Questions: Calculate the standard score of the given X value, X=49.3, where μ=48 and σ=43.8 and indicate on the curve where z will be located. Round the standard score to two decimal places.

Calculate the standard score of the given X value, X=49.3, where μ=48 and σ=43.8 and indicate on the curve where z will be located. Round the standard score to two decimal places.
Transcript text: Calculate the standard score of the given $X$ value, $X=49.3$, where $\mu=48$ and $\sigma=43.8$ and indicate on the curve where $z$ will be located. Round the standard score to two decimal places.
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the given values

The problem provides the following values:

  • \( X = 49.3 \)
  • \( \mu = 48 \)
  • \( \sigma = 43.8 \)
Step 2: Use the standard score formula

The standard score (z-score) formula is: \[ z = \frac{X - \mu}{\sigma} \]

Step 3: Substitute the given values into the formula

Substitute \( X = 49.3 \), \( \mu = 48 \), and \( \sigma = 43.8 \) into the formula: \[ z = \frac{49.3 - 48}{43.8} \]

Step 4: Calculate the z-score

Perform the calculation: \[ z = \frac{1.3}{43.8} \approx 0.03 \]

Final Answer

The standard score (z-score) is approximately \( 0.03 \).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Find all real square roots of 4 .
failedAnswered
Evaluate ∫ sec(x) · [2 sec(x) + 12 tan(x)] dx. Let C represent the constant of integration. ∫ sec(x) · [2 sec(x) + 12 tan(x)] dx = □ + C
failedAnswered
In self-determination theory, the three basic needs are - conscientiousness, competence, and autonomy - openness, relatedness, and engagement/level of involvement in activities - motivation, flow, and social responsibility - competence, relatedness, and autonomy Lykken and Tellegan proposed the measure of , the idea that most people have an average level of happiness. - eudaimonia - an evolutionary average - a set point - an hereditability index Which of the following is TRUE? - Wealthier people contribute a larger percentage of their income to charity than do others. - Spending money on experiences, such as a family vacation, is more likely to correlate with happiness than spending money on material goods such as a new car. - Young people gain more well-being from ordinary experiences than extraordinary ones. - Gazing at relatively small amounts of money while engaged in unrelated tasks resulted in people enjoying these tasks more.
failedAnswered
Question 1, 11.2.5 Part 2 of 4 Points: 0 of 1 Save annual meeting of the American Society of Tropical Medicine, by principal investigator Steve Lindsay). The accompanying information shows the hypotheses and TI-83/84 Plus calculator results for the experiment. Assume that the hypothesis test requirements are all satisfied. Complete parts (a) through (c) below. Malaria Was Present Malaria Was Not Present Dog Was Correct 123 131 Dog Was Wrong 52 14 a. Identify the test statistic and the P-value, and then state the conclusion about the null hypothesis. The test statistic is 19.49 . (Round to two decimal places as needed.) Identify the P-value. The P-value is (Round to three decimal places as needed.) Just output the content of the question, DO NOT output additional information or explanations.
failedAnswered
Indicate whether each scenario involves a shift in the supply curve or movement along the supply curve. a. Americans sell their gold and silver jewelry as a result of rising prices. b. A national consumer products company produces less of its premium quality soap as a result of lower soap prices. c. Amplitude decides to join the smartphone market. d. After discovering that flash-steaming tuna before using mechanical processes to extract meat removes more tuna flesh, more cans of tuna arrive on the shelves at all major grocers.