Question

A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 9.7, 9.1, 9.2, and 9.3 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. Part A: Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice. A. We are 95% confident that the sample mean is ___ and ___. B. We are 95% confident the population mean is between ___ and ___. C. There is a 95% chance that all intervals will be between ___ and ___. D. The requirements for constructing a confidence interval are not satisfied.

Answer #1

s.no |
x |
(x- x bar)^2 |

1 | 9.7 | 0.140625 |

2 | 9.1 | 0.050625 |

3 | 9.2 | 0.015625 |

4 | 9.3 | 0.000625 |

sum |
37.3 |
0.2075 |

Mean |
9.325 |

B. We are95% confident the population mean is between 8.9065 and 9.7435.

B. We are95% confident the population mean is between __8.91_ and _9.74__.

A statistics instructor randomly selected four bags of oranges,
each bag labeled 10 pounds, and weighed the bags. They weighed
10.3, 10.2, 10.3, and 10.4 pounds.
Assume that the distribution of weights is Normal. Find a 95%
confidence interval for the mean weight of all bags of oranges. Use
technology for your calculations.
a. Choose the correct interpretation of the
confidence interval. Is the answer A,B,C or D and the 2
numbers.
A.We are 95% confident that the sample mean...

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(___ , ____)
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A pumpkin farmer weighed a simple random sample of size n = 20
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reasonable to assume that the population distribution is normal?
Explain your answer.
(b) Regardless of your answer to (a), use R to perform the
bootstrap with 2000 resamplings to...

Could you please solve these using r code.
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statistic; statistic
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