### Mean math scores for females

Assignment Help Basic Statistics
##### Reference no: EM13922284

Question 1: At the PISA Web site (www.pisa.oecd.org), there are summary statistics for math scores of 15-year-old males and females for various countries separately. The mean math scores for males, the mean math scores for females, and also the di erence of the two
means are listed in the Excel le.

a. Use any software and obtain the histogram for the mean math scores for males.

b. How would you describe the overall shape of this data set? Do you suspect any outlying group in this data set?

c. Report the 5-number summaries for the di erence of the two means. (Note: Don't use software. Use the method discussed in class).

d. Obtain the back-to-back stemplot and compare the distribution of the mean mathscores for males and for females.

e. Use any software and report the sample mean and sample standard deviation for the mean math scores for females.

f. Based on the given data, what proportion of the mean math scores for females falls within 2 standard deviation of the mean?

Question 2: It is well-known that the relationship between degree Fahrenheit (F) and degree Celsius (C) is

F = 9 5 C + 32

We randomly selected 100 days in October from 2010-2014 and recorded the temperature (in degree Fahrenheit) of New York City. We have the following summary statistics from R:

Min. 1st Qu. Median Mean 3rd Qu. Max. std dev
66.00 73.00 76.50 76.55 79.00 92.00 5.015884
Report the summary statistics in degree Celsisus.

Question 3: The amount of sodium is recorded for each of the 200 randomly selected 9-ounce serving of chicken noodle soup which yields a mean of 1100 mg and a standard deviation of 150 mg. Moreover, the data distribution looks approximately bell-shaped.

a. Approximatelhy, what proportion of soups have amount of sodium is less than 950 mg?

b. Approximatelhy, what proportion of soups have amount of sodium is between 800 mg and 1550 mg?

c. An expert said that when the amount of sodium is 6 standard deviation higher than the mean, it is then considered to be dangerous. In this case, what amount (in mg) is considered to be dangerous?

Question 4: Consider the follow split stem-and-leaf plot of 52 data points: Leaf unit = 0.1

1 12
1 668
2 04
2 888
3 1334
3 555778899
4 0000111233444
4 56788
5 222
5 779
6 03
6 6
7 2
7
8
8 9

R gives the following summary statistic:

Min. 1st Qu. Median Mean 3rd Qu. Max.

1.100 3.375 4.000 4.060 4.725 8.900

Also the sample variance is reported to be 2.1570.

a. What percentage of data falls below 3.0?

b. Based on the R output, identify all outliers and extreme outliers?

c. Is Empirical Rule applicable here? Why or why not?

d. What do the Empirical Rule and Chebyshev Rule said about the percentage of data fall within 2 standard deviation of the mean? How about the actual percentage of data fall within that range?

e. Find the z-score for the largest and smallest data points.

Question 5: Many people grab a granola bar for breakfast or for a snack to make it through the afternoon slump at work. For the Kashi GoLean Crisp Chocolate Caramel 45 grams bar, the company claimed that the mean amount of protein in each bar is 9 grams with
a standard deviation of 1.5 gram. Suppose the distribution of protein in a bar is normally distributed.

a. What is the probability that the amount of protein is less than 7.75 grams?

b. What is the probability that the amount of protein is between 7.8 and 8.2 grams?

c. Suppose the amount of protein is at least 8.1 grams. What is the probability that it is more than 8.3 grams?

d. What is the amount of protein that is exceeded by 2.5% of all the bars?

Question 6: The types of books borrowed by 36 randomly selected students from York University are:

Psychology Science Education Education Technology Science

Law Technology Science Education Law Technology

Psychology Literature Literature Education Psychology Law

Psychology Literature Technology Law Psychology Literature

Technology Literature Science Education Technology Science

Literature Psychology Law Education Law Education

a. Obtain a bar chart using relative frequency on the vertical axis.

b. Obtain a pie chart for this data set.

c. Do you think the York University should try to acquire more books in one particular subject area? Why or why not?

Question 7: Three of the following students will form the Executive Committee for the York University Students Council:

Annie Charles Darwin Ellen Ginny Justin Kerri Mandy Steve Zach

It was decided that the following random digits will be used to help to choose the committee.

