Chapter 8, Problem 13P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Researchers at a National Weather Center in the north-eastern United States recorded the number of 90° days each year since records first started in 1875. The numbers form a normal shaped distribution with a mean of
*n* = 4 years and obtained *M* = 11.85. Do the data indicate that the past four years have had significantly more 90° days than would be expected for a random sample from this population? Use a one-tailed test with

To determine

Whether the past four years have had significantly more
90 ° days than would be expected for a random sample from the population.

Explanation

**Given info:**

Samples mean (*M*) is 11.85, population mean is 9.6, standard deviation is 1.9, alpha level is 0.05 and sample size is 4.

**Calculation:**

The null hypothesis states that there is no effect of the treatment and alternative hypothesis states opposite of null hypothesis. As given in the question that population mean is 9.6 and one tailed test is used, so the null hypothesis and alternative hypothesis for this question are:

The alpha level is given in the question as 0.05 and need to find boundaries of the critical region. As given in the question that one tailed hypothesis test used, so the *z*-score critical value at
*z*-score from given data is calculated as:

Where

Sect-8.1 P-1LCSect-8.1 P-2LCSect-8.1 P-3LCSect-8.1 P-1LCASect-8.1 P-2LCASect-8.1 P-3LCASect-8.2 P-1LCSect-8.2 P-2LCSect-8.2 P-3LCSect-8.2 P-4LC

Sect-8.2 P-5LCSect-8.3 P-1LCSect-8.3 P-2LCSect-8.3 P-3LCSect-8.3 P-4LCSect-8.3 P-5LCSect-8.4 P-1LCSect-8.4 P-2LCSect-8.4 P-3LCSect-8.5 P-1LCSect-8.5 P-2LCSect-8.5 P-3LCSect-8.6 P-1LCSect-8.6 P-2LCSect-8.6 P-3LCSect-8.6 P-4LCCh-8 P-1PCh-8 P-2PCh-8 P-3PCh-8 P-4PCh-8 P-5PCh-8 P-6PCh-8 P-7PCh-8 P-8PCh-8 P-9PCh-8 P-10PCh-8 P-11PCh-8 P-12PCh-8 P-13PCh-8 P-14PCh-8 P-15PCh-8 P-16PCh-8 P-17PCh-8 P-18PCh-8 P-19PCh-8 P-20PCh-8 P-21PCh-8 P-1RECh-8 P-2RECh-8 P-3RE

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