The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.   Pottery Type   Site Type Mesa Verde Black-on-White McElmo Black-on-White Mancos Black-on-White Row Total Mesa Top 75 59 55 189 Cliff-Talus 79 65 69 213 Canyon Bench 87 66 73 226 Column Total 241 190 197 628   Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: Site type and pottery are not independent. H1: Site type and pottery are not independent.H0: Site type and pottery are independent. H1: Site type and pottery are independent.    H0: Site type and pottery are not independent. H1: Site type and pottery are independent.H0: Site type and pottery are independent. H1: Site type and pottery are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? YesNo     What sampling distribution will you use? binomialnormal    chi-squareStudent's tuniform What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) p-value > 0.1000.050 < p-value < 0.100    0.025 < p-value < 0.0500.010 < p-value < 0.0250.005 < p-value < 0.010p-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > ?, we fail to reject the null hypothesis.Since the P-value > ?, we reject the null hypothesis.    Since the P-value ≤ ?, we reject the null hypothesis.Since the P-value ≤ ?, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, there is sufficient evidence to conclude that site and pottery type are not independent.At the 1% level of significance, there is insufficient evidence to conclude that site and pottery type are not independent.

Find the mean and median for each of the two samples, then compare the two sets of results. )A comparison is made between summer electric bills of those who have central air and those who have window units. May June July Aug Sept $65 Central $32 $59 $80 $90 Window $15 $86 $99 $120 $40 a) Central Mean b) Central Median c) Window Mean d) Window Median e) In your own words, compare the 2 electric bills of those who have central air to those who have window units. f) Explain how you found the Window Mean. g) Explain how you found the Window Median.

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Listed below are times (in minutes and seconds) that a statistics instructor recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.10 significance lev the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 Mile 2 Mile 3 3:18 3:25 3:31 3:14 3:30 3:31 3:15 3:25 3:35 3:20 3:26 3:28 3:16 3:24 3:27 First determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. D O B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. O D. Ho: The samples come from populations with equal means. Compute the test statistic. The test statistic is. (Round to three decimal places as needed.) OC. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from…

To determine if there is a relationship between grade performance and extracurricular participation, North Carolina State conducted a study of 112 students, recording the number of students in each of three extracurricular categories and each of two grade categories. Here are the results: Low extra-curricular participation Moderate extra-curricular participation High extra-curricular participation Good grades 11 68 3 Poor grades 2 23 A. The conditions that allow us to safely use the chi-squared procedure are met. 5 Source: Felder, et al., "A Study of Student Performance in an Introductory Chemical Engineering Course," 1992 ASEE Annual Conference Proceedings, pp. 1516-1519. The expected count of students with high extracurricular participation and good grades is the number of students that you would expect to see assuming that which of the following is correct? Check all that apply. B. Extracurricular participation and grade performance are related. C. Extracurricular participation and…