testing a cliam about a population proportion
386 randomly selected light bulbs were tested in a laboratory. 97 lasted more than 500 hours. Please find the point estimate of the proportion of all light bulbs that lasted more than 500 hours.
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1. Use the given degree of confidence and sample data to construct a confidence interval for...
1. Use the given degree of confidence and sample data to construct a confidence interval for the point) population proportion p. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. 0 0.438<p0.505 0 0.444 p0.500 0 0.435<p<0.508 O 0.471 p0.472 2. Use the given data to find the minimum sample size required...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information answer the following questions. (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 58 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 51 hours or less? (c) What proportion of light bulbs will last between 59 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 52 hours or less? (c) What proportion of light bulbs will last between 57 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts...
Can anyone help? Suppose that the lifetimes of light bulbs are approximately normally distributed, with a...
Can anyone help? Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.2 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 59 and 62 hours? (d) What is the probability that a...
A supplier has agreed to provide the manager of a large office complex with lightbulbs that...
A supplier has agreed to provide the manager of a large office complex with lightbulbs that he claims will last more than 1,000 hours. Twenty bulbs are randomly selected and tested by the office complex's maintenance department. Describe the Type I error that can be made in relation to this context of the number of hours the bulb lasted if testing this claim through a formal hypothesis test on collected sample data.
GRADED PROBLEM SET #6 Answer each of the following questions completely. There are a total of...
GRADED PROBLEM SET #6 Answer each of the following questions completely. There are a total of 20 points possible in the assignment. A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours. What is the probability that a randomly chosen light bulb lasts more than 10,500 hours? What is the probability that the mean lifespan of...
8. A manufacturing company of light bulb claims that an average light bulb lasts 500 days....
8. A manufacturing company of light bulb claims that an average light bulb lasts 500 days. A contractor randomly selects 30 bulbs for testing. The sampled bulbs last an average of 490 days, with a standard deviation of 100 days. If the claim were true, what is the probability that 30 randomly selected bulbs would have an average life of no more than 490 days? [10]
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life....
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life....
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...
1. Use the given degree of confidence and sample data to construct a confidence interval for the point) population proportion p. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. 0 0.438<p0.505 0 0.444 p0.500 0 0.435<p<0.508 O 0.471 p0.472 2. Use the given data to find the minimum sample size required...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information answer the following questions. (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 58 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 51 hours or less? (c) What proportion of light bulbs will last between 59 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 52 hours or less? (c) What proportion of light bulbs will last between 57 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts...
8. A manufacturing company of light bulb claims that an average light bulb lasts 500 days. A contractor randomly selects 30 bulbs for testing. The sampled bulbs last an average of 490 days, with a standard deviation of 100 days. If the claim were true, what is the probability that 30 randomly selected bulbs would have an average life of no more than 490 days? [10]
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...
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