In April 2025
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assume that the population standard deviation of item 1 is unknown and the sample size is less than 30?
a.compute the t score for a sample mean of 380
SOLVE THE FOLLOWING:
1. A random variable X has this probability distribution:
x 0 1 2 3 4 5
P(X=x) 0.1 0.2 0.05 0.1 ? 0.3
Identify a product available in your home. Measure the weight (g) or length (cm) of at least 10 pieces of that chosen product. Then, test the hypothesis that the product is equal to its claimed weight or length. Example: The claimed weight of Lucky Me Pancit Canton is 200 g. Use the 5 steps of hypothesis testing with 5% significance level
A population consists of the values (1, 3, 4). If the samples of size 2 will be drawn from the population, find the standard deviation of the sampling distribution of the means
A population consists of the values (1, 3, 4). If the samples of size 2 will be drawn from the population, find the variance of the sampling distribution of the means.
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams. I this in line with the manufacturer’s claim that the average nicotine does not exceed 3.5 milligrams?
Your answer
7. A taxi company is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Given the a number of samples, can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires?
Your answer
8. At a certain college it is estimated that fewer than 25% of the students have cars on campus.
Your answer
9. The proportion of men in the population afflicted with this blood disorder is significantly greater than the proportion of the women afflicted.
Your answer
10. A study is made to determine if a cold climate contributes more to absenteeism from school during a semester than a warmer climate.
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams. I this in line with the manufacturer’s claim that the average nicotine does not exceed 3.5 milligrams?
Your answer
7. A taxi company is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Given the a number of samples, can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires?
Your answer
8. At a certain college it is estimated that fewer than 25% of the students have cars on campus.
Your answer
9. The proportion of men in the population afflicted with this blood disorder is significantly greater than the proportion of the women afflicted.
Your answer
10. A study is made to determine if a cold climate contributes more to absenteeism from school during a semester than a warmer climate.
Given the population 1,3,4,6 and 8.Suppose sample of size 3 drawn from this population
Consider a population consisting of 2, 4, 6, 8, and 10.
1. Compute the mean and standard deviation of the population.
2. List all samples of size n=2 and compute the mean in each sample.
3. Construct the sampling distribution of the sample means.
4. Calculate the mean of the sampling distribution of the sample means.
5. Calculate the Standard Deviation of the sampling distribution of the sample means.
Consider a population consisting of 3, 6, 7, 9, 10, 4, and 8. Suppose samples of size 2 are drawn from this population. Describe the sampling distribution of sample means. What is the population mean?
