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The average height of students in a freshman class of a certain school has been 158.55 cm with a population standard deviation of 8.8 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 51 students in the present freshman class has an average height of 154.25 cm? Use a 0.1 level of significance.
What are the given? Write only the number. :
population mean:Blank 1 cm
population standard deviation:Blank 2 cm
sample size:Blank 3
sample mean:Blank 4 cm
level of significance:Blank 5
What are the critical values? Write the positive critical value first then the negative.
z:Blank 6 andBlank 7
What is the value of the calculated z? Round your answer to the nearest hundredths.
z:Blank 8
"It is claimed that a car is driven on the average less than 28700 kilometers per year with a population standard deviation of 2100 kilometers. To test this claim, a random sample of 58 car owners are asked to keep a record of the kilometers they travelled. Would you agree with this claim if the random sample showed an average of 22500 kilometers? Use a 0.01 level of significance.
What are the given? Write only the number. :
population mean:Blank 1 km
population standard deviation:Blank 2 km
sample size:Blank 3
sample mean:Blank 4 km
level of significance:Blank 5
What is the critical value?
z:Blank 6
What is the value of the calculated z? Round your answer to the nearest hundredths.
z:Blank 7"
The average height of students in a freshman class of a certain school has been 158.55 cm with a population standard deviation of 8.8 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 51 students in the present freshman class has an average height of 154.25 cm? Use a 0.1 level of significance.
What are the given? Write only the number. :
population mean:Blank 1 cm
population standard deviation:Blank 2 cm
sample size:Blank 3
sample mean:Blank 4 cm
level of significance:Blank 5
What are the critical values? Write the positive critical value first then the negative.
z:Blank 6 andBlank 7
What is the value of the calculated z? Round your answer to the nearest hundredths.
z:Blank 8
A company has recognized the importance of advertisement in promoting sales. The following data show its monthly sales both before and after advertisement. The period for comparison is taken from January to December in two successive years. Can it be concluded that the advertisement of the company has resulted in a significant increase in its sales?
Month Sales before advertisement Sales after the the advertisement January 21 24
February 15 18
March 31 43
April 21 32
May 48 50
June 50 61
July 54 53
August 68 72
September 46 51
October 70 76
November 65 72
December 53 59
Mean (paired differences) = 5.75 and SD (paired differences) = 3.58
Given the population 1,3,4,6 and 8. Suppose samples of size 3 are drawn from this population.
How many different samples can be drawn from this population?
A fair spinner has 9 equal sections: 3 red, 2 blue and 4 green.
It is spun twice.
What is the probability of not getting two consecutive blues?
For a 95% confidence level, what are the critical values for a one-tailed test?
2. A researcher intends to estimate the effect of a drug on the scores of human subjects
performing a task of psychomotor coordination. The members of a random sample of 9
subjects were given the drug prior to testing. The mean score in this group was 9.78, and
the sample variance was 17.64. An independent random sample of 10 subjects was used as
a control group and given a placebo prior to testing. The mean score in this control group
was 15.10, and the sample variance was 27.01. Assuming that the population distributions
are normal with equal variances, find a 90% confidence interval for the difference between
the population mean scores.
According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
A psychologist is interested in investigating the proportion of depressed
teenagers in a particular city. Using a sample of 40 teenagers, 16 were found
to exhibit symptoms of depression. At a = 0.01, test the claim that more than
35% teenagers who live in the city are depressed.
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#340153 on Dec 2023