Given are five observations for two variables, x and y. x i 1 2 3 4 5 y i 4 8 6 12 14 Round your answers to two decimal places.   Estimate the standard deviation of ŷ* when x = 3.     b.  Using the following expression: Develop a 95% confidence interval for the expected value of y when x = 3.

A mean function E(Y IX = x) tells us: the probability of observing the value Y. O whether or not to reject the null hypothesis. how much data we need to collect. how the expected value of Y changes as X varies.

Ms. Gonzalez has recorded the test scores for each of her 25 students, She has calculated EX? = 320 and (EX) = 5,000, Calculate the estimated population standard deviation for her data. 1.98 2.24 O 5.00 O 3.95

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1522 and the standard deviation was 311. The test scores of four students selected at random are 1950, 1260, 2190, and 1410. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1950 is. (Round to two decimal places as needed.)

Suppose baby kittens' weights are normally distributed with a mean of 11.4 and a standard deviation of 2.1. The Z-score tells you how many units above the average (if Z-score is positive) or below the average (if Z- Score is negative) any particular baby kitten's weight is. Find the baby kitten weight that corresponds to the following Z-scores. Use the formula Z where u is the mean, o is the standard deviation, and X is the baby kitten weight. a. Z = = 0.07, X = b. Z = 1.63, X =

You want to buy a washing​ machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing machines is ​$209. Assume the population standard deviation is ​$20. The mean repair cost of 27 Model B washing machines is ​$215. Assume the population standard deviation is ​$24. At α=0.01, can you reject the​ salesperson's claim? Assume the samples are random and​ independent, and the populations are normally distributed. Complete parts​ (a) through​ (e). ​(a) Identify the claim and state H0 and Ha.   What is the​ claim?     A. The mean repair costs for Model A and Model B are equal.   B. The mean repair cost for Model A is greater than Model B.   C. The mean repair costs for Model A and Model B are different.   D. The mean repair cost for Model A is less than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B.…

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1506 and the standard deviation was 317. The test scores of four students selected at random are 1940, 1230, 2190, and 1400. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.)

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P70, the 70-percentile. This is the temperature reading separating the bottom 70% from the top 30%.P70 = °C(Round answer to three decimal places)