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Question 1


link: https://ibb.co/0cyngNf

What is doubling the cube means?


If the confidence interval is given as 90%, 93%, 96% and 98%. Find the value of z. Round the answer to the two decimal places.


A normal population has a mean of 50 and standard distribution of 10. Selecting 16 sample compute probability of sample mean



a) greater than 60



b) less than 45



c) between 45 and 60

A populations consists of the following five values: 2, 3, 5, 7, 10.

List all possible sample of size 3.


samples of three cards are drawn at random from a population of six cards numbered from 1 to 6. Construct the sampling Distribution of Sample means.


APPLICATION:





an experimental study was conducted by a researcher to





determine if a new time slot has an effect on the performance





of pupils in mathematics. Fifteen randomly selected learners





participated in the study. Toward the end of the investigation, a





standardized assessment was conducted. The sample mean x̄= 75 and s=5. In standardization of the test, the mean was





65 and standard deviation was 8. Based on the evidence at





hand, is the new time slot effective? Use α = 0.05.




In a certain food stall, 278 out of 500 randomly selected consumers to indicate their preference for a new kind of food combination. Use a 99% confidence interval to estimate the true proportion ρ who like the new food combination.


Test the hypotheses, given p=0.42, p is not equal to 0.42, sample size=150, sample proportion=0.45, alpha =0.05


The combustion of ethane proceeds according to equation 2C2H6 + 7O2 → 4CO2 + 6H2O. The enthalpy change for combustion of 1 mol of this hydrocarbon equals –1600.0 kJ/mol. Use the following from Hess's law and calculate the enthalpy of formation of 1 mol of ethane, if ΔHf (CO2) = −393.5 kJ/mol, ΔHf (H2O) = −241.8 kJ/mol, ΔHf (O2) = 0.


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