Ans :
given that sample size n1 = 9
sample size n2 = 6
Test statistic :
t = 1.25
and it is given that test statistic has t distribution with 13 degrees of freedom
A company that manufacture electronic components wants to evaluate the following hypothesis test
To Test :
H0 :µ1- µ2 =0 versus H1 : µ1 - µ2 >0
this is right tailed t - test for two difference between two population mean
the p - value of this test is :
given significance level = 0.1
p-value = P(t>1.25/H0)
p- value = 0.116667
a) Ans :
The p - value of the test is 0.116667
b)
To Test :
H0 :µ1- µ2 =0
H1 : µ1 - µ2 >0
given that
1 = 832 , 2 = 779
n1=6
n2= 6
s1 = 40
s2 = 30
df = 9
The Lower bound of the confidence interval
(832 - 779 - (1.81)*20.41
(53 - (1.81 )*( 20.41) 0
(53 - 37)
16
The Lower bound of the confidence interval is 16
A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level...
QUESTION 4 A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1. A random sample of 15 components was taken; 9 were tested at 80° F (X1), and 6 were tested at 120° F (X2). Suppose the resulting test statistic is 1.1 and test statistic has t distribution with 13 degree of freedom. You fail to reject null hypothesis.
QUESTION 6 A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1. A random sample of 15 components was taken; 9 were tested at 80° F (X1), and 6 were tested at 120° F (X2). Suppose the resulting test statistic is 1.3 and test statistic has t distribution with 13 degree of freedom. Find the P-value of the test
QUESTION 5 A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1. A random sample of 15 components was taken; 9 were tested at 80° F (X1), and 6 were tested at 120° F (X2). Suppose the resulting test statistic is 1.3 and test statistic has t distribution with 13 degree of freedom. You fail to reject null hypothesis. True False
QUESTION 7 A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1. A random sample of 12 components was taken; 6 were tested at 80° F (X1), and 6 were tested at 120° F (X2). The results are given below. 837 , 770, S1 =40, S2 =30 *The resulting test statistic has t distribution with 9 degree of freedom* Compute the lower bound of the confidence interval that is relevant to...
QUESTION 2 A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1. A random sample of 15 components was taken; 9 were tested at 80° F (X1), and 6 were tested at 120° F (X2). The results are given below S1 =40, S2 =30 If the null hypothesis is true, what is the distribution of the test statistic? t distribution with 9 degree of freedom t distribution with 11 degree of...
A company that manufactures electronic components wants to evaluate the following hypothesis test, using a level of significance of 0.1. A random sample of 15 components was taken; 9 were tested at 80° F (X1), and 6 were tested at 120° F (X2). The results are given below. 832 , 779, S1 =45, S2 =36 Compute the test statistic.
QUESTION 1 A company that manufactures electronic components wants to test, using a level of significance of 0.1, whether decreasing the environmental temperature decreases the time to failure of one of the components they manufacture. A random sample of 15 components was taken; 9 were tested at 80° F (X1), and 6 were tested at 120° F (X2). The results are given below. State the null and alternative hypotheses.
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Conduct the following 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 that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30, n1=254, x2=36, and n2=302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=0 versus H1: p1=0 B. H0: p1=p2 versus H1: p1<p2 C. H0: p1=p2 versus H1: p1>p2...
the accompanying sample information conduct the appropriate hypothesis test using the p-value i The sample information -X Sample 1 Sample 2 proport less than the proportion of pe n = 120 X1 = 40 n2 = 124 x2 = 55 Print Done Given the null and alternative hypotheses below, a level of significance a=0.1, together with the accompanying sample in hypothesis Ho: P2P2 HAPA <P2 Click on the icon to view the sample information Determine the value of the test...