Question

1. Suppose the amount of money UCLA students spend on movies during a one month period observes normal distribution. A sample is taken containing monthly movie spending in dollars for several UCLA students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and 53.46. Round your numbers to two decimal places. All the calculation should be preceded with the formula used. a. Calculate the sample mean, sample standard deviation, and standard error.

Answer #1

1. Sample mean is

Create the following table.

data | data-mean | (data - mean)^{2} |

66.72 | 11.0575 | 122.26830625 |

50.23 | -5.4325 | 29.51205625 |

40.57 | -15.0925 | 227.78355625 |

45.53 | -10.1325 | 102.66755625 |

60.45 | 4.7875 | 22.92015625 |

70.85 | 15.1875 | 230.66015625 |

57.49 | 1.8275 | 3.33975625 |

53.46 | -2.2025 | 4.85100625 |

Find the sum of numbers in the last column to get.

So standard deviation is

Standard error is

1. Suppose the amount of money UCLA students spend on movies
during a one month period observes normal distribution. A sample is
taken containing monthly movie spending in dollars for several UCLA
students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and
53.46. Round your numbers to two decimal places. All the
calculation should be preceded with the formula used.
b. Estimate the average monthly movie spending by all UCLA
students with a 95% confidence interval.

1. Suppose the amount of money UCLA students spend on movies
during a one month period observes normal distribution. A sample is
taken containing monthly movie spending in dollars for several UCLA
students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and
53.46. Round your numbers to two decimal places. All the
calculation should be preceded with the formula used.
c. From this sample, can we conclude that the average monthly
movie spending by UCLA students is lower than 63.45...

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