A manufacturer claims his light bulbs have a mean life of 1500 hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 1500 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 220 bulbs and found them to have a sample mean life of 1490 hours and a sample standard deviation of 40 hours. Assess the manufacturer's claim.
a) What is the null hypothesis?
μ = 1500
x̄ = 1500
x̄ < 1500
μ > 1500
b) What is the alternative hypothesis?
μ > 1500
x̄ < 1500
x̄ > 1500
μ < 1500
c) Give the value of the test statistic, to two places past the
decimal point. b) What is the alternative hypothesis?
μ > 1500
x̄ < 1500
x̄ > 1500
μ < 1500
d) What is the significance probability or P value. Choose the
appropriate range.
P > .10
.05 < P ≤ . 10
.01 < P ≤ .05
P ≤ .01
e) Are the results statistically significant at the .05 level of
significance?
Yes
No
Homework Answers
a) μ = 1500
b) μ < 1500
c)test statistic =(1490-1500)*sqrt(220)/40= -3.708
d) P ≤ .01
e)Yes
Add Answer to:
A manufacturer claims his light bulbs have a mean life of 1500
hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 2000 hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 2000 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 210 bulbs and found them to have a sample mean life of 1980 hours and a sample standard deviation of 50 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Ou = 2000 O x = 2000 Ox< 2000 Ou...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 230 bulbs and found them to have a sample mean life of 1790 hours and a sample standard deviation of 50 hours. Assess the manufacturer's claim. a) What is the null hypothesis? 正确:D=1800 错误x = 1800 错误x<1800 错误p> 1800 正确答案! 以前的尝试 您的证明编号是153-43332...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 270 bulbs and found them to have a sample mean life of 1790 hours and a sample standard deviation of 60 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Correct: y = 1800 Incorrect x = 1800 Incorrect x...
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner...
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.05.
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=0.05
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...
A manufacturer claims that the mean lifetime, it, of its light bulbs is 44 months. The...
A manufacturer claims that the mean lifetime, it, of its light bulbs is 44 months. The standard deviation of these lifetimes is 5 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 45 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 44 months? Perform a two-tailed test. Then fill in the table below Carry your intermediate computations to at...
A popular brand of light bulb is advertised as having a mean life of 1500 hours....
A popular brand of light bulb is advertised as having a mean life of 1500 hours. A sample of 40 of these bulbs provides an average life of 1428.3 hours. The researcher is interested in finding evidence at the .01 level that the mean life is lower than adverstised. Assume that the population standard deviation is 250 hours. Which of the following hypotheses correct expresses the question of interest? H0: p=0.9, HA: p≠0.9 H0: μ≥1500, HA: μ<1500 H0: μ ≤1500,...
Use R 1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You...
Use R
1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You sample 50 light bulbs and you find that the sample average light bulb lifetime duration is 955 hours. Assume that you know the population standard deviation, and that it is 220 hours. That is n 50、 x"= 955, σ = 220 Test the null hypothesis Ho: μ-1,000 against the alternative hypothesis Ha: μ < 1,000 at the 0.05 significance level a. Calculate the critical...
A manufacturer claims that the mean lifetime, u, of its light bulbs is 52 months. The...
A manufacturer claims that the mean lifetime, u, of its light bulbs is 52 months. The standard deviation of these lifetimes is 6 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 50 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 52 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at...
imited A manufacturer claims that the mean lifetime, H, of its light bulbs is 52 months....
imited A manufacturer claims that the mean lifetime, H, of its light bulbs is 52 months. The standard deviation of these lifetimes is 6 months. Nine bulbs are selected at random, and their mean lifetime is found to be 51 months. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 52 months? Perform a two-tailed test. Then fill in the...
A manufacturer claims his light bulbs have a mean life of 2000 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 210 bulbs and found them to have a sample mean life of 1980 hours and a sample standard deviation of 50 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Ou = 2000 O x = 2000 Ox< 2000 Ou...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 230 bulbs and found them to have a sample mean life of 1790 hours and a sample standard deviation of 50 hours. Assess the manufacturer's claim. a) What is the null hypothesis? 正确:D=1800 错误x = 1800 错误x<1800 错误p> 1800 正确答案! 以前的尝试 您的证明编号是153-43332...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 270 bulbs and found them to have a sample mean life of 1790 hours and a sample standard deviation of 60 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Correct: y = 1800 Incorrect x = 1800 Incorrect x...
A manufacturer claims that the mean lifetime, it, of its light bulbs is 44 months. The standard deviation of these lifetimes is 5 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 45 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 44 months? Perform a two-tailed test. Then fill in the table below Carry your intermediate computations to at...
Use R
1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You sample 50 light bulbs and you find that the sample average light bulb lifetime duration is 955 hours. Assume that you know the population standard deviation, and that it is 220 hours. That is n 50、 x"= 955, σ = 220 Test the null hypothesis Ho: μ-1,000 against the alternative hypothesis Ha: μ < 1,000 at the 0.05 significance level a. Calculate the critical...
A manufacturer claims that the mean lifetime, u, of its light bulbs is 52 months. The standard deviation of these lifetimes is 6 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 50 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 52 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at...
imited A manufacturer claims that the mean lifetime, H, of its light bulbs is 52 months. The standard deviation of these lifetimes is 6 months. Nine bulbs are selected at random, and their mean lifetime is found to be 51 months. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 52 months? Perform a two-tailed test. Then fill in the...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago