Question:

Assignment #3: Independent Samples T test

Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two tailed test) and a level of significance of .05)

The superintendent who collected data for Assignments 1 and 2, continued to examine the district's data. One question that concerned the superintendent's constituencies was the difference between the school performance scores of the superintendent's district and a neighboring district that had similar demographic and socio-economic characteristics. The superintendent collected the following information:

School performance scores for superintendent's district:

109 108 133 146 120 84 102 124 148 155 87 144 158 159 126 80 118 130 83 129

153 137 136 96 138 110 156 99 152 113 143 128 103 161 123 89 82 140 112 154

School performance scores for comparison district:

140 154 115 152 104 111 148 91 88 130 114 100 117 95 109 120 103 146 93

134 132 112 122 147 151 137 84 149 85 156 128 157 96 127

What are the mean and standard deviation for the superintendent's district?

What are the mean and standard deviation for the comparison district?

State an appropriate null hypothesis for this analysis.

What is the observed or computed value of t?

What is the value of the degrees of freedom that are reported in the output (equal variances assumed)?

What is the reported level of significance?

Based on the reported level of significance, would you reject the null hypothesis?

Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of the Independent Samples T test.

Suppose Xn is a two-state Markov chain whose transition probability matrix is P = 1-B B Then, Zn = (Xn-1, Xn) is a Markov chain having the four states (0,0), (0,1), (1,0), and (1,1). Determine the transition probability matrix.Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of hits to a website in a day b. The square footage of a house c. The gender of college students d. The time required to download a file from the Internet e. The number of bald eagles in a country f. The number of points scored during a basketball game a. Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the square footage of a house a discrete random variable, a continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable c. Is the gender of college students a discrete random variable, a continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. d. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? Click to select your answer. Save for LaterLet X a normal random variable with mean / and variance of . Consider Z = X - H Then Z isa O normal random variable standard normal random variable O geometric random variable O uniform continuous random variable O Bernoulli random variable O Binomial random variable O exponential random variable. Problem 3: Consider the Markov chain with S = {1, 2,3} and transition probability matrix 01 0 P = 0.5 0 0.5 01 0 1. Is this Markov chain irreducible? Explain. 2. Is this Markov chain aperiodic? Explain