Question

# GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.45 mg of mercury....

GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.45 mg of mercury. A sample of 55 bulbs shows a mean of 3.57 mg of mercury.

(a) State the hypotheses for a right-tailed test, using GreenBeam’s claim as the null hypothesis about the mean.

1. H0: μ ≤ 3.45 mg vs. H1: μ > 3.45 mg

(b) Assuming a known standard deviation of 0.26 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places.)

Test statistic =

(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)

p-value =

P=0.0003

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### A bulb manufacturer claims that its compact fluorescent bulbs have an average of less than 3.5...

A bulb manufacturer claims that its compact fluorescent bulbs have an average of less than 3.5 mg of mercury. A sample of 25 bulbs showed a mean of 3.39 mg of mercury. The population standard deviation is 0.18 mg. Using α = 0.1, does the sample support the manufacturer’s claim? (use both methods)

• ### "Tarzan lights, Inc" claims that its compact fluorescent bulbs average no more than 3.50 mg of...

"Tarzan lights, Inc" claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. As the company's statistician, you are worried that the lot may be defective for having too much mercury. Assume a known population standard deviation of 0.18, the population has a normal distribution, and a = .01. What kind of test should be done here? Seleccione una: O a. one tailed...

• ### "Tarzan lights, Inc" claims that its compact fluorescent bulbs average no more than 3.50 mg of...

"Tarzan lights, Inc" claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. As the company's statistician, you are worried that the lot may be defective for having too much mercury. Assume a known population standard deviation of 0.18, the population has a normal distribution, and a = .01. What kind of test should be done here? Seleccione una: O a. binomial test...

• ### The mean potassium content of a popular sports drink is listed as 148 mg in a...

The mean potassium content of a popular sports drink is listed as 148 mg in a 32-oz bottle. Analysis of 40 bottles indicates a sample mean of 147.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. H0: μ = 148 mg vs. H1: μ ≠ 148 mg H0: μ ≤ 148 mg vs. H1: μ > 148 mg H0: μ ≥ 148 mg vs. H1: μ < 148 mg a b c (b) Assuming...

• ### The sodium content of a popular sports drink is listed as 235 mg in a 32-oz...

The sodium content of a popular sports drink is listed as 235 mg in a 32-oz bottle. Analysis of 19 bottles indicates a sample mean of 241.4 mg with a sample standard deviation of 24.3 mg.    (a) State the hypotheses for a two-tailed test of the claimed sodium content.    a. H0: μ ≥ 235 vs. H1: μ < 235 b. H0: μ ≤ 235 vs. H1: μ > 235 c. H0: μ = 235 vs. H1: μ ≠...

• ### Stats Hw- Please Help 3. A company that manufactures compact fluorescent light bulbs (CFL) claims that...

Stats Hw- Please Help 3. A company that manufactures compact fluorescent light bulbs (CFL) claims that they will operate for a mean of 10,000 hours with a level of significance equal to 0.05. An engineer from the company performs a test to validate this claim. The hypotheses are: Null hypothesis: μ = 10,000 hours Alternate hypothesis: μ ≠ 10,000 hours The engineer does accelerated lifetime testing on 50 of these bulbs and finds that the mean lifetime is 9875 hours...

• ### General Instructions: Any hypothesis test should have five parts as illustrated in the examples in your...

General Instructions: Any hypothesis test should have five parts as illustrated in the examples in your textbook. Clearly identify each part. 1. GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. Historical data reveal a standard deviation of 0.18 mg, based upon years of production records. A random sample of 24 bulbs has a mean of 3.62 mg of mercury. If we give the benefit of the doubt to GreenBeam: (a) test whether...

• ### A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than...

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 manufacturing company claims that its new designed batteries last at least sixty hours on average...

A manufacturing company claims that its new designed batteries last at least sixty hours on average in any smart phone which is currently on the market. Tests on a random sample of 18 batteries from a day's large production run showed a mean battery life of 57.8 hours with a standard deviation of 5.4 hours. Assume that the mean battery life is normally distributed. Step 1 of 5: The appropriate set of hypotheses to be used to test the manufacturer's...

• ### A manufacturer claims that the mean lifetime, H, of its light bulbs is 48 months. The...

A manufacturer claims that the mean lifetime, H, of its light bulbs is 48 months. The standard deviation of these lifetimes is 6 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 49 months. Can we conclude, at the 0.1 level.of signficance, that the mean lifetime of light bulbs made by this manufacturer differs from 48 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least...