Question

In: Math

A group of students estimated the length of one minute without reference to a watch or...

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are lis

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute?

 72 79 42 66 41 23 63 65 67 48 65 72 96 88 68 

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? 

Solutions

Expert Solution

Solution:

xx2
725184
796241
421764
664356
411681
23529
633969
654225
674489
482304
654225
725184
969216
887744
684624
∑x=955∑x2=65735


Mean ˉx=∑xn

=72+79+42+66+41+23+63+65+67+48+65+72+96+88+68/15

=955/15

=63.6667

Sample Standard deviation S=√∑x2-(∑x)2nn-1

=√65735-(955)215/14

=√65735-60801.6667/14

=√4933.3333/14

=√352.381

=18.7718

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :  μ  = 60

Ha :  μ  ≠ 60

Test statistic = t

= (x̅- μ ) / S / √ n

= (63.67-67) / 18.77 / √ 15

= 0.757

Test statistic = t =  0.757

P-value =0.4614

α = 0.01

P-value > α

0.4614 > 0.01

Fail to reject the null hypothesis .

There is not sufficient evidence to conclude that the original claim that the mean of the population of the estimate is 60 seconds equal to it that of a group the students who are reasonably good at estimating one minute.



Related Solutions

A group of students estimated the length of one minute without reference to a watch or...
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 71 79 39 63 41 27 59 66 68 46 66 72 91 87 63 What are the null and alternative hypotheses? 
A group of students estimated the length of one minute without reference to a watch or​...
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 70 81 42 63 40 27 57 66 63 50 62 73 95 92 62
A group of students estimated the length of one minute without reference to a watch or...
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 
66 83 37 68 45 25 63 64 64 47 65 72 93 88 65 What are the null and alternative...
A group of students estimated the length of one minute without reference to a watch or...
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a .05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 6868 8484 4242 6363 4141 2222 6161 6666 6363 4949 6565 7373 9696 9191 64 Question: State the final conclustion that...
A group of students estimated the length of one minute without reference to a watch or​...
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 80, 90, 49, 75, 52, 33, 70, 71, 72, 58, 75, 82, 100, 98, 77
A group of students estimated the length of one minute without reference to a watch or​...
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 71 82 40 66 42 22 57 61 64 50 61 71 92 87 65 Assuming all conditions for conducting a...
A group of students estimated the length of one minute without reference to a watch or​...
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 72 83 41 64 39 22 60 64 67 51 67 71 92 91 62 Assuming all conditions for conducting a...
A group of students estimated the length of one minute without reference to a watch or​...
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 80 88 48 77 52 36 69 71 72 58 71 78 100 99 73 What are the null and alternative​...
a group of students estimated the length of one minute without reference to a watch or...
a group of students estimated the length of one minute without reference to a watch or clock, and the time second are list belpw. use a 0.01 significance level to tesr the claim that these times are from a population with a meab equal to 60 second. does it appear that the students are reasonably good at estimating one minute? 77 90 47 72 54 31 71 75 78 56 75 76 102 99 73 determine the test statistic ?...
A group of students estimated the length of one minute without reference to a watch or​...
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute? 72 81 36 63 45 27 60 66 68 49 62 73 92 89 65 Determine the test statistic. __ (Round...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT