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: H <0; a=0.05. Sample statistics: d= 1.5, s = 3.3, n= 17 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho Ha =0 Ha Ha #0 OC. Ho Ha>0 Ha Hg S0 OB. Ho Ha #0 H =0 O D. Ho Ha s0 H Hg>0 OE. Ho Ha<0 H Ha20 F. Hg: Hg20 H H <0 The test statistic is t= (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer parts remaining Clear All She les7e ppt_08_03.pptx Open file 2:28 2/21/2 2.

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

Define a random process ✗(t) as follows: (1) X(t) assumes only one of two possible levels 1 or -1 at any time, (2) X(t) switches back and forth between its two levels randomly with time, (3) the number of level transitions in any time interval t is a Poisson random variable, that is, the probability of exactly k transitions, when the average rate of transitions is λ, is given by [(t)/k!] exp (−t), (4) transitions occurring in any time interval are sta- tistically independent of transitions in any other interval, and (5) the levels at the start of any interval are equally probable. X(t) is usually called the random telegraph process. It is an example of a discrete random process. (a) Find the autocorrelation function of the process.

Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each exercise, we have given the distribution shape of the variable under consideration. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. Explain your answers. Symmetric bimodal

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…

Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). 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 weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: Hd #0 H₁: Hd>0 O C. Ho: Hd #0 H₁: Hd=0 Identify the test statistic. t= (Round to two decimal places as needed.) B. Ho: Hd=0 H₁: Hd #0 O D. Ho: Hd = 0 H₁: Hd <0 More Info Household Paper 16.39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 POTBRANN~~~~~~~ 7.57 11.42 6.44 20.12 2.41 6.05 2.80 13.61 13.05 17.65 8.72 6.16 7.72 7.98 6.38 6.67 6.98 29 11.08 5.86…

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.