How many times do you shop in a month
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How many times do you shop in a month?. Jacquelin Gonzalez Period: 6 (2011-2012). California Standards.

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How many times do you shop in a month

How many times do you shop in a month?

Jacquelin Gonzalez Period: 6

(2011-2012)


California standards

California Standards

8.0 Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line and bar graphs, stem-and leaf- displays, scatter plots, and box-and-whisker plots.

17.0 Students determine confidence intervals for a simple random sample from a normal distribution of data and determine the sample size required for a desired margin of error.

18.0 Students determine the P-value for a statistics for a simple random sample from a normal distribution.


I hypothesis that people shop around 6 times a month

Hypothesis

I hypothesis that people shop around 6 times a month.


Data collection

Data Collection

I collected the data by using stratify sampling method.

I asked 10 freshman, 10 sophomores, 10 juniors, and 10 seniors. The total of students I asked were 40.


Data

Times shopping in a month.

5, 8, 7, 5, 9, 12, 10, 4, 4, 8, 5, 8, 5, 7, 5, 4, 6, 3, 5, 3, 2, 10, 12, 11, 10, 5, 4, 5, 5, 7, 5,. 4, 6, 10, 6, 9, 6, 7, 6, 5.



Statistics

Statistics

From my survey, how many times do students go shopping in a month is 6.45 times with sample standard deviation 2.5414 times.


Confidence interval
Confidence Interval

  • 95%Cofidence Interval

  • Z- Interval

  • (5.6624, 7.2376)

  • I am 95% confident that the mean of shopping in a month is between 5.66 to 7.23.


Hypothesis testing

Hypothesis Testing

Claim: I believed that the number of time centurions go shopping in a month is 6.

P-Value= .2627671971<x=0.05

At 5% level of significance we fail to reject the Ho.

There is enough evidence to support our claim (Hypothesis.)


Error analysis
Error Analysis

  • My sample mean is 6.45, and the 95% confidence level for the population mean is between 5.66 to 7.23. The marginal error is about .79 times.

  • My sample error is due to possible under-representation of the population. I might missed some students that were absent the day I asked the question or the students might have lied.


Conclusion

Conclusion

I hypothesized that students from Century High School shopping in a month average is 6 times. In a survey of 40 students, I find the sample mean of 6.45 times with a standard deviation of 2.5414 times. I conclude that the total of times students shop in a month, is between 5.66 to 7.23 times with the 95% confident. I tested my initial hypothesis with 5% level of significance, and confirmed my hypothesis is correct.



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