The accompanying data are drive-through service times (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at the restaurant's competitor have standard deviation sigmaσequals=64.464.4 sec, use a 0.010.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its competitor's restaurant. Use the accompanying data to identify the null hypothesis, alternative hypothesis, test statistic, and P-value. Then state a conclusion about the null hypothesis. LOADING... Click on the icon to view the data. Identify the null and alternative hypotheses. Choose the correct answer below. Service Times 168 103 128 333 110 98 325 156 197 112 221 103 114 106 166 121 105 173 166 197 144 172 93 125 174 314 328 125 78 101 161 133 192 64 155 271 187 119 296 285 267 81 214 63 189 125 105 141 152 106 138 A. Upper H 0 : sigma equals 64.4H0: σ=64.4 minutes Upper H Subscript Upper A Baseline : sigma less than 64.4HA: σ<64.4 minutes B. Upper H 0 : sigma less than 64.4H0: σ<64.4 minutes Upper H Subscript Upper A Baseline : sigma equals 64.4HA: σ=64.4 minutes C. Upper H 0 : sigma greater than or equals 64.4H0: σ≥64.4 minutes Upper H Subscript Upper A Baseline : sigma less than 64.4HA: σ<64.4 minutes D. Upper H 0 : sigma equals 64.4H0: σ=64.4 minutes Upper H Subscript Upper A Baseline : sigma not equals 64.4HA: σ≠64.4 minutes Your answer is correct. Compute the test statistic. chi squaredχ2equals=???? (Round to two decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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