K Use the given information to find the number of degrees of freedom, the critical values x2 and x2, and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in menthol cigarettes 98% confidence; n = 21, s= 0.22 mg. Click the icon to view the table of Chi-Square critical values. df= (Type a whole number.) ***

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SHOW ALL WORK. Interpret confidence intervals and explain the conclusions from hypothesis tests. For all hypothesis tests, clearly state the null and alternative hypotheses, the significance level, the test statistic, the p-­‐value, and your conclusion. If you are using a t-statistic, clearly note how many degrees of freedom you have. 1. Consider the following data collected regarding infant blood pressure, age, and birth weight: i Birth weight in oz. (x1) Age in days (x2) Systolic Blood Pressure mmHg (y) 1 135 3 89 2 120 4 90 3 100 3 83 4 105 2 77 5 130 4 92 6 125 5 98 7 125 2 82 8 105 3 85 9 120 5 96 10 90 4 95 11 120 2 80 12 95 3 79 13 120 3 86 14 150 4 97 15 160 3 92 16 125 3 88  A. Interpret the corresponding 95% confidence intervals for both Birth weight and Age.  B. What is the predicted average SBP of an infant born with birth weight 8lbs (128oz) measured at 3 days old? C. Calculate the Pearson correlation between Age and Birth weight, and test if this correlation is…

A taxi cab company takes a random sample of 50 of its taxis and notes their miles per gallon (mpg) on a test run. The computer output is shown below. Mean St Dev Min Q1 Q2 Q3 Max 19.78 3.09 13.30 17.80 20.00 21.83 26.00 50% of the taxis have MPG lower than what value? Group of answer choices A. 20 MPG B. (21.83 - 17.80) MPG C. 19.78 MPG D. (26-13.30)/2 MPG