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A regulation softball should weigh 188 grams A company produces softballs for the NPF To help ensure a high degree softballs is drawn from the production line every 30 minutes and each softball is measured for accuracy If accuracy a random sample of 24 the average weight of the sample is found to be significantly different than 188 grams then the production l ne is shut down for inspection The mean weight of a recent sample of 24 softballs was found to be 176 85 grams Use the p value method to test the hypothesis that the mean weight of a softball produced by this company is different than 188 grams using a significance level of 5 Assume that the distribution of weights of all softballs produced by this company is known to be approximately normally distributed with a standard deviation of 24 3 grams State the null and alternative hypothesis for this test Ho V H 2 V Determine if this test is left tailed right tailed or two tailed Oright tailed Otwo tailed Oleft tailed Should the standard normal z distribution or Student s t distribution be used for this test The standard normal z distribution should be used The Student s t distribution should be used Determine the test statistic for the hypothesis test Round the solution to two decimal places Determine the p value for the hypothesis test Round the solution to four decimal places Determine the appropriate conclusion for this hypothesis test O The sample data provide sufficient evidence to reject the null hypothesis that the mean softball weight produced by this company is 188 grams and thus we conclude that the production line needs to be shut down and inspected The sample data do not provide sufficient evidence to reject the null hypothesis that the mean softball weight produced by this company is 188 grams and thus we conclude that the production line is operating correctly and does not need inspection O The sample data provide sufficient evidence to reject the alternative hypothesis that mean softball weight of softballs produced by this company is significantly different than 188 ounces and thus we conclude that the production line is operating correctly and does not need inspection The sample data do not provide sufficient evidence to reject the alternative hypothesis that mean softball weight of softballs produced by this company is significantly different than 188 ounces and thus we conclude that the production line needs to be shut down and inspected

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