 41 27.2986 8.038297 1₂ 41 24.2674 4.558194It is believed that 70% of males pass their drivers test in the first attempt, while 65% of females pass the test in the first attempt. A test will be conducted to check whether the proportions are in fact equal. a. State the hypotheses in terms of the appropriate parameter(s)b. Determine if the samples are independent or dependentc. Identify the random variable, and its distribution (either normal or t-distribution), along and explain this choice. d. Identify the test to be used.10Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(-csZsc)=0.9625 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. ?14 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a n 0.10 significance level for both parts. X a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H=H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for e test. GELER OB. Ho: H1 H2 H₁: Hy > H₂ Treatment Placebo Hy 1/2 OD. Ho: H₁ H₂ H₁: HyLet Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(1.18Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(Zsc)=0.8888 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.-5 26 28 30 32 33 34 35\ Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(0.9SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. 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