Determine whether a normal sampling distribution can be used. If can be used, test the claim about the difference between two population proportions

$$p _ { 1 }$$

and

$$p _ { 2 }$$

at the level of significance

$$\alpha$$

. Assume the samples are random and independent. Claim:

$$p _ { 1 } = p _ { 2 }; \alpha = 0.10$$

. Sample statistics:

$$x _ { 1 } = 42, n _ { 1 } = 150$$

and

$$x _ { 2 } = 76, n _ { 2 } = 200$$

A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 attended the midnight showing. An appropriate alternative hypothesis is: a. p = 0.20 b. p > 0.20 c. p < 0.20 d. $p \leq 0.20$

Chemical analyses of 1599 red and 4898 white Italian wines showed the next summary statistics for $\mathrm{pH}$ (a measure of acidity):

Is there a difference in $\mathrm{pH}$ between red and white wines?

d) Is there a significant difference in $\mathrm{pH}$ ?

Here are the annual numbers of deaths from tornadoes in the United States from 1995 through 2015:

30, 25, 67, 130, 94, 41, 40, 55, 54, 35, 38, 67, 81, 126, 21, 45, 553, 70, 55, 47, 36

Find these statistics:

a) mean

b) median and quartiles

c) range and IQR

Find the range, variance, and standard deviation. Fifteen students were selected and asked how many hours each studied for the final exam in statistics. Their answers are recorded here.

$$\begin{array}{lllllllllllllll}8 & 6 & 3 & 0 & 0 & 5 & 9 & 2 & 1 & 3 & 7 & 10 & 0 & 3 & 6\end{array}$$

How much do American families spend on entertainment each month. A survey was conducted and the amounts spent on entertainment in the previous month were recorded. Assuming that the population standard deviation is $50 determine the 99% confidence interval estimate of the mean monthly amount of money spent by American families. Source: Adapted from the Bureau of Labor Statistics.

According to a recent U.S. Bureau of Labor Statistics report, the proportion of married couples with children in which both parents work outside the home is 59%. You select an SRS of 50 married couples with children and let $\hat{p}=$ the sample proportion of couples in which both parent work outside the home. Identify the mean of the sampling distribution of $\hat{p}.$

Imagine that your statistics instructor provided six tests throughout the semester. You were given the following exam results: 79, 64, 84, 82, 92, and 77 (percent correct). the professor selected two exam results at random, calculated their mean, and used this result to the grade you will receive for the course. Using this compute the population mean.

Choose the letter of the correct term or concept below to complete the sentence. a. variance b. sample c. longitudinal study d. control group e. single-blind experiment f. double-blind experiment g. placebo effect h. statistics i. normal j. frequency distribution. In an experiment, the __________ includes the participants who are not exposed to experimental variables.

Suppose you want to study the number of e-mail accounts owned by students in your statistics class. What kind of sample is it if you

(a) survey each student who has a student ID number end- ing in an odd number.

(b) survey all the students sitting in the front row, and

(c) survey every fifth student who arrives at the classroom?

Listed below are the winning times (in seconds) of women in the 100 -meter dash for consecutive summer Olympic games, listed in order by year. Assume that the times are sample data from a larger population. Find the values of the indicated statistics.

$$\begin{array}{lllllllll} 11.07 & 11.08 & 11.06 & 10.97 & 10.54 & 10.82 & 10.94 & 10.75 & 10.93 \end{array}$$

e. Range.

Listed below are the winning times (in seconds) of women in the 100 -meter dash for consecutive summer Olympic games, listed in order by year. Assume that the times are sample data from a larger population. Find the values of the indicated statistics.

$$\begin{array}{lllllllll} 11.07 & 11.08 & 11.06 & 10.97 & 10.54 & 10.82 & 10.94 & 10.75 & 10.93 \end{array}$$

b. Median.

Gather Vocabulary Knowledge Additional Big Question words are listed below. Categorize the words by deciding whether you know each one well, know it a little bit, or do not know it at all.

connection fact feeling information insight instinct insight research senses/sensory sources statistics

Write the definitions of the words you know.

Select the best answer. Jorge's score on Exam 1 in his statistics class was at the 64th percentile of the scores for all students. His score falls (a) between the minimum and the first quartile. (b) between the first quartile and the median. (c) between the median and the third quartile. (d) between the third quartile and the maximum. (e) at the mean score for all students.