In a test of the hypothesis Ho: = 10 versus Ha: H10, a sample of n = 50 observations possessed mean x = 10.8 and standard deviation s = 3.3. Find and interpret the p-value for this test. The p-value for this test is ☐. (Round to four decimal places as needed.)
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- Suppose that a sample is taken with an average of 110 and a standard deviation of 15. Calculate the z-score associated with a value of 130. Round your answer to two (2) decimal points.(2 points) Suppose that we are to conduct the following hypothesis test: Ho p H₁ == 1050 1050 στ == Suppose that you also know that σ = 250, n = 95, 1090, and take a = 0.1. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-00, a) is expressed (-infty, a), an answer of the form (b, x) is expressed (b, infty), and an answer of the form (-00, a) U (b, c) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: A. Do Not Reject H₁. B. Do Not Reject Ho- C. Reject Ho D. Reject H₁.In a simple linear regression based on 20 observations, it is found b1 = 3.05 and se(b1) = 1.30. Consider the hypothesis : H0 : β1 = 0 and HA : β1 ≠ 0 . Calculate the value of the test statistic.
- Read the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using a = .0901, z = O -1,96 O -1.86 O -1,34 O -1.645 O o o oK Conduct a test at the α = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁> P2. The sample data are x₁ = 116, n₁ = 244, x2 = 132, and n₂ = 313. (a) Choose the correct null and alternative hypotheses below. OA. Ho P1 P2 versus H₁: P1 P2 OB. Ho P₁ P2 versus H₁: P₁ P2 OD. Ho p₁ =0 versus H₁:.p₁ #0 (b) Determine the test statistic. Zo= (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #p2- OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ P2- OD. Reject the null hypothesis because there is sufficient evidence to conclude that p₁…The following is a set of data from a sample of n= 11 items. Complete parts (a) through (c). 14 13 4 15 3 16 12 10 19 1 Y 28 26 8 30 6 32 24 20 38 2 a. Compute the covariance. |(Round to three decimal places as needed.) b. Compute the coefficient of correlation. (Do not round until the final answer. Then round to three decimal places as needed.) c. How strong is the relationship between X and Y? Explain. O A. X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope. B. X and Y have a strong positive correlation because as X increases, Y tends to increase also. C. X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope. D. X and Y have no correlation. 124
- A sample of n=16 observations is drawn from a normal population with µ=1000 andσ=200. Find the following.i) P(X >1050)If we want a 96% confidence interval on population mean with a sample size of 23, find z α/2 or t α/2 Group of answer choices: A) t = 2.183 B) z = 1.96 C) t = 2.177 D) z = 2.05Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 18 18 14 11 8 8 10 17 12
- Review each of the following independent sets of conditions. For each condition, calculatethe (1) sample rate of deviation, (2) ULRD, and (3) allowance for sampling risk (n = samplesize, d = deviations, ROO = risk of overreliance). What is your conclusion regarding therelationship of each of these factors to the ULRD based on comparing the ULRD across different combinations of these factors?a. n = 100, d = 8, ROO = 5%.b. n = 100, d = 4, ROO = 5%.c. n = 100, d = 8, ROO = 10%Round each z-score to the nearest hundredth.A data set has a mean of x = 6.2 and a standard deviation of 2.2. Find the z-score for each of the following. (a) x = 6.2(b) x = 7.2(c) x = 9.0(d) x = 5.0What is the standard deviation of a random variable q with the following probability distribution? (Do not round intermediate calculations. Enter your answer in numbers not in percentage. Round your answer to 4 decimal places.) Value of q 0 1 2 Probability 0.30 0.22 0.48 Standard deviation