Purchase Solution

Find the expected number based on z score

Not what you're looking for?

Ask Custom Question

Suppose that people's heights (in centimeters) are normally distributed, with a mean of 165 and a standard deviation of 6. We find the heights of 40 people.

(a) How many would you expect to be between 157 and 173 cm tall?

(b) How many would you expect to be taller than 160 cm?

For a particular value, this table gives the percent of scores between the mean and the z-value of a normally distributed random variable. What percent of the total population is found between the mean and the z-score, assume z = 2.93.

Purchase this Solution
Solution Summary

The solution provides detailed explanation how to find out the expected number based on z score.

Solution Preview

HI there,

Here is my answer:

(a) ...

Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

View More Free Quizzes
Related BrainMass Solutions

  • Normal Distribution and Values

    (b) Find P(z < 1), the percentage of the standard normal distribution below the z-score of 1. (c) Find P(-1.23 < z < 0.5). (d) Find P( z > -3).

  • Normal Probability

    Find the number of hours that represent the the 40th percentile. b. Scores on an English placement test are normally distributed with a mean of 36 and standard deviation of 6.5. Find the score that marks the top 5%. Please see the attachments.

  • Data Analysis, Graphs and Hypothesis Testing

    Construct a histogram of the total number of candies. e. Use the z-score method to identify any potential outliers and outliers. Z score is calculated in excel.

  • Normal Distribution and Probability.

    Find the amount of energy used beyond which managers are expected to attend this workshop. d.

  • Calculation of probability based on normal distribution

    Solving for a we have a =27.7473 Similarly P(Z>1.2815) =0.10 Thus . Solving for b we have b =35.8526 This solution gives the step by step method for computing probabilities based on Z score.

  • Important information about Probability calculation based on Z score

    Cumulative Percentage 97.00% Z Value 1.880794 X Value 212.6159 The solution provides step by step method for the calculation of probability calculation based on Z score .

  • Goodness of Fit Test: Telephone Calls Received

    (b) Let X = an aptitude test score. Find the expected frequency of the class: 80 X < 90. Z1=(80-72)/8=1 Z2=(90-72)/8=2.25 P(1<z<2.25)=P(z<2.25)-P(z<1)=0.9878-0.8413=0.1465 Expected frequency=60*0.1465=8.79.

  • Z score

    This solution gives the step by step method for computing probabilities based on Z score.

  • Statistics questions***

    Jane Smith is a student in the MBA 751 Econometrics course and she received an 83.6% on her final exam grade. The mean of exam scores is expected to be a 75% with a standard deviation of 8.5%. Compute a Z-score for Jane. II.

View More Related Solutions