Question

In: Statistics and Probability

A reading group claims that Americans read more as they grow older. A random sample of...

  1. A reading group claims that Americans read more as they grow older. A random sample of 45 Americans age 60 and older read for a mean length of 62.8 minutes per day, with a population standard deviation of 18.3 minutes per day. A random sample of 88 Americans between ages 50 and 59 read for a mean length of 53.9 minutes per day, with a population standard deviation of 23.1 minutes per day. At the 0.01 level of significance, test the claim that the mean time spent reading per day by Americans age 60 and older is longer than the mean time spent reading per day by Americans between the ages of 50 and 59.
  1. State the hypotheses and identify the claim.
  1. Find the critical value(s)

  1. Compute the test value.

  1. Make the decision to reject or not reject the null hypothesis.

  1. Summarize the results.

Solutions

Expert Solution


Related Solutions

3) A random sample of 1001 Americans aged 15 or older revealed that the amount of...
3) A random sample of 1001 Americans aged 15 or older revealed that the amount of time spent eating or drinking per day is 1.22 hours, with a standard deviation of 0.65 hours. a) Suppose a histogram of time spent eating and drinking were right-skewed. Use this result to explain why a large sample size is needed in order to construct a confidence interval for the mean time spent eating and drinking each day. (2 points) b) There are over...
In a random sample of 50 Americans five years ago (Group 1), the average credit card...
In a random sample of 50 Americans five years ago (Group 1), the average credit card debt was $5,779. In a random sample of 50 Americans in the present day (Group 2), the average credit card debt is $6,499, Let the population standard deviation be $1,152 five years ago, and let the current population standard deviation be $1,634. Using a 0.01 level of significance, test if there is a difference in credit card debt today versus five years ago. What...
Although older Americans are most afraid of crime, it is young people who are more likely...
Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At Jefferson High School, a random sample of n = 68 students (ages 16-19) showed that r = 9 had been victims of a crime. Note:...
Although older Americans are most afraid of crime, it is young people who are more likely...
Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At a high school, a random sample of n = 65 students (ages 16-19) showed that r = 11 had been victims of a crime. Note:...
Although older Americans are most afraid of crime, it is young people who are more likely...
Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At a high school, a random sample of n = 66 students (ages 16-19) showed that r = 10 had been victims of a crime. Note:...
15% of all Americans have hearing trouble. a) In a random sample of 120 Americans, what...
15% of all Americans have hearing trouble. a) In a random sample of 120 Americans, what is the probability at most 14% have hearing troubles? b) Suppose that a random sample of 120 Americans who regularly listen to music using headphones results in 24 having hearing trouble. What might you conclude?
1.) A researcher claims that Americans use more consonants in their language than the vowels. To...
1.) A researcher claims that Americans use more consonants in their language than the vowels. To test this claim, researcher randomly selects 26 English words (please randomly generate these English words by yourself and explicitly state them in your homework as your sample). Based on this sample; a) State your hypothesis H0 and H1 claiming that Americans use more consonants in their language. b) State the decision rule, sample statistics, table value and test statistic in the same order as...
Calculate the test statistic. A research company claims that no more than 55% of Americans regularly...
Calculate the test statistic. A research company claims that no more than 55% of Americans regularly watch FOX News. You decide to test this claim and ask a random sample of 425 Americans if they watch this network regularly. Of the 425 sampled, 255 respond yes. Calculate the test statistic for the hypothesis test. a) -2.07 b) 1.645 c) -1.96 d) 2.07 e) None of the above.
An advocacy group claims that Blacks/African-Americans are over-represented in the incarcerated population. In other words, they...
An advocacy group claims that Blacks/African-Americans are over-represented in the incarcerated population. In other words, they are claiming that there is a higher percentage of Blacks/African-Americans in the incarcerated population than in the general US population. A random sample of 150 US residents is sampled and 26 identify as Black/African-American. In another random sample of 40 US incarcerated individuals, 14 identify as Black/AfricanAmerican. Is there enough evidence to support the group’s claim at the 1% level of significance? A. State...
1. From now until 2050, the human population is expected to grow bigger, more slowly, older,...
1. From now until 2050, the human population is expected to grow bigger, more slowly, older, and more urban. Of these four factors, which do you think will have the biggest effect on the climate or environment? 2. In the U.S., more and more people are living alone in their own homes and buying their own cars instead of living with family or carpooling. How can materialism and capitalism impact climate or environment? 3. The author proposes three lines of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT