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Conduct a study taking cricket players. Captain is interested to select the players on the basis of past 10 matches. Use one Way Anova, justify that there are performance difference among the players. Sample size should be 3 to 4 players. Use tables
Out of 8000 graduates in a town; 800 are females and out of 1600 graduates employees 120 are females use X2 to determine if any destination made in appoinment in the basic sex. Ch square value table 3.84
A number of particular articles have been classified according to their weights.
After drying for two weeks, the same articles have again been weighed and
similarly classified. It is known that the median weight in the first weighing
was 20.83 gm while in the second weighing it was 17.35 gm. Some
frequencies a and b in the first weighing and x and y in the second are missing.
It is known that a = 1/3x and b = 1/2 y. Find out the values of the missing
frequencies.
Question 2
The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:
48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6
(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.
(4 marks)
(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.
(8 marks)
Question 1
In an investigation into ownership of laptops among school students, 200 randomly chosen studens were interviewed. It is found that 140 of them owned a laptop.
(a) Find the 99% confidence interval for the proportion of all school students owning a laptop.
(5 marks)
(b) Test, at 5% level of significance, whether the proportion of school students owning a laptop is less than 75%.
(8 marks)
A project yields an average cash-flow of Rs. 400 lakh with a standard deviation of Rs. 60 lakh. Calculate the following probabilities: (i) Cash flow will be more than Rs. 550 lakh (ii) Cash flow will be between Rs. 450 lakh and Rs. 520 lakh.
Suppose your adviser assigned you to collect data about your classmates’
weight because she will be planning to give each a bottle of Vitamin C. Since your
community is under the General Community Quarantine because of the pandemic,
you need to contact your 20 classmates through text or chat them to get their weight
and write it on the table below.
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with a 90% confidence?
A, both cards will be orange
B, both cards will be black
C, the first card will be orange and the second will be black
D, neither will be orange
2. A box has 3 netball and 6 volleyball cards. What is the probability of selecting...
A, a netball card, keeping it out, and then selecting another netball card?
B, a netball card, keeping it out, and then selecting a volleyball card?
#333702 on Dec 2022