Step-by-step solutions to hundreds of high school statistics problems

Recent questions in High school statistics

William Cleghorn 2021-12-09 Answered

Two types of aluminum sheet metal are being tested to use as aircraft skin. 15 samples of Sheet metal 1 have a mean Tensile strength of 24 KSI and 13 samples of Sheet metal 2 have a mean Tensile strength of 19 KSI both having a standard deviation of 2 KSI. They will use sheet metal 1 if its Tensile strength exceeds the Tensile strength of sheet metal 2 by at least 2 KSI. Make a conclusion based on the given data, use 0.05 level of significance.

Nicontio1 2021-12-09 Answered

The average age of UST employees is 34 years old. Assume the data is normally distributed. If the standard deviation is 3 years, find the probability that the age of a randomly selected UST employees will be in the range between 25 and 40 years old.The average age of UST employees is 34 years old. Assume the data is normally distributed. If the standard deviation is 3 years, find the probability that the age of a randomly selected UST employees will be in the range between 25 and 40 years old.

tearstreakdl 2021-12-09 Answered

An insurance company hands out flyers on which customers leave their contact e-mail so that the insurance company can contact them later. These flyers are transcribed to a computer system. In the data entry operation, a typist reads the handwriting from the flyer.
In 95 percent of the cases, the handwriting is read correctly. In 0.5 percent of the cases, the typist makes a mistake and writes something different from what he had read on the flyer.
Create an event tree. What is the probability that the data are entered correctly?

diferira7c 2021-12-09 Answered

A telephone survey to determine viewer response to a new television show obtained the following data.
$\begin{array}{ccc} R a t i n g & F r e q u e n c y \\ P o o r & 4 \\ Below Average & 8 \\ A v e r a g e & 11 \\ Above Average & 14 \\ E x c e l l e n t & 13 \end{array}$
a. What is the probability that a randomly selected viewer will rate the new show as average or better?
b. Whta is the probability that a randomly selected viewer will rate the new show below average or worse?

untchick04tm 2021-12-09 Answered

At the conclusion of a movie shown at a theater, 200 people who viewed the movie. The table below shows the results.
Movie Ratings
$\begin{array}{ccc} A g e & 1 S t a r & 2 S t a r s & 3 S t a r s & 4 S t a r s & 5 S t a r s \\ U n d e r 21 & 2 & 8 & 10 & 10 & 20 \\ 21 - 40 & 3 & 7 & 15 & 15 & 10 \\ 41 - 60 & 5 & 11 & 3 & 12 & 19 \\ O v e r 60 & 8 & 16 & 10 & 5 & 11 \end{array}$
Based on the data, what is the probability that a randomly selected person age 40 or under rated the movie at 4 stars or 5 stars?
A. 0.30
B. 0.55
C. 0.51
D. 0.25

hvacwk 2021-12-09 Answered

a) If the standard deviation is 0, then the variance is .
b) The Empirical Rule states that approximately ? % of the data lies witin one standard deviations of the mean.
c) Chebychev's theorem states that there is at least % of the data lies within two standard deviations of the mean.

Carol Valentine 2021-12-08 Answered

Given the following data, compute for the mean, median and mode. A. Scores of grade 10 students in a written test. 12,17,18,2,19 20,15,22,16,8 20,23,11,25,9.

obrozenecy6 2021-12-08 Answered

The table below gives the distribution for the number of heavy rainstorms reported by 330 weather stations in Zambia over one year period.
Number of rainstorms (x) 0 1 2 3 4 5 more than 5
Number of stations ( f )
reporting x rainstorms
102 114 74 28 10 2 0
i. Find the expected frequencies of rainstorms given by the Poisson distribution having the same mean and total as the observed distribution.
ii. Use the 2 χ distribution to test the adequacy of the Poisson distribution as a model for these data.

eliaskidszs 2021-12-08 Answered

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people said three cars, nineteen people said four cars, twelve people said five cars, nine people said six cars, and eleven people said seven cars. For this data:
(a) what is the mean?
(b) what is the median?
(c) what is the mode?
Explain your answers

b2sonicxh 2021-12-08 Answered

The following table gives the number of modules that a sample of first-year students are registered for.
$\begin{array}{cc} 10 & 7 & 6 & 5 & 6 & 3 & 3 & 6 & 9 & 1 \\ 5 & 4 & 8 & 6 & 4 & 2 & 2 & 2 & 8 & 6 \\ 4 & 7 & 10 & 2 & 3 & 4 & 8 & 7 & 8 & 3 \end{array}$
Construct a frequency distribution table for the data. Include frequencies, relative frequencies and cumulative relative frequencies, using percentage notation for relative frequencies.

Harold Kessler 2021-12-08 Answered

According to national data, 20.7% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries. What is the probability that at least one of them is cleared with an arrest?

osula9a 2021-12-08 Answered

What is the degree of freedom (sd) in the analysis of a 4-by-5-dimensional table that is summarized by counting the data? Please select one: a. 12 b. 18 c. 19 d. 15 e. 20

veudeje 2021-12-07 Answered

a) The first quarter for the following data is
39,29,20,17,38,39,14,30,32,36,14
1. 39 2. 17 3. 20 4. 14 5. none of the above
b) The second quarter for the following data is
39,29,20,17,38,39,14,30,32,36,14
1. 17 2. 30 3. 31 4. 39 5. none of above

Julia White 2021-12-07 Answered

Michelle's Mega Muffins recently sold 6 muffins, of which 3 were poppy seed muffins. Considering this data, how many of the next 16 muffins sold would you expect to be poppy seed muffins?

Ben Shaver 2021-12-07 Answered

Find the mode, mean, and standard deviation of the following data: 3, 2, 3, 4, 6

angepepagiortzb 2021-12-07 Answered

Random sample of size 4 are drawn from the finite population which consists of the numbers 2,3,7,8,and 10.
a. What is the population mean, population variance and population standard deviation of the given data?
b. What is the sampling distribution of the sample means for a sample of size 2 which can be drawn without replacement from the given population?
c. What is the mean, variance and standard deviation of the sampling distribution?

skomminbv 2021-12-07 Answered

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7-th percentile of the data is 16 hours.
What is the value of the 50-th percentile?

Mahagnazk 2021-12-07 Answered

Records of 40 used passenger cars and 40 used pickup trucks (none used commercially) were randomly selected to investigate whether there was any difference in the mean time in years that they were kept by the original owner before being sold. For cars the mean was 5.3 years with a population standard deviation, $σ, 2.2 y e a r s$ . For pickup trucks the mean was 7.1 years with population standard deviation, $σ, 3.0 y e a r s$ . Construct the 95% confidence interval for the difference in the means based on these data.

vomiderawo 2021-12-07 Answered

An insurance company sells a $10,000 one-year term life insurance policy to a customer at an anuual premium of $290. According to their data, the probability of a person of this customers

podnescijy 2021-12-07 Answered

An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving aither an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering graduates were planning graduate study.
Are the data from Engineering Horizons consistent with the claim reported by Fortune? Use $α = 0.05$ in reaching your conclusions.
What is the value of the test statistic?
Answer with two decimal places

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