Find the critical value z that corresponds to the given confidence level of 90%. Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n = 4500, x = 2925, 90% confidence.

Binding percentages for five antibiotics tested : Results are comparable to what could be expected in human serum. Are true binding percentages for five antibiotics tested all equal? Let α = 0.05. |

Josephs income increase to compensate : Elucidate how much should Joseph's income increase to compensate for the rise in the prices of roses. |

Implementing the program : Write down the program which will enable a teacher to calculate the percentage and the final grade for the students in a class. |

Find how many ways are there of winning the world series : Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game? |

Finding critical z value : Find the critical value z that corresponds to the given confidence level of 90%. |

Creating joint probability table : Create probability tree showing all marginal, conditional, and joint probabilities. Create a joint probability table. |

Finding percentage and final grade of students : You have been asked to develop a program which will enable a teacher to determine the percentage and the final grade for students in the class. |

Calculating mean-median and interquartile range : For each set of data, calculate mean, median, mode, range, interquartile range, standard deviation, and coefficient of variation. |

Test the claim of a cereal lobbyist : Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than 0.3g. |

## What is the probability that the personConditional and compound probabilities.The table below gives the distribution of blood types by gender in a group of 1000 individuals. |

## Forecasted value using exponential smoothing methodUse simple exponential smoothing with α = 0.33 to forecast battery sales for February through May. Assume that the forecast for January was for 22 set of tires. |

## Normally curved distributionAssume that the following four examines were tested as part of a large group that had a normally curved distribution. |

## The mean return for a random sampleThe mean return for a random sample of 33 mutual funds is 14.93 percent with a standard deviation of 9.57. Build a 95 percent confidence interval for mu, population mean. |

## Hypothesis test for one population meanReport the t-value, whether you accept or reject Ho, and whether the difference was significant in a brief sentence. |

## Completely randomized experiment and observational studyThey are thinking of introducing a new flavour, maple-marshmallow Frumpies, and want to know whether children will prefer the new flavour to the old one. Design a completely randomized experiment to investigate this question. |

## Hypothesis testing for proportion in dependent samplesWhich test do we use to see if the difference in our sample is statistically significant? Why? Should it be one or two-tailed? |

## Determine expected value and variancecompute the expected value and variance of U.Determine Expected value and variance using uniform distribution. |

## Mean-standard deviation and z scoreStanford Binet IQ scores have a mean of 100 and a standard deviation of 15. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. |

## Expected returns and portfolio varianceWhat happens to the expected return and standard deviation of returns of the portfolio in Part a if the following conditions exist? |

## Possibility of subcommitteesIf they must form an ethics subcommittee of 4 members, how many different subcommittees are possible? |

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