Question 1
Here n = 19 and alpha = 0.05 ,
Degree of freedom dF = 19 - 1 = 18
Here Lower Critical value = X20.975,18 = 8.23
Upper Critical value = X20.025,18 = 31.53
Question 2
H0 : σ > 0.01 mm
Ha : σ < 0.01 mm
Here n = 15
alpha = 0.01
Here test statistic
Xo2 = (n-1)s2/σ02 = (15 - 1)*0.0082/0.012 = 8.96
Here critical value of chi - square
X2critical = X20.99,14 = 4.66
so here
X02 > X2critical so we failed to reject the null hypothesis and can conclude that there is strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 mm.
Consider the test of Ho σ2-9 against H 1: σ. 9 what are the cntical values...
Consider the test of H0:σ2=10 against H1:σ2>10. What is the critical value for the test statistic X02 for the significance level α=0.005 and sample size n=20? Give your answer with two decimal places (e.g. 98.76).
A rivet is to be inserted into a hole. A random sample n=15 of parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s=0.008 millimeters. Construct a 99% lower confidence bound for σ2 using MATLAB step by step . Please screenshot the MATLAB screen
Consider the test of H0:σ^2=7 against H1:σ^2>7. What is the critical value for the test statistic X02 for the significance level α=0.05 and sample size n=19? Give your answer with two decimal places (e.g. 98.76). Enter your answer in accordance to the question statement Thank you!
10. If the standard deviation of hole diameter is different from 0.01 mm, there is an unaccepublyhip probability that the rivet will not fit in. Suppose sample measurements of 15 hole diameters produoed a standard deviation of 0006m, (a) Is there strong evidence to indicate that the standard deviation of hole diameter is different fromexe at a 10% level of significance? State any tecestry assumptions about the underlying annunum of m: data. (5 marks) (b) Find a range for the...
Consider the hypothesis test H0: σ1 = σ2 against H1: σ^21 ≠ σ^22 with known variances s1 ^2= 2.3 and s^2 2 = 1.9. Suppose that sample sizes n1 = 15 and n2 = 15. Use α = 0.05. a. Parameter of Interest b. Null and Hypothesis c. test statistic d. reject Ho if e. computation f. conclusion
To test Ho: σ= 2.4 versus H 1 : σ 12.4, a random sample of size n 21 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s 1.2, compute the test statistic. x8-D (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α 0.05 level of significance, determine the critical values. The critical values are χ2025-Dand 9751...
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample of size n-58 is drawn, and x-1 The population standard deviation isa . Part 4 out of 4 Sub Determine whether to reject Ho. Since the test statistic (select) in the critical region, we (select) α-0.05 level. Tim - Ho at the Since the test statistic (select) in the critical region, we (select) α 0.01 level. -Ho at the
To test Ho: σ=4.6 versus H1: σ≠4.6, a random sample of size n=11 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=5.6, compute the test statistic. (b) If the researcher decides to test this hypothesis at the α=0.01 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis?
I want the answer rounded to two decimal places.
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wished to test Upper HO:mu> 175 against H1: mu > 175 millimeters, using the results of n =10 samples. If the sample mean is equal to 190 millimeters, find the value for the test statistic zo. Round your...
A paired difference experiment yielded the results shown below nd 45 a. Test Ho: μ,-11 against Ha: μd # 11 where μ,-(μι-Hz). Use α:0.01 b. Report the p-value for the test you conducted in part a. Interpret the p-value a. Determine the test statistic The test statistic is (Round to two decimal places as needed.) Identify the rejection region. Select the correct choice below and fill in the answer box to complete your choice (Round to three decimal places as...