Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 ug/g. ASsume that the sample is a simple random sample. 5 22.5 13.5 9 13 11 9.5 25 19.5 D Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: H= 15 ug/g Ο Β. Ho με 15 μgg H,: µ# 15 ug/g O D. Ho H> 15 µg/g H: H< 15 ug/g OC. Ho: = 15 µg/g H,: u> 15 ug/g Η με 15 μοο

Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 ppb. Twelve samples of water from a particular source have the following concentrations, in ppb. 11.4 13.9 11.2 14.5 15.2 8.1 12.4 8.6 10.5 17.1 9.8 15.9 A hypothesis test will be performed to determine whether the water from this source meets the EPA standard. a) State the appropriate null and alternate hypotheses. b) Compute the P-value. c) Can you conclude that the water from this source meets the EPA standard? Explain.

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 µg/g. Assume that the sample is a simple random sample. 19 7.5 3 14 8 15 6 22.5 22.5 21.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Ο Α. Η0: μ= 18 μαg Ο Β. Η μ= 18 μgg H1: µ> 18 µg/g H: µ# 18 µg/g OC. Ho: H= 18 µg/g Ο D. Ho: μ> 18 μgg H,: µ< 18 µg/g H,: µ< 18 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the mean lead concentration for all such medicines is 18 μgg. Reject Fail to reject

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 ug/g. Assume that the sample is a simple random sample. 20.5 12.5 12.5 4.5 4.5 19 18 18.5 16 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho p> 16 pg/g H p 16 ug/g %3D O C. Ho p= 16 pg/g H p#16 pg/g D. Ho =16 pg/g H1:p<16 ug/g Determine the test statistic. - 1.42 (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)

Suppose you want to test the claim that u, > H,. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that o #o5. At a level of significance of a = 0.01, when should you reject Ho? n, = 18, n2 =13, x, = 470, x2 = 455, s, = 40, s2 = 25 %3D O A. Reject H, if the standardized test statistic is greater than 2.681. B. Reject Ho if the standardized test statistic is greater than 1.699. O C. Reject H, if the standardized test statistic is greater than 3.055. D. Reject H, if the standardized test statistic is greater than 2.179.

A high school conducts a dependent sample experiment to test if there is a difference between the number of times students are absent in the fall and winter months. You have data for the following 5 students: STUDENT FALL WINTER 1 2 3 4 5 2 0 1 2 O What do you conclude about this school's absences? (Assume standard a = 0.05) 2 1 2 4 T O There is no difference between the Fall and Winter months. O There is a statistically significant difference between the Fall and Winter months. There is a difference but it is only somewhat statistically significant. There is not enough data to determine if there is a difference in absences.

4. Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 ug/g. Assume that the sample is a simple random sample. 21 14 20.5 4. 11.5 18.5 13.5 13 7 9.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? CA. H μ= 18 μglg H,p18 ug/g O C. Ho: H>18 ug/g H,: u<18 ug/g Ο D. H9 μ= 18 μgg H,: p#18 ug/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. (1) Ho. There is (2) evidence to conclude that the mean lead concentration for all such medicines is (3) 18 ug/g. (1) O Reject O Fail to reject O sufficient O not sufficient (2) (3) O not O greater than O less than O equal to a le

Suppose the nutrition information on the package of Matilde's favorite brand of chips states that a serving size of 25 g equals about 12 chips. That means, on average, each chip should weigh 2.08 g. Matilde decides to test the accuracy of this serving size information. She plans to conduct a one-sample t-test with a significance level of a = 0.10 to test the null hypothesis, Ho: u = 2.08, against the alternative hypothesis, H1: µ # 2.08, where u is the average weight of a chip. Matilde selects a random sample of unbroken chips to weigh. She does not know the population standard deviation nor the distribution of chip weights, but she has confirmed that her sample does not contain any outliers. The summary statistics for her test are shown in the following table. Sample size Sample mean Sample standard deviation Test statistic Probability value P-value 45 2.04 0.14 -2.076 0.044 Based on these results, complete the following sentences to state the decision and conclusion of the test.…

Use a y-test to test the claim o = 0.48 at the a = 0.01 significance level using sample statistics s = 0.466 and n = 15. Assume the population is normally distributed. Identify the null and alternative hypotheses. YA. Ho: o? = 0.48 O B. Ho: o 20.48 H:o +0.48 H,: o 0.48 Identify the test statistic. (Round to two decimal places as needed.)

For your study on the food consumption of teenage males, you randomlyselected 20 males and asked each how many 12-ounce servings of soda he drinks eachday. The results are listed below. At alpha = 0.1, is there enough evidence to support theclaim that teenage males drink fewer than five 12-ounce servings of soda per day? Noneed to check the criteria –just do the hypothesis test.3.3 4.1 3.5 2.7 3.4 3.3 4.8 3.4 5.2 3.22.5 3.8 5.0 1.9 3.9 5.3 2.9 1.8 4.2 2.2