A manufacturer of fluorescent bulbs claims that mean life of fluorescent bulb is 400 hours. a sample of 35 fluorescent bulbs was taken and it showed a mean of 399 hours with a standard deviation of 1.1 hours, is the mean life different from 400 hours? use the 0.05 significance level.
English teacher wants to test whether the mean reading speed of students is 550 words per minute. A sample of 12 students revealed a sample mean of 540 word per minute with a standard deviation of 5 words per minute. At the 0.05 significance level, is the reading speed from 550 words per minute?
In the label, it is written that a light bulb has a mean life of 360 and with a standard deviation of 90 hours. To test the claim, 60 light bulbs were tested and showed a mean life of 354. At the 0.05 significance level, can we say that mean life is different from 360?
Bamboo craft shop is engaged in making sofa sets made from indigenous materials and exported to other countries. Records show that the weekly production of sofa set follows a normal distribution with a mean of 20 and a standard deviation of 2. The shop owner had undergone series of seminars and after undergoing such seminars, she introduces new methods and techniques in the procedure of sofa making and increased the number of her workers. During, the last 52 weeks, she observed a weekly production of 23 sofa sets. At the 0.05 significance level, can the shop owner conclude that there is a change in the weekly production of sofa set?
A survey was conducted to estimate the difference in salaries of university professors in the private sector and government sector of Rawalpindi. A random survey of 100 professors in private universities showed an average 9 month salary of 26000$ with standard deviation of 1300$. A random sample of 200 professors in government universities showed an average salary of 26,900$ with a standard deviation of 1400$. Test the hypothesis that the average salary for professors teaching in government universities does not exceed the average salary for professors teaching in private universities by no more than 500$. Use a 0.05 level of significance
If the letters of the word PROBLEM are arranged at random without repetition, find
the probability that there will be five letters between O and E.
How toDraw all the possible sample of size 4 of seven random numbers between 0-9 with without replacement method.
In a survey of 500 infants chosen at random, it is found that 240 are girls. Are boy and girl births equally likely according to this survey (use α = 0.05)
Tossing Four Coins Four coins are tossed. Let H be the random variable representing the number of the heads occur. Find the values and construct the probability distribution of the random variable H