Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed Claim: HA <0; a = 0.01. Sample statistics: d=1.4, s, = 3.4, n = 12 Identify the null and alternative hypotheses. Choose the correct answer below. B. Ho: Ha20 O A. Ho: Ha =0 Ha: Ho #0 OC. Ho: Ha #0 Ha: Ho =0 O D. Ho: Ha s0 Hạ: Ha>0 O E. Ho: Ha <0 OF. Ho: Ha>0 Hai Ho sO The test statistic is t= (Round to two decimal places as needed.)

A. Determine the test statistic B. Determine the P-value C.reject or fail to reject H0

Consider the data below. Three random samples in different cities were selected. Water use per household per day were measured. Test the claim that the samples come from populations with the same mean. Assume all requirements have been met. Use a 5% level of significance. 1. Identify the tail of the test. [ Select ] 2. Find the P-value. [ Select ] 3. Will the null hypothesis be rejected? [ Select ] 4. Do the populations appear to have the same mean? [ Select ] Sample Data City 1 City 2 City 3 70 66 66 70 64 66 55 45 54 60 41 61 65 58 65 45 44 65 55 46

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p, and p, at the given level of significance a using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: P1 = P2, a = 0.10 Sample statistics: X1 = 108, n, = 128 and x, = 32, n, = 195 ... Ha: P1 7 P2 O E. Anormal sampling distribution cannot be used, so the claim cannot be tested. Find the critical values. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The critical values are - z, = 1.28 and zo =1.28 (Round to two decimal places as needed.) B. A normal sampling distribution cannot be used, so the claim cannot be tested. Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Round to two decimal places as needed.) Z= B. A normal sampling distribution…

A researcher is interested in whether there is a difference between male and female college students in the amount of time spent doing volunteer work for the last 6 months. The researcher gathers a random sample of college students. The amount of time volunteering is measured in hours, which is an interval level-ratio and is normally distributed. Which statistical test should be used to analyze this data? a. Multiple regression b. paired samples t-test c. independent groups t-test d. Factorial ANOVA

The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). = 0 kg Ho: Ha H₁: Hd > 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t = 2.82 (Round to two decimal places as needed.) Identify the P-value. a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September…

According to data released by the Organization for Economic Cooperation and Development (OECD) in 2018, the French spend more time eating their meals than anybody else. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The given data represents the time, in minutes, that random French and American diners spent at lunch. Assume that the population variances are equal. American 21 French 24 17 18 O A. tx=2.34 O B. t=1.41 O C. t = 1.63 O D. t = -2.20 X 17 20 20 28 25 16 18 29 17 20 16 If Population 1 is defined as French diners and Population 2 is defined as American diners, then what is the test statistic for this hypothesis test? Round to two decimal places as needed. Clear all Check answer

Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother 64.0 66.0 63.0 62.0 66.5 66.0 65.0 60.0 67.0 63.0 Daughter 67.0 66.5 70.5 66.0 61.0 66.0 65.5 65.0 67.0 65.0 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha = 0 in. H₁ Hd 0 in. (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)

Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1170; a = 0.07; o = 212.01. Sample statistics: x= 1185.03, n= 300 Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. Ho μ2 1185.03 Ο Β. Ho : με 1185.03 Ha: µ 1185.03 O C. H μ2 1170 O D. Ho: µ> 1170 Ha: H 1185.03 Ha: µ> 1170 Ha: us1185.03 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P = (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 7% significance level, there enough evidence to the claim.

Which of the following is NOT a requirement of testing a claim about the mean of the differences from dependent samples? Choose the correct answer below. O A. The degrees of freedom aren- 2. O B. The samples are simple random samples. O C. The sample data are dependent. O D. Either the number of pairs of sample data is larger than 30 or the pairs have differences that are from a population having a distribution that is approximately normal, or both.