The distribution of weights of a large group of high school students is normally distributed with u-55 kg and o-5 kg. Which of the following is true? a. Half of them can be expressed to weigh less than 55 kg. b. All statements are true. C. About 5 percent will weigh more than 63 kg. d. About 2.5 percent will be below 45 kg.

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Instruction: Please help me to answer all the questions correctly.
The distribution of weights of a large group of high school students is normally distributed with µ=55
kg and o-5 kg. Which of the following is true?
a. Half of them can be expressed to weigh less than 55 kg.
b. All statements are true.
C. About 5 percent will weigh more than 63 kg.
d. About 2.5 percent will be below 45 kg.
The marks on a statistics test are normally distributed with a mean of 62 and a variance of 225. If the
instructor wishes to assign B's or higher to the top 30% of the students in the class, what mark is
required to get a B or higher?
а. 74.62
b. 71.53
c. 68.74
d. 69.52
The distribution of weights is a large group is approximately normally distributed. The mean is 80 kg.
and approximately 68% of the weights are between 70 and 90 kg. What is the standard deviation of
the distribution of weights?
а. 20
b. 5
C. 10
d. 15
A recent news program reported that the presidential approval rate was 51% with a margin of error
of t 4%. What is meant by + 4%?
a. The proportion of Americans who approve the president is between 47% and 55%.
b. Unless the true proportion of Americans who approve of the president is between 47% and 55%,
it is unlikely we could have obtained from these sample results.
c. The president's approval rating from those sampled was between 47% and 55%.
d. 4% of the respondents were undecided.
Which one of the following statements about a confidence interval is TRUE?
a. The width of confidence interval is increased when the sample size is increased.
b. Changes in the required level of confidence, 1-alpha, do not affect the width of the confidence
interval.
c. The wider the confidence interval, the least precise the estimate of the population parameter
d. The width of confidence interval is increased when the sample size is decreased.
Transcribed Image Text:Instruction: Please help me to answer all the questions correctly. The distribution of weights of a large group of high school students is normally distributed with µ=55 kg and o-5 kg. Which of the following is true? a. Half of them can be expressed to weigh less than 55 kg. b. All statements are true. C. About 5 percent will weigh more than 63 kg. d. About 2.5 percent will be below 45 kg. The marks on a statistics test are normally distributed with a mean of 62 and a variance of 225. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what mark is required to get a B or higher? а. 74.62 b. 71.53 c. 68.74 d. 69.52 The distribution of weights is a large group is approximately normally distributed. The mean is 80 kg. and approximately 68% of the weights are between 70 and 90 kg. What is the standard deviation of the distribution of weights? а. 20 b. 5 C. 10 d. 15 A recent news program reported that the presidential approval rate was 51% with a margin of error of t 4%. What is meant by + 4%? a. The proportion of Americans who approve the president is between 47% and 55%. b. Unless the true proportion of Americans who approve of the president is between 47% and 55%, it is unlikely we could have obtained from these sample results. c. The president's approval rating from those sampled was between 47% and 55%. d. 4% of the respondents were undecided. Which one of the following statements about a confidence interval is TRUE? a. The width of confidence interval is increased when the sample size is increased. b. Changes in the required level of confidence, 1-alpha, do not affect the width of the confidence interval. c. The wider the confidence interval, the least precise the estimate of the population parameter d. The width of confidence interval is increased when the sample size is decreased.
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