Question

In: Statistics and Probability

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.7 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 26 samples is 5.0 ppm with a standard deviation of 0.9. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

Solutions

Expert Solution

Solution :

The null and alternative hypothesis is ,

H0 :   = 4.7

Ha : > 4.7

Test statistic (t) =

= ( - ) / s / n

= (5 - 4.7) / 0.9 / 26

Test statistic = 1.700

P-value = 0.0508

= 0.05

P-value >

Fail to reject the null hypothesis .

There is no sufficient evidence to support the claim.


Related Solutions

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.14.1 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 10401040 samples is 4.04.0 ppm. Assume a population standard deviation of 1.21.2. Does the data support the researcher's claim at the 0.020.02 level? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.5 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 13 samples is 6.0 ppm with a standard deviation of 0.9 Does the data support the claim at the 0.1level? Assume the population distribution is approximately normal. Step 1 of 3 : State the null and alternative hypotheses. Step...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.5 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 13 samples is 6.0 ppm with a standard deviation of 0.9 Does the data support the claim at the 0.1level? Assume the population distribution is approximately normal. Step 1 of 3 : State the null and alternative hypotheses. Step...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 6 samples is 5.9 ppm with a variance of 0.49. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.7 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 26 samples is 5.0 ppm with a standard deviation of 0.9. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 4 of 5: Determine the decision rule for rejecting the null...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 980 samples is 7.6 ppm. Assume a population standard deviation of 1.1. Does the data support the researcher's claim at the 0.02 level? a) State the null and alternative hypothesis. b) test statistic c) One tailed or two tailed? d)...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.5 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 1020 samples is 4.4 ppm. Assume a population standard deviation of 1.2. Does the data support the researcher's claim at the 0.05 level? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 1000 samples is 6.9 ppm. Assume a population standard deviation of 1.2. Does the data support the researcher's claim at the 0.02 level? Step 1 of 5 : State the null and alternative hypotheses. Step 2 of 5 :  Find...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 6.7 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 12 samples is 8.0 ppm with a standard deviation of 0.9. Does the data support the claim at the 0.1 level? Assume the population distribution is approximately normal. Step 4 of 5 :   Determine the decision rule for rejecting the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT