The house brand premium chocolate chip cookie for Sale Mart Supermarket is called Choco-Champs. The company sells them only in a small pack, claiming in advertisements that this sized package of cookies is figuratively bursting with about 250 real chocolate chips contained within the cookies. A consumer testing lab tech is double checking this claim, and has collected a random sample of 9 packs of Choco-Champs from as many randomly selected store locations. A technician appropriately cold washes the cookies and counts the chips in each package. The results of these cold washes were recorded as follows:

246	247	241
245	249	247
243	245	251

Test the claim by Sale Mart with the equivalence of 99% confidence. [HINTS: When calculating sample statistics, round any answers to the nearestwhole chip, if necessary. You should round any probability distribution values, standardized scores and/or any probabilities to the nearest thousandth, if necessary though without reporting any insignificant digits.]

Question 1)

What is the sample size?

____________

Question 2)

This sample size is considered large.

a)true

b)false

Question 3)

This context involves hypothesis testing for a single population and a sample selected from it.

a)agree

b)disagree

Question 4)

What is the sample mean?

_________

Question 5)

The population standard deviation, symbolized by or lower case sigma, is known.

a)true

b)false

Question 6)

What is the sample standard deviation?

___________

Question 7)

What is the most appropriate null hypothesis for this context?

a)H₀: 250

b)H₀: = 250

c)H₀: > 250

d)H₀: < 250

e)H₁: 250

f)H₁: = 250

g)H₁: > 250

h)H₁: < 250

Question 8)

What is the most appropriate research or alternative hypothesis for this context?

a)H₁: 246

b)H₁: = 246

c)H₁: > 246

d)H₁: < 246

e)H₁: 250

f)H₁: = 250

g)H₁: > 250

h)H₁: < 250

i)H₁: 249

j)H₁: = 249

k)H₁: > 249

l)H₁: < 249

Question 9)

What type of single population hypothesis test is appropriate for this context?

a)one-tail, left-tail

b)one-tail, right-tail

c)two-tail

d)no-tail

Question 10)

Given all the details discussed in the previous items and based on the context, what is the most appropriate probability distribution associated with this hypothesis testing?

a)X^2

b) F

c)Student's t ort

d)standard normal orz

Question 11)

What are the degrees of freedom,df, for this context?

_________________

Question 12)

What is the value of the test statistic,written without insignificantdigits?

_______

Question 13)

What is the chance of a Type I error in this context?

__________________

Question 14)

What is the absolute value of the critical value, rounded to the thousandths place?In other words, ignore any positive or negative signs.

_____________

Question 15)

__________

Question 16)

Compute the lower and upper bounds for the 99% confidence interval associated with this sample mean and sample size.

Express your answer rounded to the nearest thousandth if necessary.

lower or left bound: ________________ uppor or right bound: _________________

Question 17)

Check all of the following rejection rules that apply to this hypothesis testing context. (multiple answers)

a)The test statistic is more extreme than the crtitical value b)Thep-value is smaller that the level of significance,

c)The hypothesized value falls outside the corresponding confidence interval

Question 18)

What is the most appropriate technical conclusion,based on the available evidence (e.g.,thegivensample size) and testing at the reported level of significance?

NOTES: For a marginal finding, let's agree the difference between test stat and critical value is approximately 0.2 or less. For an extreme (high) finding, let's agree the test stat is approximately double or half the critical value.

a)Marginally fail to reject the null hypothesis

b)Fail to reject the null hypothesis

c)Highly fail toreject the null hypothesis

d)Marginally reject the null hypothesis

e)Reject the null hypothesis

f)Highly reject the null hypothesis

g)No conclusion can be drawn at this time based on the findings. Question 19)

What is the most appropriate contextual conclusion,based on the available evidence (e.g.,thegivensample size) and testing at the reported level of significance? This states the findings without statistical jargon.

a)It is marginally reasonable that the mean number of chocolate chips per bag is 250.

b)It is reasonable that the mean number of chocolate chips per bag is 250

c)it is highly reasonable that the mean number of chocolate chips per bag is 250

d)It is marginally reasonable that the mean number of chocolate chips per bag is 250 e)It is unreasonable that the mean number of chocolate chips per bag is 250

f)It is highly unreasonable that the mean number of chocolate chips per bag is 250.

g)No conclusion can be drawn at this time based on the findings

Question 20)

What is the most appropriate statement about statistical significance?

NOTES: For a marginal finding, let's agree the difference between test stat and critical value is approximately 0.2 or less. For an extreme (high) finding, let's agree the test stat is approximately double or half the critical value

a)Marginally statistically insignificant

b)statistically insignificant

c)Extremely statistically insignificant

d)Marginally statistically significant

e)Statistically significant

f)Extrmemely statistically significant

g)No conclusion can be drawn at this time based on the findings