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The quality of the drinking water must be monitored as often as possible. One variable of concern is




the pH level, which measures the alkalinity or acidity of the water. A pH below 7.0 is acidic while a pH




above 7.0 is alkaline. A pH of 7.0 is neutral. A water-treatment plant is targeting higher than 8.0 pH. Based




on 16 random water samples, the mean and standard deviation were found to be: 𝑋 ̅=7.6 and s = 0.4. Test




the claim using 5%







Step




1 Describe the population parameter of interest




2 Formulate the null and alternative hypothesis




3 Check the assumptions




4 Choose a signifinance level size for α




5 Select the appropriate test statistic




Compute the test statistic using the appropriate formula




6 State the decision rule for rejecting or not the null hypothesis




7 Compare the computed test statistic and the critical value /s

  1. Given the population 2,4,6 and 8. Suppose samples of size 3 are drawn from this population.


a. Determine the number of possible samples of size n that can be drawn from a given population of size n.


A group of 8 students in your class having the weight of 50, 52, 53, 54, 56, 57, 58, and 60.

1.Calculate the standard deviation of the sampling distribution of the sample means. Compare this to the standard deviation of the population. 


How many moles of ethanol is produced if you start with 8.74 g of glucose


The half life of iridium is 12.8 years. Calculate decay constant and average life in minutes


A tree if less than three feet high and when transplanted has a 40% chance of survival. If six such trees are transplanted, what is the probability that at most four five will not survive?


f(t)= 1+0.12t, compute f(t) if t=2.


A 3.00 g sample of TNT (trinitrotoluene, C7H5N3O6) is placed 

in a bomb calorimeter with a heat capacity of 1.93 kJ/°C; the 

ΔHcomb of TNT is −3403.5 kJ/mol. If the initial temperature of 

the calorimeter is 19.8°C, what will be the final temperature of 

the calorimeter after the combustion reaction (assuming no heat 

is lost to the surroundings)


A job placement director claims that the average starting salary for nurses is P12,000. A sample of 10 nurses has a mean of P11,750 and a standard deviation of 200. Is there enough evidence to reject the director’s claim at alpha = 0.05

Calculate for the specific heat of 28.0 g of of mercury (Hg)

when 137 J of energy is involved when raised at an initial

temperature of 22.0°C to a final temperature of 57. 0C.


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