Statistics and Probability Answers

The United States Department of Agriculture reports that, under its standard inspection system one in every 100 slaughtered chickens passes inspection for faecal contamination. Find the probability that, in a random sample of 6 slaughtered chickens, at least one passes inspection for faecal inspection.

1.     The results of a particular examination are shown below in summary form:

Result

Percentage of candidates

Passed with distinction

15

Passed without distinction

42

Failed

43

Total

100

It is known that a candidate gets failed if he obtains less than 40 marks (out of 100), while he must obtain at least 75 marks in order to pass with distinction. Hence determine the mean and standard deviation of the distribution of the marks, assuming it is of normal type.

A quality control want to estimate the proportion of high quality goods out of a batch of products with a 90% confidence level and a margin of error of 5%. How may products must he tes

1. The average time spent of STEM students in answering their module is 5 hours daily. Illustrate the null and alternative hypotheses. Express your answer in symbols.

2. Mrs. Serrano the canteen manager in PSNHS claims that the average capacity of their bottled water is 350ml. Identify the null and alternative hypotheses if the HUMSS students calculated the capacity of each bottle and found out the contents to be 340ml from a sample of 50 bottled water. Write your answer in symbols.

3. The average age of teachers in PSNHS is 36. The mean age of 26 sample SHS teachers is 35 with a standard deviation of 3 years. Illustrate the table Ho - Ha, below to illustrate hypotheses.

4. The average net pay of PSNHS personnel is Php 10,000. Identify the parameter and its exact value to be tested.

I need answers for all these questions please help me

The mean spent time by each teacher in online classes is 60 minutes.Determine the parameter to be tested and its exact value.

Find the area under the normal curve. Draw the illustration.

Between z= –2.38 and z= 1.42

Find the area under the normal curve. Draw the illustration.

z= 1.35

between z=0.35 and z= 2.46

Find the area under the normal curve. Draw the illustration.

z=–2.37

Find the area under the normal curve. Draw the illustration

z=1.03

A nationwide survey found out that the average time that college students spent on their personal computer is 10.5 hours per week. A random sample of 28 college students showed that they spent 8.5 hours per week using their computers with a standard deviation of 1.2 hours. Test whether the average number of hours spent by the 28 college students is significantly lower than the national average of 10.5 hours. Use a level of significance of 5%