Two different concrete mixtures are being tested for their bond strengths. We would like to design a hypothesis test to see if concrete mixture 2 is stronger than mixture 1. The population variances of bond strengths are σ1² = 11 and 02² = 15. If the true mean difference is 1, calculate the power of the test in detecting this difference, given n₁ =100, n=50. (assume a=0.05)
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- Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 142 pairs of measurements yield x=32.14cm, y=163.36cm, r=.084, P value=.32 and y=160+.111x. Find the best predicted value of y (height) given an adult female with an arm circumference of 40cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a .05 significance level.first model = 0.48y6.1 4 %3D 0.41 t - where variance is 0.85 and SSR = 680. Second model: y.=0.4 Ye-1+ 0.36 4e.+ Et 1.2 and SSR = 960. where variance is 1) Calculate AiC AIC and BIC Which is better ?Let Y₁, Y2, ..., Yn be a random sample from a population with a Gamma distribution with parameters a = 3 and unknown. Find the Minimum Variance Unbiased Estimator for B. Show your work, and explain how you know your estimator is the MVUE.
- Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 139 pairs of measurements yield x = 31.99 cm, y = 163.33 cm, r= 0.032, P-value = 0.708, and y = 158 + 0.1703x. Find the best predicted value of y (height) given an adult female with an arm circumference of 35.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. %3D ..... The best predicted value is cm. (Round to two decimal places as needed.)Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 168.18 cm, y=81.57 kg, r=0.409, P-value = 0.000, and y= -107 +1.07x. Find the best predicted value of y (weight) given an adult male who is 152 cm tall. Use a 0.01 significance level. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y for an adult male who is 152 cm tall is (Round to two decimal places as needed.) kg. Critical Values of the Pearson Correlation Coefficient r n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 n Critical Values of the Pearson Correlation Coefficient r α=0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207…Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 137 to 188 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.60 cm, y = 81.35 kg, r=0.416, P-value = 0.000, and y = - 107 + 1.02x. Find the best predicted value of (weight) given an adult male who is 167 cm tall. Use a 0.10 significance level. .... The best predicted value of y for an adult male who is 167 cm tall is kg. (Round to two decimal places as needed.)
- Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 136 to 193 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.74 cm, y= 81.56 kg, r= 0.384, P-value = 0.000, and y = - 107+ 1.18x. Find the best predicted value of y (weight) given an adult male who is 153 cm tall. Use a 0.05 significance level. .... The best predicted value of y for an adult male who is 153 cm tall is (Round to two decimal places as needed.) kg. Activate Windows Help me solve this View an example Get more help - P Type here to search 0日 hp esc f4 IOI f5 f6 f8 144 f1o f12 insert prt sc del & 2. 3 4 8 backspace Y P /AsD EGH KIL J %24 %23Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 190 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.74 cm, y= 81.32 kg, r= 0.388, P-value = 0.000, and y = - 105+ 1.18x. Find the best predicted value of y (weight) given an adult male who is 176 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 176 cm tall is kg. (Round to two decimal places as needed.)Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 189 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.64 cm, y = 81.34 kg, r=0.234, P-value = 0.019, and y=-101 +1.13x. Find the best predicted value of ŷ (weight) given an adult male who is 143 cm tall. Use a 0.01 significance level. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y for an adult male who is 143 cm tall is (Round to two decimal places as needed.) kg.
- Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 137 to 193 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 168.23 cm, y = 81.56 kg, r=0.408, P-value = 0.000, and ŷ = -105 +1.04x. Find the best predicted value of ŷ (weight) given an adult male who is 161 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 161 cm tall is (Round to two decimal places as needed.) kg.Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.61 cm, y = 81.52 kg, r=0.271, P-value=0.006, and y = -103 +1.18x. Find the best predicted value of ŷ (weight) given an adult male who is 155 cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 155 cm tall is (Round to two decimal places as needed.) kg.Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 187 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.42 cm, y= 81.38 kg, r= 0.241, P-value = 0.016, and y = - 105+ 1.12x. Find the best predicted value of y (weight) given an adult male who is 161 cm tall. Use a 0.10 significance level. %3D The best predicted value of y for an adult male who is 161 cm tall is (Round to two decimal places as needed.) kg.