Perform a hypothesis test for the mean using the following sample. The significance level alpha is 5%. Sample: 7.9, 8.3, 8.4. 9.6. 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7. Sample standard deviation =0.753. Test if mean< 8.4. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "" and numbers. Hint: in your answers use "<>" instead of "". HO: mean H1:mean 2 Test statistics value (rounded to one decimal place): 3 Conclusions, based on the results, which of the following options is correct: (type the corresponding capital letter, do not type the "dot" at the end) A. Reject HO and accept H1 at 5% significance level. B. Accept HO with 95% confidence. C. Do not reject HO at 5% significance level and reserve judgement. We may retain HO but with some unknown probability. D. Reject both, HO and H1, the test has failed. E. Accept both, HO and H1, the test has failed.

The following are the normalized levels of a critical protein in 12 samples of blood: 8.2 , 4.7 , 10.3 , 11.7 , 18.3 , 5.9 , 3.8 , 18.9 , 7.6 , 14.2 , 9.8 , 16.4 Compute the sample mean, the sample median, and the sample standard deviation.

Beer Drinking. The mean annual consumption of beer per person in the US is 22.0 gallons . A random sample of 300 Washington D.C. residents yielded a mean annual beer consumption of 27.8 gallons. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean annual consumption of beer per person for the nation’s capital differs from the national mean? Assume that the standard deviation of annual beer consumption for Washington D.C. residents is 55 gallons.

Use the magnitudes​ (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the​ range, variance, and standard deviation. If another​ value, 8.00​, is added to those listed in the data​ set, do the measures of variation change​ much?  3.30 2.77 2.80 1.96 1.69 2.54   2.43 3.44 3.92 1.58 2.87 1.63   2.56 3.95 2.50 2.44 1.82 2.19   2.44 2.99 2.92 2.35 1.98 3.06   2.78 3.86 2.95 2.07 1.86 2.36   2.37 3.46 3.45 1.54 2.54 1.49   2.22 3.06 2.27 3.20 1.96 1.91   2.40 2.95 2.61 1.49 2.16 2.33   1.91 2.70 2.92 1.80 3.66 2.69   1.43 3.60 3.13 2.56 1.54 1.41   2.83 2.85 2.20 1.68 3.18 1.38   1.73 2.37 1.15 2.35 2.46 1.81   2.01 3.00 1.94 2.42 1.85 2.24   2.35 3.22 3.97 2.10 1.48 2.31   2.31 2.62 2.55 2.20 2.77 2.46   2.69 3.57 2.84 2.75 3.26 1.74   4.72 3.23 2.36 2.00 3.83 2.41   2.88 2.67 2.32 2.80 2.80 2.40   3.41 2.34 1.49 2.41 2.45 2.50   2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data​ value, the range is 3.573.57. ​(Type an integer or…

1. Find the sample standard deviation from the following data.  1420,1223,988,694,730,836,721,742,541,623,1449,950 2.,  Construct a 99​%confidence interval for the population mean μ.

A newspaper article reported that the typical American family spent an average of $86.79 for Halloween candy and costumes last year. A sample of N = 16 families this year reported spending a mean of M = $90, with s = $21. What statistical test would be used to determine whether these data indicate a significant change in holiday spending?   single-sample t test   z test   effect-size test   paired-samples t test