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Chapter 9: Q.70 (page 541)

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than

seven hours of sleep per night, on average?

The TypeIIerror is not to reject that the mean number of hours of sleep LTCC students get per night is at least seven when,

in fact, the mean number of hours

a. is more than seven hours.

b. is at most seven hours.

c. is at least seven hours.

d. is less than seven hours.

Short Answer

Expert verified

d. is less than seven hours.

Step by step solution

01

Given information: 

伪(significancelevel)=0.05n=22蟽=1.93x炉=7.24Also,fromtheproblem,wecanstatethenullandalternativehypothesesas:H0:渭鈮�7;Ha:渭<7

From this information, we can find out the p-value.

02

Solution: 

The correct option is d.

From this information, we can find out the p-value to be greater than significance value.

Since the p-value is greater than 0.05 we can reject the null hypothesis.

The null hypothesis is false.

And TypeIIerror, therefore, occurs when we do not reject the null hypothesis even when it is false.

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Most popular questions from this chapter

H0:渭鈮�1,Ha:渭>1

Assume the p-value is 0.1243. What type of test is this? Draw the picture of the p-value.

Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if68%also represents California鈥檚 percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California, was randomly selected for comparison. In the same year,34of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year鈥檚 rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin?

After conducting the test, your decision and conclusion are

a. Reject H0: There is sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.

b. Do not reject H0: There is not sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.

c. Do not reject H0: There is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.

d. Reject H0: There is sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.

"The Craven," by Mark Salangsang

Once upon a morning dreary

In stats class I was weak and weary.

Pondering over last night鈥檚 homework

Whose answers were now on the board

This I did and nothing more.

While I nodded nearly napping

Suddenly, there came a tapping.

As someone gently rapping,

Rapping my head as I snore.

Quoth the teacher, 鈥淪leep no more.鈥�

鈥淚n every class you fall asleep,鈥�

The teacher said, his voice was deep.

鈥淪o a tally I鈥檝e begun to keep

Of every class you nap and snore.

The percentage being forty-four.鈥�

鈥淢y dear teacher I must confess,

While sleeping is what I do best.

The percentage, I think, must be less,

A percentage less than forty-four.鈥�

This I said and nothing more.

鈥淲e鈥檒l see,鈥� he said and walked away,

And fifty classes from that day

He counted till the month of May

The classes in which I napped and snored.

The number he found was twenty-four.

At a significance level of 0.05,

Please tell me am I still alive?

Or did my grade just take a dive

Plunging down beneath the floor?

Upon thee I hereby implore.
See all solutions

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