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Chapter 9: Q. 116 (page 555)

The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 137 minutes with a standard deviation of 45 minutes. At α=0.01 level, is the student academic group’s claim correct?

Short Answer

Expert verified

We can conclude that on average, freshman students study for at least2.5hours or150minutes.

Step by step solution

01

Given information

The freshman students study at least2.5hours per day. The mean study time is137minutes with a standard deviation of45minutes.

02

Explanation

State the hypotheses:

The null hypothesis states that on average, freshman students study at least 2.5hours or 150minutes. In symbols:

H0:μ≥150

The alternative hypothesis states that on average, freshman students study less than 2.5hours or 150minutes. In symbols:

H0=μ<150

State the P-value:

P-value=0.0622

State alpha:

a=0.01

Since the null hypothesis is not rejected, we can conclude that on average, freshman students study for at least 2.5hours or150minutes.

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Most popular questions from this chapter

"The Craven," by Mark Salangsang

Once upon a morning dreary

In stats class I was weak and weary.

Pondering over last night’s 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, “Sleep no more.”

“In every class you fall asleep,”

The teacher said, his voice was deep.

“So a tally I’ve begun to keep

Of every class you nap and snore.

The percentage being forty-four.”

“My 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.”

This I said and nothing more.

“We’ll see,” 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.

Driver error can be listed as the cause of approximately 54%of all fatal auto accidents, according to the American Automobile Association. Thirty randomly selected fatal accidents are examined, and it is determined that 14were caused by driver error. Using α=0.05, is the AAA proportion accurate?

You flip a coin and record whether it shows heads or tails. You know the probability of getting heads is 50%, but you

think it is less for this particular coin. What type of test would you use?

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 of them attended the midnight showing. At a 1% level of significance, an appropriate conclusion is:

a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.

b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than 20%.

c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.

d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least 20%.

A recent survey in theN.Y. Times Almanac indicated that 48.8%of families own stock. A broker wanted to determine if this survey could be valid. He surveyed a random sample of 250 families and found that142owned some type of stock. At the 0.05 significance level, can the survey be considered to be accurate?
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