A new type of light bulb may have a mean lifetime of 15
(thousand hours), the current mean being 10.8035. This claim could
be verified by testing H0:
= 10.8035, vs. H1:
10.8035. If one were to make use of the critical region being
specified by
14,
and
1 = 16.01.
What is the value of
?
A new type of light bulb may have a mean lifetime of 15 (thousand hours), the...
An electrical firm manufactures a certain type of LED light bulb and claims that the average bulb lifetime is at least 800 hours. To test this, a random sample of 60 bulbs is taken. The average life of the sample is found to be 788 hours with a standard deviation of 40 hours.(a) At a level of 0.05 significance, is there compelling evidence to doubt the comp any's claim? Be sure to state the appropriate hypotheses, and specify the rejection...
The lifetime of a particular type of light bulb are approximately normally distributed with a mean of 1200 hours and a standard deviation of 140 hours. At what number of hours should the warranty lifetime be set so that only 2% of bulbs must be replaced under warranty?
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 753 hours. A random sample of 20 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At α=0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ<732 (claim) Ha: μ≥732...
A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05a. State the null and alternative hypotheses.b. State the Type I and Type II errors.c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?d. Find the p-value.e. Construct a 95% confidence interval for...
4) The lifetime in hours) of a certain type of light bulb is approximately normal with a mean of 1,000 hours and a standard deviation of 70 hours. What is the probability that the bulb will last between 1050 and 1150 hours? Assume normal distribution. Solve the problem in two (2) completely different ways * 1 way using normal table and 1 way NOT using normal table. (9 marks)
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 743 hours. A random sample of 21 light bulbs has a mean life of 717 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e) (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: $717...
A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than 5500hours. To test this claim, a statistician took a random sample of 90 bulbs and measured the amount of time until each bulb burned out. The mean lifetime of the sample of bulbs is 5551 hours and has a standard deviation of 420 hours. Can we conclude with 99% confidence that the claim is true? Fill in the requested information below. (a) The value...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 753 hours. A random sample of 20 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At a =0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (o). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: < 732...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 775 hours. A random sample of 23 light bulbs has a mean life of 763 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At alpha equals 0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (b) through (d) (b) Identify the critical value(s). Use technology. (c) Identify the standardized test...
Suppose the manufacturer claims that the mean lifetime of a light bulb is more than 10,000 hours. In a sample of 30 light bulbs, it was found that they only last 9,900 hours on average. Assume the population standard deviation is 120 hours. At 0.05 significance level, can we reject the claim by the manufacturer? Select one: a. We reject the claim b. We accept the claim