Foot-Length: It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.01 significance level. You may assume the sample of differences comes from a normally distributed population.
Person | Left Foot (x) | Right Foot (y) | difference (d = x − y) |
1 | 272 | 272 | 0 |
2 | 269 | 267 | 2 |
3 | 259 | 261 | -2 |
4 | 255 | 254 | 1 |
5 | 261 | 258 | 3 |
6 | 273 | 273 | 0 |
7 | 274 | 270 | 4 |
8 | 258 | 256 | 2 |
9 | 273 | 272 | 1 |
10 | 255 | 253 | 2 |
Mean | 264.90 | 263.60 | 1.30 |
s | 7.99 | 8.04 | 1.70 |
If you are using software, you should be able copy and paste the
data directly into your software program.
(a) The claim is that the mean difference is positive (μd > 0). What type of test is this?
This is a right-tailed test.
This is a left-tailed test.
This is a two-tailed test.
(b) What is the test statistic? Round your answer to 2
decimal places.
td=
To account for hand calculations -vs- software, your answer
must be within 0.01 of the true answer.
(c) Use software to get the P-value of the test statistic.
Round to 4 decimal places.
P-value =
(d) What is the conclusion regarding the null hypothesis?
reject H0
fail to reject H0
(e) Choose the appropriate concluding statement.
The data supports the claim that, on average, right-handed people have a left foot that is larger than the right foot.
There is not enough data to support the claim that, on average, right-handed people have a left foot that is larger than the right foot.
We reject the claim that, on average, right-handed people have a left foot that is larger than the right foot.
We have proven that, on average, right-handed people have a left foot that is larger than the right foot.
from above:
a)This is a right-tailed test.
b) test statistic=2.41
c) P-value =0.0195 ( please try 0.0196 if tis comes wrong)
d) fail to reject H0
e)here is not enough data to support the claim that, on average, right-handed people have a left foot that is larger than the right foot.
Foot-Length: It has been claimed that, on average, right-handed people have a left foot that is...
It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population. Person Left Foot (x) Right Foot (y) 1 272 272 2 269 267 3...
Foot-Length (Raw Data, Software Required): It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.01 significance level. You may assume the sample of differences comes from a normally distributed population. Person Left Foot (x) Right Foot (y) 1 269...
It is widely accepted that people are a little taller in the morning than at night. Here we perform a test on how big the difference is. In a sample of 32 adults, the mean difference between morning height and evening height was 5.5 millimeters (mm) with a standard deviation of 1.8 mm. Test the claim that, on average, people are more than 5 mm taller in the morning than at night. Test this claim at the 0.01 significance level....
Sibling IQ Scores: There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that, on average, older siblings have a higher IQ than their younger sibling. The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.01 significance level. You may assume the sample of differences comes from a normally distributed population....
Test the claim that the proportion of people who own cats is larger than 20% at the 0.005 significance level. The null and alternative hypothesis would be: H0:μ≤0.2H0:μ≤0.2 Ha:μ>0.2Ha:μ>0.2 H0:μ≥0.2H0:μ≥0.2 Ha:μ<0.2Ha:μ<0.2 H0:p≤0.2H0:p≤0.2 Ha:p>0.2Ha:p>0.2 H0:p≥0.2H0:p≥0.2 Ha:p<0.2Ha:p<0.2 H0:p=0.2H0:p=0.2 Ha:p≠0.2Ha:p≠0.2 H0:μ=0.2H0:μ=0.2 Ha:μ≠0.2Ha:μ≠0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 26% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis Test the claim that the proportion...
Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that, on average, older siblings have a higher IQ than their younger sibling. The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.05 significance level. You may assume the sample of differences comes from...
Sibling IQ Scores: There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that, on average, older siblings have a higher IQ than their younger sibling. The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population....
The makers of a child's swing set claim that the average assembly time is less than 2 hours. A sample of 35 assembly times (in hours) for this swing set is given in the table below. Test their claim at the 0.10 significance level. (a) What type of test is this? This is a two-tailed test. This is a right-tailed test. This is a left-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. tx...
In a sample of 40 adults, the mean assembly time for a child's swing set was 1.75 hours with a standard deviation of 0.80 hours. The makers of the swing set claim the average assembly time is less than 2 hours. Test their claim at the 0.10 significance level. (a) What type of test is this? This is a left-tailed test. This is a right-tailed test. This is a two-tailed test. (b) What is the test statistic? Round your answer...
AM -vs- PM Height (Raw Data, Software Required): We want to test the claim that people are taller in the morning than in the evening. Morning height and evening height were measured for 30 randomly selected adults and the difference (morning height) − (evening height) for each adult was recorded in the table below. Use this data to test the claim that on average people are taller in the morning than in the evening. Test this claim at the 0.10...