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A lawyer claims that the average years of settling criminal cases filed before courts is three and half years. To test the claim, a watchdog organization randomly selected 35 criminal cases and recorded the years the cases took before the courts have been endered verdicts. The sample mean was 4 years with a standard deviation of three and a half years. Do the data gathered by the said organization provide sufficient basis to accept the claim of the lawyer? Use 0.05 level of significance
The president of the Three Stooges Fan Club thinks that Shemp is underappreciated and that at least 20% of Three Stooges
fans would consider Shemp the funniest stooge. He sends a questionnaire to a random sample of 100 of the members of
the Fan Club and all of the questionnaires are returned. Only 15 of the fans replied that Shemp was their favorite Stooge.
Perform the relevant hypothesis test for the president.
The following data show the age (week) and height (cm) of soybean
plant.
Age (week) 1 2 3 4 5 6 7
Height (cm) 5 13 16 23 33 38 40
Find the least square regression line of height on age.
Is there a significant relationship between a person's age and time spent on social media in a day?
Answer the research questions using the gathered data from 10 respondents below, use 5% significance level.
Age (x): 21, 18, 17, 35, 39, 29, 44, 37, 14, 18
Time for Social Media in a day (hrs) (y) : 6, 7, 7, 4, 4, 5, 2, 3, 8, 7
What is the critical value from the table? *
0.5760
0.6021
0.6319
0.6664
What is the total of x (age)? Input the number ONLY. *
What is the total of y (time)? Input the number ONLY. *
What is the total of x^2? Input the number ONLY. *
What is the total of y^2? Input the number ONLY. *
Is there a significant relationship between a person's age and time spent on social media in a day?
Answer the research questions using the gathered data from 10 respondents below, use 5% significance level.
Age (x): 21, 18, 17, 35, 39, 29, 44, 37, 14, 18
Time for Social Media in a day (hrs) (y) : 6, 7, 7, 4, 4, 5, 2, 3, 8, 7
Which is the alternative hypothesis? *
There is a significant difference between a person's age and their time spent on social media in a day.
There is a significant relationship between a person's age and their time spent on social media in a day.
There is no significant relationship between a person's age and their time spent on social media in a day.
There is no significant difference between a person's age and their time spent on social media in a day.
What is the df? *
df = 8
df = 7
df = 9
df = 10
Is there a significant relationship between a person's age and time spent on social media in a day?
Answer the research questions using the gathered data from 10 respondents below, use 5% significance level.
Age (x): 21, 18, 17, 35, 39, 29, 44, 37, 14, 18
Time for Social Media in a day (hrs) (y) : 6, 7, 7, 4, 4, 5, 2, 3, 8, 7
Which is the null hypothesis? *
There is a significant difference between a person's age and their time spent on social media in a day.
There is a significant relationship between a person's age and their time spent on social media in a day.
There is no significant relationship between a person's age and their time spent on social media in a day.
There is no significant difference between a person's age and their time spent on social media in a day.
A manufacturer of computer chips claims that less than 10% of this products are defective.When 1000 chips were drawn from a large production.7.5% were found to be defective.
(a)What is the population of interest?
(b) what is the sample?
(c)What is the parameter?
(d)What is the statistics?
(e)Does the value of 10% refer to parameter or to the statistics?
(f)Is the value of 7.5% a parameter or is a statistic?
(g) Explain briefly how the statistic can be used to make inferences about the parameter to test the claim.
The Average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95%confidence level.
Steps: Solution:
3.Collect and present sample evidence.
a.Collect the sample information The sample information consists of
_____(6),_______(7)and______(8).
b.Find the point estimate. The point estimate for the population
mean is ____________(9)
The Average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95%confidence level.
Steps: Solution:
2.Specify the confidence interval criteria.
b.Determine the test statistic to be used The test statistic is ___-test(4)
to calculate the interval.
c.State the level of confidence The level of confidence is _______(5)
The Average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95%confidence level.
Steps: Solution:
2.Specify the confidence interval criteria.
a.Check the Assumptions. The sample size of _____(2)chocolate
bars is __________(3)distributed
coming from a normally distributed
population.
