Two teaching methods and their effects on science test scores are being reviewed. A random sample of 11 students, taught in traditional lab sessions, had a mean test score of 78.1 with a standard deviation of 3 . A random sample of 19 students, taught using interactive simulation software, had a mean test score of 84.1 with a standard deviation of 5.9 . Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1 be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4:

State the null and alternative hypotheses for the test.

Step 2 of 4:

Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4:

Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.

Step 4 of 4:

State the test's conclusion.

At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and 13% are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find the following probabilities. (Enter your answers to three decimal places.)

(a) P(student will graduate | student is female)


(b) P(student will graduate and student is female)


(c) P(student will graduate | student is male)


(d) P(student will graduate and student is male)


(e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.


(f) The events described the phrases "will graduate and is female" and "will graduate, given female" seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate | female) different?

The term and refers to the sample space of all students, while the term given refers to restricting the sample space to females only. The term given refers to the sample space of all students, while the term and refers to restricting the sample space to females only.     These probabilities are the same. This is by chance. These probabilities are typically the same.

At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and 13% are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find the following probabilities. (Enter your answers to three decimal places.)

(a) P(student will graduate | student is female)


(b) P(student will graduate and student is female)


(c) P(student will graduate | student is male)


(d) P(student will graduate and student is male)


(e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.


(f) The events described the phrases "will graduate and is female" and "will graduate, given female" seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate | female) different?

The term and refers to the sample space of all students, while the term given refers to restricting the sample space to females only. The term given refers to the sample space of all students, while the term and refers to restricting the sample space to females only.     These probabilities are the same. This is by chance. These probabilities are typically the same.

At Litchfield College of Nursing, 84% of incoming freshmen nursing students are female and 16% are male. Recent records indicate that 60% of the entering female students will graduate with a BSN degree, while 80% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find the following probabilities. (Enter your answers to three decimal places.)

(a) P(student will graduate | student is female)


(b) P(student will graduate and student is female)


(c) P(student will graduate | student is male)


(d) P(student will graduate and student is male)


(e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.


(f) The events described the phrases "will graduate and is female" and "will graduate, given female" seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate | female) different?

The term given refers to the sample space of all students, while the term and refers to restricting the sample space to females only.These probabilities are the same.    

This is by chance.

These probabilities are typically the same.

The term and refers to the sample space of all students, while the term given refers to restricting the sample space to females only

At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and 13% are male. Recent records indicate that 60% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find the following probabilities. (Enter your answers to three decimal places.)

(a) P(student will graduate | student is female)

(b) P(student will graduate and student is female)

(c) P(student will graduate | student is male)

(d) P(student will graduate and student is male)

(e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.


(f) The events described the phrases "will graduate and is female" and "will graduate, given female" seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate | female) different?

This is by chance. These probabilities are typically the same.

The term and refers to the sample space of all students, while the term given refers to restricting the sample space to females only.    

These probabilities are the same.

The term given refers to the sample space of all students, while the term and refers to restricting the sample space to females only.

1.) A confidence interval was used to estimate the proportion of statistics students that are females. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642). Which of the following interpretations is correct?

Select one:

A. 90% of the sampled students are female.

B. We are 90% confidence that proportion of all statistics female students falls in the interval 0.438 to 0.642

C. 90% of all statistic students are female.

D. We are 90% confident that the sample proportion of statistics female students falls in interval 0.438 to 0.642.

2.)The Friday after Thanksgiving is the biggest shopping day of the year. You are interested in the number of people who claim to have finished their Christmas shopping at the end of this weekend. On Monday, you take a random sample of people by standing at a toll booth at 7:00 a.m. and asking every third commuter if he or she has finished Christmas shopping. Based on the last year's data, you expect approximately 10% to claim completion of Christmas shopping. How many commuters must you sample of a 95% interval estimate to have a margin of error of +3%?

Select one:

A. 269

B. 384

C. 385

D. 268

10

In California, we need more rain to sustain the health of our natural environment, argriculture, and economic. A group of statistics students in Oxnard College recorded the amount of rain during 2016-2017 school year, measuring the intensity by the inches of rain, and the results were:

The mean (¯x) rain intensity: inches (Please show your answer to 1 decimal place.)

The median rain intensity: inches

The mode rain intensity: inches (Please separate your answers by ',' in bimodal situation. Enter DNE if there is no mode.)

11

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 25 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.5 hours.

Use the Empirical Rule to answer the following questions.

a) 68% of the students spend between hours and hours on Statistics each week.

b) 95% of the students spend between hours and hours on Statistics each week.

c) 99.7% of the students spend between hours and hours on

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 19 students, taught in traditional lab sessions, had a mean test score of  77 with a standard deviation of 3.6 . A random sample of 12 students, taught using interactive simulation software, had a mean test score of  86.7 with a standard deviation of 6.5 . Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let  μ1 be the mean test score for the students taught in traditional lab sessions and μ 2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.

Step 4 of 4: State the test's conclusion.

Psychologist Robert Rosenthal (1973) reports about an experiment at the U.S. Air Force Academy Preparatory School. One hundred airmen were randomly assigned to five different math classes. Each teacher was told that his or her students were placed in groups based on high or low ability when in reality the airmen were randomly assigned to each group. The outcome showed that students in classes labeled “high-ability” improved much more in math scores than those labeled as “low-ability.” Remember, the groups were randomly assigned and not based on high or low ability. What happened is that the teachers subtly communicated their expectations, and the students performed accordingly. What are some ways that teachers communicate their expectations about the ability of students to the class? Why is this study so important for all teachers? Students in kindergarten are placed into different reading groups based on ability. Do these beginning students know who is in the “smart” group and who is in a lower reading group? How does this affect each student’s self-opinion? Could this self-opinion affect the quality of work? If a student begins the education process as labeled in a group, do these labels last throughout elementary, middle, and high school?   

The weights (in ounces) of 18 cookies are shown.
0.71    1.35    0.85    1.62    0.75    0.87   
1.35    1.53    0.99    0.71    1.19    1.47   
0.47    1.22    0.87    1.47    1.72    0.75

Find the IQR of the given sample data. Show the exact value, no rounding.

Answer:

2.

The amount spent on textbooks for the fall term was recorded for a sample of five hundred university students. The mean expenditure was calculated to be $500 and the median expenditure was calculated to be $425. Which of the following statements is accurate?

Select one:

The most frequently occurring textbook cost in the sample was $425

50% of the students sampled had textbook costs that were no less than $425

50% of the students sampled had textbook costs that were less than $500

50% of the students sampled had textbook costs equal to $425

50% of the students sampled had textbook costs equal to $500

3.

Suppose the results of a math test given to a group of 30 students can be summarized as follows: the mean of the test scores is 78, and the median of the test scores is 71. What type of distribution most likely describes the shape of the test scores?

Select one:

symmetric

skewed to the right

unable to determine with the information given

skewed to the left