Homework Answers
b) Crtical value = Z0.05 = 1.645
c) Mean of sampling distribution = 126
d) Standard error of the sampling distribution = 25 / sqrt(100) = 2.5
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The weight in pounds) for a population of school aged children is normally distributed with a...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 138 ± 24 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance. Part (a) What are the null and alternative hypotheses? H0: μ = 138 H1: μ ≠ 138 H0: μ ≤ 138 H1: μ > 138 H0: μ ≤...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 138 ± 16 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance. Part (a)What are the null and alternative hypotheses? H0: μ = 138 H1: μ ≠ 138H0: μ ≤ 138 H1: μ = 138 H0: μ = 138 H1: μ...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 133 ± 21 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance. a. What are the null and alternative hypotheses? b. What is the critical value for this test? c. What is the mean of the sampling distribution? d. What...
the weight in pounds for a population of school aged children is normally distributed with a...
the weight in pounds for a population of school aged children
is normally distributed with a mean equal to 127 +- 15. Suppose we
select a sample of 100 children n=100 to test whether children in
this population are gaining weight at 0.05 level of
significance
→ ○ 介 |e https://www. O He ps127 He 127 Part id O Type here to search
Suppose that the weight students gain in their first year of college is Normally distributed with...
Suppose that the weight students gain in their first year of college is Normally distributed with a mean of 10 pounds and a standard deviation of 2 pounds. (a) What is the probability that a randomly selected student will gain between 6 and 8 pounds? (b) Suppose we pick 5 students at random. What is the probability at least one will gain between 6 and 8 pounds? (c) If 30 students are randomly selected, what is the probability that the...
3. Suppose you are interested in determi Let X - weight (pounds) of a randomly selected...
3. Suppose you are interested in determi Let X - weight (pounds) of a randomly selected Cavalier King ds and population you know that X is normally population mean standard deviation ơ 0.8 pounds. ning the mean weight of Cavalier King Charles Spaniel dogs. y distributed with population mean μ = 16.5 pounds and population a. Completely specify the sampling distribution for a sample size of 4, i.e. show XN(H, ) What percentage of groups of 4 Cavalier King Charles...
The weight of people in a small town in Missouri is known to be normally distributed...
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 177 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,528 pounds or 18 persons.” What is the probability that a random sample of 18 persons will exceed the weight limit of 3,528 pounds? Use Table 1. (Round “z” value to 2 decimal places, and final answer...
1. Newborn weight. A study takes a SRS from a population of full-term infants. The standard...
1. Newborn weight. A study takes a SRS from a population of
full-term infants. The standard deviation of birth weights in this
population is 2 pounds. Calculate 95% confidence intervals for μ
for samples in which:
a) n = 81 and = 7.0 pounds
b) n = 9 and = 7.0 pounds
c) Which sample provides the most precise estimate of the mean
birth weight?
d) Interpret the CI you computed in part a).
2. P-value and confidence interval. A...
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest...
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual...
Student What is your height in inches? What is your weight in pounds? What is your...
Student What is your height in inches? What is your weight in pounds? What is your cumulative Grade Point Average (GPA) at FTCC or your primary college? How many hours do you sleep each night? 1 67 100 4 7 2 62 105 4 5 3 72 120 4 8 4 61 125 4 7 5 56 105 3.7 6 6 61 120 4 7 7 65 172 3.8 7 8 72 235 3.22 5 9 63 135 4 6...
the weight in pounds for a population of school aged children
is normally distributed with a mean equal to 127 +- 15. Suppose we
select a sample of 100 children n=100 to test whether children in
this population are gaining weight at 0.05 level of
significance
→ ○ 介 |e https://www. O He ps127 He 127 Part id O Type here to search
Suppose that the weight students gain in their first year of college is Normally distributed with a mean of 10 pounds and a standard deviation of 2 pounds. (a) What is the probability that a randomly selected student will gain between 6 and 8 pounds? (b) Suppose we pick 5 students at random. What is the probability at least one will gain between 6 and 8 pounds? (c) If 30 students are randomly selected, what is the probability that the...
3. Suppose you are interested in determi Let X - weight (pounds) of a randomly selected Cavalier King ds and population you know that X is normally population mean standard deviation ơ 0.8 pounds. ning the mean weight of Cavalier King Charles Spaniel dogs. y distributed with population mean μ = 16.5 pounds and population a. Completely specify the sampling distribution for a sample size of 4, i.e. show XN(H, ) What percentage of groups of 4 Cavalier King Charles...
1. Newborn weight. A study takes a SRS from a population of
full-term infants. The standard deviation of birth weights in this
population is 2 pounds. Calculate 95% confidence intervals for μ
for samples in which:
a) n = 81 and = 7.0 pounds
b) n = 9 and = 7.0 pounds
c) Which sample provides the most precise estimate of the mean
birth weight?
d) Interpret the CI you computed in part a).
2. P-value and confidence interval. A...
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