how do i answer these
A scientist estimates that the mean nitrogen dioxide level in a city is greater than 29 :1: parts per billion. To test this estimate. you determine the nitrogen dioxide levels for 32 39 37 38 20 21 27 30 26 16 16 31 randomly selected days. The results (in parts per billion) are listed to the right. 30 33 36 16 44 41 20 31 34 29 35 Assume that the population standard deviation is 10. At 0'. = 0.09, can you support 27 18 30 19 19 18 39 22 39 the scientist's estimate? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and Ha. Choose from the following. 0 A. H0: p=29 O B. H0: p529 O C. H0: p229 (claim) Ha: p>29 (claim) Ha: u>29 (claim) Ha: \"29 Ha: \">29 (b) Find the critical value and identify the rejection region. 20 = D (Round to two decimal places as needed.) Rejection region: 2 El D (c) Find the standardized test statistic. z = D (Round to two decimal places as needed.) A scientist estimates that the mean nitrogen dioxide level in a city is greater than 29 L3. parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 32 39 37 38 20 21 27 30 26 16 16 31 randomly selected days. The results (in parts per billion) are listed to the right. 30 33 36 16 44 41 20 31 34 29 35 Assume that the population standard deviation is 10. At a = 0.09, can you support 27 18 30 19 19 18 39 22 39 the scientist's estimate? Complete parts (a) through (e). 10 = D (Round to two decimal places as needed.) Rejection region: 2 El D (c) Find the standardized test statistic. z = D (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. 0 Fail to reject Ho O Reject H0 (e) Interpret the decision in the context of the original claim. At the 9% signicance level, there |::l enough evidence to E the scientist's claim that the mean nitrogen dioxide level in the city is greater th r billion. is not Click to select your answer(s) an: _ 190k Answer. @ _ IS _ ...____4__._____,____ ; x.____.. _l u . A scientist estimates that the mean nitrogen dioxide level in a city is greater than 29 q parts per billion. To test this estimate. you determine the nitrogen dioxide levels for 32 39 37 38 20 21 27 30 26 16 16 31 randomly selected days. The results (in parts per billion) are listed to the right. 30 33 36 16 44 41 20 31 34 29 35 Assume that the population standard deviation is 10. At or = 0.09, can you support 27 18 30 19 19 18 39 22 39 the scientist's estimate? Complete parts (a) through (e). 20 = D (Round to two decimal places as needed.) Rejection region: 2 |::l D (c) Find the standardized test statistic. z = D (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. 0 Fail to reject HO O Reject H0 (e) Interpret the decision in the context of the original claim. At the 9% signicance level, there |:| enough evidence to |:| the scientist's claim that the mean nitrogen dioxide level in the city is greater than 29 parts per billion. support Click to select your answer(s) and then click Check Answer. @ - reject - Aweight loss program claims that program participants have a mean weight loss of at least 10 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 4. At or =0.06, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.6 5.9 6.5 6.7 7.1 7.7 7.9 8.3 8.3 8.4 L1}: 8.7 9.1 9.4 9.5 9.7 9.7 10.3 10.5 10.5 10.6 11 11.3 11.6 11.8 11.8 12.1 12.7 12.8 13.8 15 (a) Identify H0 and Ha. Choose the correct answer below. 0 A. H0:p#10 O B. H02p>10 Ha:p.=10 Ha:ps10 O C. H0:p.210 O D. Hozp10 Ha:p.#10 (b) Find the critical value(s). Select the correct choice below and ll in the answer box within your choice. (Round to two decimal places as needed.) 0 A- The critical value is D. Aweight loss program claims that program participants have a mean weight loss of at least 10 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 4. At (1 =0.06, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.6 5.9 6.5 6.7 7.1 7.7 7.9 8.3 8.3 8.4 D. 8.7 9.1 9.4 9.5 9.7 9.7 10.3 10.5 10.5 10.6 11 11.3 11.6 11.8 11.8 12.1 12.7 12.8 13.8 15 Identify the rejection region(s). Choose the correct answer below. 0A 0e 0c Fail to reject H0. Q Fail to reject H0. Q Fail to reject H0. Q Reject HO. Reject HO. Reject H0. l3 4 o 4 4 o 4 (c) Find the standardized test statistic. z = D (Round to two decimal places as needed.) Aweight loss program claims that program participants have a mean weight loss of at least 10 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 4. At (1 =0.06, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.6 5.9 6.5 6.7 7.1 7.7 7.9 8.3 8.3 8.7 9.1 9.4 9.5 9.7 9.7 10.3 10.5 10.5 11 11.3 11.6 11.8 11.8 12.1 12.7 12.8 13.8 2 = D (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. 0 A. Since 2 is in the rejection region, reject the null hypothesis. 0 B. Since 2 is in the rejection region, fail to reject the null hypothesis. 0 0. Since 2 is not in the rejection region, reject the null hypothesis. 0 D. Since 2 is not in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 6% signicance level, there have a mean weight loss is not Click to select your answer(s) an: is ieck Answer. 8.4 :11 10.6 15 enough evidence to |:l the program's claim that program participants ' D pounds after1 month. Aweight loss program claims that program participants have a mean weight loss of at least 10 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 4. At a =0.06, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.6 5.9 6.5 6.7 7.1 7.7 7.9 8.3 8.3 8.4 L1 8.7 9.1 9.4 9.5 9.7 9.7 10.3 10.5 10.5 10.6 11 11.3 11.6 11.8 11.8 12.1 12.7 12.8 13.8 15 z = D (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. 0 A. Since 2 is in the rejection region, reject the null hypothesis. 0 B. Since 2 is in the rejection region. fail to reject the null hypothesis. 0 0. Since 2 is not in the rejection region, reject the null hypothesis. 0 D. Since 2 is not in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 6% signicance level, there enough evidence to El the program's claim that program participants |:| pounds Click to select your answer(s) and then click Check Answer. reject have a mean weight loss support Aweight loss program claims that program participants have a mean weight loss of at least 10 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds} after 1 month is listed in the table below. Assume the population standard deviation is 4. At or = 0.06, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.6 5.9 6.5 6.7 7.1 7.7 7.9 8.3 8.3 8.4 D 8.7 9.1 9.4 9.5 9.7 9.7 10.3 10.5 10.5 10.6 11 11.3 11.6 11.8 11.8 12.1 12.7 12.8 13.8 15 z = D (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. 0 A. Since 2 is in the re othesis. O B. Since 2 is in the re greater than or equal to Ill hypothesis. 0 C. Since 2 is not in th less than hypothesis. 0 D. Since 2 is not in th greater than e null hypothesis. (e) Interpret the decision iI equal to less than or equal to At the 6% signicance levl etol:l the program '5 claim that program participants have a mean weight loss I: D pounds after 1 month. The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d). Click here to view p_age 1 of the table of critical values of t. Click here to view p_age 2 of the table of critical values oft. 4.17 5.13 5.83 6.49 7.24 7.55 8.38 8.38 10.01 D: a. At the 0.05 level of signicance, is there evidence that the mean amount spent for lunch is different from $6.50? State the null and alternative hypotheses. H1 : IJ. (Type 5 decimals. Do not include the $ symbol in your answer.) :- 2 The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d). Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. 4.17 5.13 5.83 6.49 7.24 7.55 8.38 8.38 10.01 a. At the 0.05 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? State the null and alternative hypotheses. Ho: H H1 : H (Type decimals. Do not include the $ symbol in your answer.) S IV V II HA company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 56.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.7 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H = 55 O B. Ho: H 2 55 Ha: H # 55 Ha: H
