1. Verbal ability consists of at least two components: verbal comprehension (e.g., reading ability) and verbal fluency (e.g., writing ability). A researcher measures these two components in a sample of 8 seventh-grade children and obtains the following scores: Comprehension 7 74 42 48 7562 76 69 57 Fluency. 40 46 38 36 54 42 50 25 a) Is there a significant correlation between the two variables (a ≤.05)? b) If another seventh-grader obtained a verbal comprehension score of 70, what would his or her predicted verbal fluency score be?

Answers: 1. a) χ2 = 4.112, do not reject H0: gender and age of contracting the disease are independent; b) χ2 = 14.03, reject H0: the data do not support the researcher's beliefs; c) χ2 = 2.068, do not reject H0: it appears that this belief is not supported (there is no evidence to suggest that the belief is correct).

1:10 O b A O "Q. * a E (19 For numbers 1 to 3: The thermal condition in a cave is critical for sustaining a bat population. A sudden change in the temperature is related to deaths of bats in hundreds. An attempt to measure the degree of association between the temperature (in °C) and death toll (number of deaths) was done using 20 caves with reported cases of massive death among bats. Assume that temperature and death toll are bivariate normal. Given below is the R software output: > cor.test(temp , death) Pearson's product-moment correlation data: temp and death t - -1.4403, df - 148, p-value - 0.1519 alternative hypothesis: true correlation is not equal to e 95 percent confidence interval: -0.27269325 0.04351158 sample estimates: cor -0.1175698

Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) Score A 180 76 В 150 69 C 95 63 70 54 E 70 38 F 35 24 (a) The estimated regression equation for this data is ŷ 21.258 + 0.327x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. Ho: B1 + 0 Ha: B1 Ho: B1 Ha: B1 + 0 = 0 O Ho: Po = 0 Ha: Bo + 0 O Ho: B1 2 0 Ha: B1 < 0 O Ho: Po + 0 Hai B = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value