Numerade

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Federico Castro

Numerade educator

Heights in centimeters (x) and weights in kilograms (y) of n=9 supermodels were randomly selected and the value of the summary quantities are given as: ∑x=1224,∑y=370,∑x2=209929,∑y2=19894,∑xy=64529 Fit a regression line y^=β^0+β^1x, where weight is the dependent variable and height is the independent variable. Give your answers to two decimal places. Note: Use the value of β^1 to two decimal places to find β^0. y^= Answer + Answer x What is the predicted weight of a supermodel who is 175cm tall? Give your answer to two decimal places. Answer

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Federico Castro

Numerade educator

We consider the sleep habits of medical students and non-medical students. The study consists of the hours of sleep per day obtained from n1=31 medical students and n2=33 non-medical students. The mean hours of sleep per day of medical students is X1¯=5 and the standard deviation is S1=0.72. The mean hours of sleep per day of non-medical students is X2¯=6.7 and the standard deviation is S2=1.62. Test the claim that the mean hours of sleep for medical and non-medical students is different. Use a α=0.01 significance level. What is the negative critical region? Give your answer to three decimal places. z < Answer What is the positive critical region? Give your answer to three decimal places. z > Answer What is the test statistic? Give your answer to two decimal places. z = Answer Do we reject or fail to reject the null hypothesis? Reject H0 Fail to reject H0

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ANSWERED

Paul A.

Numerade educator

a. A contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots are on one side of the street and 3 lots are on the opposite side?

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Dr Harish Viswanathan

Numerade educator

An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 80% of the ELTs, Company B makes 15% of them and Company C makes the other 5%. The ELTs made by Company A have a 3.2% rate of defects, the Company B ELTs have a 5.1% rate of defects and the Company C ELTs have 6.5% rate of defects. If a randomly selected ELT is tested and found to be defective, find is the probability that it was made by Company A?

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Liliane Martins

Numerade educator

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 116 students in the school. There are 40 in the Spanish class, 30 in the French class, and 26 in the German class. There are 17 students that in both Spanish and French, 8 are in both Spanish and German, and 7 are in both French and German. In addition, there are 4 students taking all three classes. If one student is chosen randomly, what is the probability that he or she is taking at least one language class?

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ANSWERED

Liliane Martins

Numerade educator

Let A and B be two events. Given P(A)=0.65, P(B|A)=0.56 and P(B|A′)=0.78, find the following probabilities to three decimal places

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INSTANT ANSWER

Two cards are drawn without replacement from a standard 52-card playing deck. What is the probability of drawing a red face card and then a numbered card of any suit? Consider the face cards to be Jack, Queen, King and Ace.

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Jay U.