09297 00412 71238 60500 14873 07095 08709

Clearly explain who will be on the committee.

#### Questions Cloud

 What can ofc lightly learn by looking at these elements : Examine the important research terms, concepts, techniques, and the importance of research theory as it relates to homeland security and emergency management research. Amount of credit sales for the month : Swathmore Clothing Corporation grants its customers 30 days' credit. The company uses the allowance method for its uncollectible accounts receivable. During the year, a monthly bad debt accrual is made by multiplying 2% times the amount of credit sal.. Spss assignment-applying analytical strategies : 1. Exploratory Data Analysis. a. Perform exploratory data analysis on all variables in the data set. Realizing that you have six groups, be sure that your exploratory analysis is broken down by group. When possible, include appropriate graphs to h.. Fundamental of bussiness system development class : This tutorial contains the Individual Assignment for week 2 of BSA/375 Fundamental of Bussiness System Development class. Mean math scores for females : Question 1: At the PISA Web site (www.pisa.oecd.org), there are summary statistics for math scores of 15-year-old males and females for various countries separately. The mean math scores for males, the mean math scores for females, and also the di.. Information relates to a company : information relates to a company's accounts receivable: accounts receivable balance at the beginning of the year, \$350,000; allowance for uncollectible accounts at the beginning of the year, \$24,000 (credit balance); credit sales during the year, \$1,.. What daily order quantity is optimal : Demand is normally distributed with a mean of 400 pounds per day and a standard deviation of 50 pounds per day. What daily order quantity is optimal? What is the implied range of shortage cost per machine : Assuming that the optimal number of machines is four, what is the implied range of shortage cost per machine? What quantity of spares should be ordered : If a part fails and a spare is not available, two days will be needed to obtain a replacement and install it. The cost for idle equipment is \$500 per day. What quantity of spares should be ordered?

### Write a Review

#### Determining binomial distribution probabilities

Population of consumers where 30% of them favored a new product and 70% of them disliked it. If 20 persons are sampled, what are the probabilities of finding: Binomial

#### Describing central limit theorem

A population is normally distributed, with a mean of 23.45 and a standard deviation of 3.8. What is the probability of each of the following?

#### Determine margin of error in estimating population mean

Determine the margin of error in estimating the population mean. Sample of 68 college students yields a mean annual income of \$3248. Assuming that the standard deviation = \$885.

#### Describe the economic rationales for various types of

q1. what are the economic rationales for different types of government intervention in health care?q2. explain the

#### Probability that the mean life-span of a sample

What is the probability that the mean life-span of a sample of 64 randomly selected bulbs will exceed 727 hours?

#### Determining trading strategies involving options

Assume that the price of non-dividend paying stock is \$32, its volatility is 30%, and the risk-free rate for all maturities is 5% per annum. Use derivagem to calculate the costs of setting up the following positions.

#### Find the cumulative distribution function

Find the cumulative distribution function and the probability that any given defects occur between 1.5 miles and 2.5 miles along the stretch of road?

#### Population standard deviations-margin of error

The average age of the women was 36.97 with a standard deviation of 8.893. If a 95% confidence interval is calculated to estimate the difference between the two average ages, what is the margin of error? Assume both population standard deviations ..

#### Draw a sketch to show proportion of runners

Mean of 61 minutes and a standard deviation of 9 minutes. Find the proportion of runners who take more than 70 minutes to finish. Draw a sketch to show this proportion.

#### A random sample of 16 emergency reports was selected from

a random sample of 16 emergency reports was selected from the files of an ambulance service. the mean time computed

#### Conduct the same two-tail hypothesis test

Fast ‘n Clean operates 12 laundromats on the east side of the city. All of Fast ‘n Clean's clothes dryers have a label stating "20 minutes for \$1.00." Conduct the same two-tail hypothesis test, but this time use the confidence interval app..

#### A length of buck antlers is normal distributed with a mean

a length of buck antlers is normal distributed with a mean of 1.30 inches and a standard deviation of 0.08 inch. if you